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GCF of 917/16, 696/1648

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 917/16, 696/1648 i.e 1/1648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 917/16, 696/1648.

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 917/16,696/1648?

Given fractions are 917/16,696/1648

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 917/16,696/1648, numerators are 917,696

Denominators are 16,1648

The GCF of 917,696 is 1 .

LCM of 16,1648 is 1648.

The greatest common factor of 917/16,696/1648 = [GCF of 917,696]/[LCM of 16,1648]= 1/1648

Therefore, the GCF of 917/16,696/1648 is 1/1648.

Greatest Common Factor of 917,696

To find the highest common factor of 917,696, we have to find the factors of both numbers and list the highest common factor.

The factors of 917 are 1, 7, 131, 917

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

The HCF of 917,696 is 1.

Lets's calculate GCF of 917,696

Greatest Common Factor (GCF) of 917,696 By Common Division

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

Greatest Common Factor of 917,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,696 By Matching Biggest Common Factor Method

Now, list down the factors of 917

:

1,7,131,917

Now, list down the factors of 696

:

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

Greatest Common Factor

We found the factors 917,696 . The biggest common factor number is the GCF number.
So the greatest common factor 917,696 is 1.

Lets's calculate LCM of 16,1648

Lowest Common Multiple of 16,1648 using Common Division

2 16, 1648
2 8, 824
2 4, 412
2 2, 206
1, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 103 = 1648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1648

Therefore, the GCF of Fractions 917/16,696/1648 is 1/1648

Least Common Multiple of 16,1648 with GCF Formula

Least Common Multiple of 16,1648 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 16,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,1648) = 16

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

GCF(16,1648) x common factors =16 x 1 = 16

LCM(16,1648) = ( 16 × 1648 ) / 16

LCM(16,1648) = 26368 / 16

LCM(16,1648) = 1648


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 917/16, 696/1648

1. What is the HCF of 917,696?

The HCF of 917,696 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 917/16, 696/1648?

Answer: GCF of Numerators as per given numbers 917/16, 696/1648 is

GCF of Numerators i.e. for 917,696 is 1

LCM of denominators i.e. for 16,1648 is 1648.

Thus, GCF of Fractions is 1/1648.Finally, GCF of Fractions for 917/16, 696/1648 is 1/1648.