Greatest Common Factor of 3646/786, 5972/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3646/786, 5972/970

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 3646/786,5972/970

Given fractions are 3646/786,5972/970

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 3646,5972

Greatest Common Factor of Numerators i.e. GCF of 3646,5972 is 2 .

LCM of Denominators means LCM of 786,970 as per the given fractions.

LCM of 786,970 is 381210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3646,5972

GCF of Fractions 3646/786,5972/970 is 2/381210

2 3646, 5972
1823, 2986

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

Greatest Common Factor of 3646,5972 By Matching Biggest Common Factor Method

Greatest Common Factor of 3646,5972 By Matching Biggest Common Factor Method

Factors of 3646

List of positive integer factors of 3646 that divides 3646 without a remainder.

1,2,1823,3646

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1,2,4,1493,2986,5972

Greatest Common Factor

We found the factors 3646,5972 . The biggest common factor number is the GCF number.
So the greatest common factor 3646,5972 is 2.

Lets's calculate LCM of 786,970

2 786, 970
393, 485

∴ So the LCM of the given numbers is 2 x 393 x 485 = 381210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/381210

Therefore, the GCF of Fractions 3646/786,5972/970 is 2/381210

Least Common Multiple of 786,970 with GCF Formula

Least Common Multiple of 786,970 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 786,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,970) = 2

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

GCF(786,970) x common factors =2 x 1 = 2

LCM(786,970) = ( 786 × 970 ) / 2

LCM(786,970) = 762420 / 2

LCM(786,970) = 381210


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 3646/786, 5972/970

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 3646/786, 5972/970?

Answer: GCF of Numerators as per given numbers 3646/786, 5972/970 is

GCF of Numerators i.e. for 3646,5972 is 2

LCM of denominators i.e. for 786,970 is 381210.

Thus, GCF of Fractions is 2/381210.Finally, GCF of Fractions for 3646/786, 5972/970 is 2/381210.