Greatest Common Factor of 3734/174, 2740/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3734/174, 2740/757

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 3734/174,2740/757

Given fractions are 3734/174,2740/757

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 3734,2740

Greatest Common Factor of Numerators i.e. GCF of 3734,2740 is 2 .

LCM of Denominators means LCM of 174,757 as per the given fractions.

LCM of 174,757 is 131718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3734,2740

GCF of Fractions 3734/174,2740/757 is 2/131718

2 3734, 2740
1867, 1370

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

Greatest Common Factor of 3734,2740 By Matching Biggest Common Factor Method

Greatest Common Factor of 3734,2740 By Matching Biggest Common Factor Method

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Greatest Common Factor

We found the factors 3734,2740 . The biggest common factor number is the GCF number.
So the greatest common factor 3734,2740 is 2.

Lets's calculate LCM of 174,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 131718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131718

Therefore, the GCF of Fractions 3734/174,2740/757 is 2/131718

Least Common Multiple of 174,757 with GCF Formula

Least Common Multiple of 174,757 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 174,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,757) = 1

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

GCF(174,757) x common factors =1 x 1 = 1

LCM(174,757) = ( 174 × 757 ) / 1

LCM(174,757) = 131718 / 1

LCM(174,757) = 131718


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3734/174, 2740/757

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 3734/174, 2740/757?

Answer: GCF of Numerators as per given numbers 3734/174, 2740/757 is

GCF of Numerators i.e. for 3734,2740 is 2

LCM of denominators i.e. for 174,757 is 131718.

Thus, GCF of Fractions is 2/131718.Finally, GCF of Fractions for 3734/174, 2740/757 is 2/131718.