Greatest Common Factor of 7461/106, 7575/5434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7461/106, 7575/5434

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 7461/106,7575/5434

Given fractions are 7461/106,7575/5434

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 7461,7575

Greatest Common Factor of Numerators i.e. GCF of 7461,7575 is 3 .

LCM of Denominators means LCM of 106,5434 as per the given fractions.

LCM of 106,5434 is 288002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7461,7575

GCF of Fractions 7461/106,7575/5434 is 3/288002

3 7461, 7575
2487, 2525

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7461,7575 By Matching Biggest Common Factor Method

Greatest Common Factor of 7461,7575 By Matching Biggest Common Factor Method

Factors of 7461

List of positive integer factors of 7461 that divides 7461 without a remainder.

1,3,9,829,2487,7461

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1,3,5,15,25,75,101,303,505,1515,2525,7575

Greatest Common Factor

We found the factors 7461,7575 . The biggest common factor number is the GCF number.
So the greatest common factor 7461,7575 is 3.

Lets's calculate LCM of 106,5434

2 106, 5434
53, 2717

∴ So the LCM of the given numbers is 2 x 53 x 2717 = 288002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/288002

Therefore, the GCF of Fractions 7461/106,7575/5434 is 3/288002

Least Common Multiple of 106,5434 with GCF Formula

Least Common Multiple of 106,5434 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 106,5434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,5434) = 2

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

GCF(106,5434) x common factors =2 x 1 = 2

LCM(106,5434) = ( 106 × 5434 ) / 2

LCM(106,5434) = 576004 / 2

LCM(106,5434) = 288002


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 7461/106, 7575/5434

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 7461/106, 7575/5434?

Answer: GCF of Numerators as per given numbers 7461/106, 7575/5434 is

GCF of Numerators i.e. for 7461,7575 is 3

LCM of denominators i.e. for 106,5434 is 288002.

Thus, GCF of Fractions is 3/288002.Finally, GCF of Fractions for 7461/106, 7575/5434 is 3/288002.