Greatest Common Factor of 3865/930, 5597/4926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3865/930, 5597/4926

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 3865/930,5597/4926

Given fractions are 3865/930,5597/4926

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 3865,5597

Greatest Common Factor of Numerators i.e. GCF of 3865,5597 is 1 .

LCM of Denominators means LCM of 930,4926 as per the given fractions.

LCM of 930,4926 is 763530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3865,5597

GCF of Fractions 3865/930,5597/4926 is 1/763530

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

Greatest Common Factor of 3865,5597 By Matching Biggest Common Factor Method

Greatest Common Factor of 3865,5597 By Matching Biggest Common Factor Method

Factors of 3865

List of positive integer factors of 3865 that divides 3865 without a remainder.

1,5,773,3865

Factors of 5597

List of positive integer factors of 5597 that divides 5597 without a remainder.

1,29,193,5597

Greatest Common Factor

We found the factors 3865,5597 . The biggest common factor number is the GCF number.
So the greatest common factor 3865,5597 is 1.

Lets's calculate LCM of 930,4926

2 930, 4926
3 465, 2463
155, 821

∴ So the LCM of the given numbers is 2 x 3 x 155 x 821 = 763530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763530

Therefore, the GCF of Fractions 3865/930,5597/4926 is 1/763530

Least Common Multiple of 930,4926 with GCF Formula

Least Common Multiple of 930,4926 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 930,4926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,4926) = 6

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

GCF(930,4926) x common factors =6 x 1 = 6

LCM(930,4926) = ( 930 × 4926 ) / 6

LCM(930,4926) = 4581180 / 6

LCM(930,4926) = 763530


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 3865/930, 5597/4926

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 3865/930, 5597/4926?

Answer: GCF of Numerators as per given numbers 3865/930, 5597/4926 is

GCF of Numerators i.e. for 3865,5597 is 1

LCM of denominators i.e. for 930,4926 is 763530.

Thus, GCF of Fractions is 1/763530.Finally, GCF of Fractions for 3865/930, 5597/4926 is 1/763530.