Greatest Common Factor of 3560/495, 7702/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3560/495, 7702/738

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 3560/495,7702/738

Given fractions are 3560/495,7702/738

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 3560,7702

Greatest Common Factor of Numerators i.e. GCF of 3560,7702 is 2 .

LCM of Denominators means LCM of 495,738 as per the given fractions.

LCM of 495,738 is 40590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3560,7702

GCF of Fractions 3560/495,7702/738 is 2/40590

2 3560, 7702
1780, 3851

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

Greatest Common Factor of 3560,7702 By Matching Biggest Common Factor Method

Greatest Common Factor of 3560,7702 By Matching Biggest Common Factor Method

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Factors of 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1,2,3851,7702

Greatest Common Factor

We found the factors 3560,7702 . The biggest common factor number is the GCF number.
So the greatest common factor 3560,7702 is 2.

Lets's calculate LCM of 495,738

3 495, 738
3 165, 246
55, 82

∴ So the LCM of the given numbers is 3 x 3 x 55 x 82 = 40590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40590

Therefore, the GCF of Fractions 3560/495,7702/738 is 2/40590

Least Common Multiple of 495,738 with GCF Formula

Least Common Multiple of 495,738 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 495,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,738) = 9

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

GCF(495,738) x common factors =9 x 1 = 9

LCM(495,738) = ( 495 × 738 ) / 9

LCM(495,738) = 365310 / 9

LCM(495,738) = 40590


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 3560/495, 7702/738

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 3560/495, 7702/738?

Answer: GCF of Numerators as per given numbers 3560/495, 7702/738 is

GCF of Numerators i.e. for 3560,7702 is 2

LCM of denominators i.e. for 495,738 is 40590.

Thus, GCF of Fractions is 2/40590.Finally, GCF of Fractions for 3560/495, 7702/738 is 2/40590.