Greatest Common Factor of 374/78, 1716/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/78, 1716/812

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 374/78,1716/812

Given fractions are 374/78,1716/812

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 374,1716

Greatest Common Factor of Numerators i.e. GCF of 374,1716 is 22 .

LCM of Denominators means LCM of 78,812 as per the given fractions.

LCM of 78,812 is 31668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,1716

GCF of Fractions 374/78,1716/812 is 22/31668

2 374, 1716
11 187, 858
17, 78

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 374,1716 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,1716 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Greatest Common Factor

We found the factors 374,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 374,1716 is 22.

Lets's calculate LCM of 78,812

2 78, 812
39, 406

∴ So the LCM of the given numbers is 2 x 39 x 406 = 31668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/31668

Therefore, the GCF of Fractions 374/78,1716/812 is 22/31668

Least Common Multiple of 78,812 with GCF Formula

Least Common Multiple of 78,812 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 78,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,812) = 2

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

GCF(78,812) x common factors =2 x 1 = 2

LCM(78,812) = ( 78 × 812 ) / 2

LCM(78,812) = 63336 / 2

LCM(78,812) = 31668


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 374/78, 1716/812

1. 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.

2. What is the GCF of Fractions for 374/78, 1716/812?

Answer: GCF of Numerators as per given numbers 374/78, 1716/812 is

GCF of Numerators i.e. for 374,1716 is 22

LCM of denominators i.e. for 78,812 is 31668.

Thus, GCF of Fractions is 22/31668.Finally, GCF of Fractions for 374/78, 1716/812 is 22/31668.