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GCF of 880/66, 699/438

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 880/66, 699/438 i.e 1/4818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/66, 699/438.

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 880/66,699/438?

Given fractions are 880/66,699/438

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 880/66,699/438, numerators are 880,699

Denominators are 66,438

The GCF of 880,699 is 1 .

LCM of 66,438 is 4818.

The greatest common factor of 880/66,699/438 = [GCF of 880,699]/[LCM of 66,438]= 1/4818

Therefore, the GCF of 880/66,699/438 is 1/4818.

Greatest Common Factor of 880,699

To find the highest common factor of 880,699, we have to find the factors of both numbers and list the highest common factor.

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 699 are 1, 3, 233, 699

The HCF of 880,699 is 1.

Lets's calculate GCF of 880,699

Greatest Common Factor (GCF) of 880,699 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 880,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,699 By Matching Biggest Common Factor Method

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 699

:

1,3,233,699

Greatest Common Factor

We found the factors 880,699 . The biggest common factor number is the GCF number.
So the greatest common factor 880,699 is 1.


Lets's calculate LCM of 66,438

Lowest Common Multiple of 66,438 using Common Division

2 66, 438
3 33, 219
11, 73

∴ So the LCM of the given numbers is 2 x 3 x 11 x 73 = 4818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4818

Therefore, the GCF of Fractions 880/66,699/438 is 1/4818

Least Common Multiple of 66,438 with GCF Formula

Least Common Multiple of 66,438 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 66,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,438) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(66,438) x common factors =6 x 1 = 6

LCM(66,438) = ( 66 × 438 ) / 6

LCM(66,438) = 28908 / 6

LCM(66,438) = 4818


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 880/66, 699/438

1. What is the HCF of 880,699?

The HCF of 880,699 is 1

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 880/66, 699/438?

Answer: GCF of Numerators as per given numbers 880/66, 699/438 is

GCF of Numerators i.e. for 880,699 is 1

LCM of denominators i.e. for 66,438 is 4818.

Thus, GCF of Fractions is 1/4818.Finally, GCF of Fractions for 880/66, 699/438 is 1/4818.