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GCF of 696/48, 880/17, 522/56

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 696/48, 880/17, 522/56 i.e 2/5712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 696/48, 880/17, 522/56.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 696/48,880/17,522/56?

Given fractions are 696/48,880/17,522/56

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 696/48,880/17,522/56, numerators are 696,880,522

Denominators are 48,17,56

The GCF of 696,880,522 is 2 .

LCM of 48,17,56 is 5712.

The greatest common factor of 696/48,880/17,522/56 = [GCF of 696,880,522]/[LCM of 48,17,56]= 2/5712

Therefore, the GCF of 696/48,880/17,522/56 is 2/5712.

Greatest Common Factor of 696,880,522

To find the highest common factor of 696,880,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 696,880,522 is 2.

Lets's calculate GCF of 696,880,522

Greatest Common Factor (GCF) of 696,880,522 By Common Division

2 696, 880, 522
348, 440, 261

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 696,880,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,880,522 By Matching Biggest Common Factor Method

Now, list down the factors of 696

:

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Now, list down the factors of 880

:

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 696,880,522 . The biggest common factor number is the GCF number.
So the greatest common factor 696,880,522 is 2.


Lets's calculate LCM of 48,17,56

Lowest Common Multiple of 48,17,56 using Common Division

2 48, 17, 56
2 24, 17, 28
2 12, 17, 14
6, 17, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 17 x 7 = 5712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5712

Therefore, the GCF of Fractions 696/48,880/17,522/56 is 2/5712

Least Common Multiple of 48,17,56 with GCF Formula

Least Common Multiple of 48,17,56 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,17,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,17,56) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(48,17,56) x common factors =1 x 8 = 8

LCM(48,17,56) = ( 48 × 17 × 56 ) / 8

LCM(48,17,56) = 45696 / 8

LCM(48,17,56) = 5712


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 696/48, 880/17, 522/56

1. What is the HCF of 696,880,522?

The HCF of 696,880,522 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 696/48, 880/17, 522/56?

Answer: GCF of Numerators as per given numbers 696/48, 880/17, 522/56 is

GCF of Numerators i.e. for 696,880,522 is 2

LCM of denominators i.e. for 48,17,56 is 5712.

Thus, GCF of Fractions is 2/5712.Finally, GCF of Fractions for 696/48, 880/17, 522/56 is 2/5712.