Greatest Common Factor of 3672/285, 9628/7435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3672/285, 9628/7435

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 3672/285,9628/7435

Given fractions are 3672/285,9628/7435

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 3672,9628

Greatest Common Factor of Numerators i.e. GCF of 3672,9628 is 4 .

LCM of Denominators means LCM of 285,7435 as per the given fractions.

LCM of 285,7435 is 423795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3672,9628

GCF of Fractions 3672/285,9628/7435 is 4/423795

2 3672, 9628
2 1836, 4814
918, 2407

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3672,9628 By Matching Biggest Common Factor Method

Greatest Common Factor of 3672,9628 By Matching Biggest Common Factor Method

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors 3672,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 3672,9628 is 4.

Lets's calculate LCM of 285,7435

5 285, 7435
57, 1487

∴ So the LCM of the given numbers is 5 x 57 x 1487 = 423795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/423795

Therefore, the GCF of Fractions 3672/285,9628/7435 is 4/423795

Least Common Multiple of 285,7435 with GCF Formula

Least Common Multiple of 285,7435 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 285,7435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,7435) = 5

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

GCF(285,7435) x common factors =5 x 1 = 5

LCM(285,7435) = ( 285 × 7435 ) / 5

LCM(285,7435) = 2118975 / 5

LCM(285,7435) = 423795


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 3672/285, 9628/7435

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 3672/285, 9628/7435?

Answer: GCF of Numerators as per given numbers 3672/285, 9628/7435 is

GCF of Numerators i.e. for 3672,9628 is 4

LCM of denominators i.e. for 285,7435 is 423795.

Thus, GCF of Fractions is 4/423795.Finally, GCF of Fractions for 3672/285, 9628/7435 is 4/423795.