Greatest Common Factor of 121/51, 525/58, 110/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 121/51, 525/58, 110/461

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 121/51,525/58,110/461

Given fractions are 121/51,525/58,110/461

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 121,525,110

Greatest Common Factor of Numerators i.e. GCF of 121,525,110 is 1 .

LCM of Denominators means LCM of 51,58,461 as per the given fractions.

LCM of 51,58,461 is 1363638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 121,525,110

GCF of Fractions 121/51,525/58,110/461 is 1/1363638

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

Greatest Common Factor of 121,525,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,525,110 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 121,525,110 . The biggest common factor number is the GCF number.
So the greatest common factor 121,525,110 is 1.

Lets's calculate LCM of 51,58,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1363638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1363638

Therefore, the GCF of Fractions 121/51,525/58,110/461 is 1/1363638

Least Common Multiple of 51,58,461 with GCF Formula

Least Common Multiple of 51,58,461 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 51,58,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,58,461) = 1

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

GCF(51,58,461) x common factors =1 x 1 = 1

LCM(51,58,461) = ( 51 × 58 × 461 ) / 1

LCM(51,58,461) = 1363638 / 1

LCM(51,58,461) = 1363638


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 121/51, 525/58, 110/461

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 121/51, 525/58, 110/461?

Answer: GCF of Numerators as per given numbers 121/51, 525/58, 110/461 is

GCF of Numerators i.e. for 121,525,110 is 1

LCM of denominators i.e. for 51,58,461 is 1363638.

Thus, GCF of Fractions is 1/1363638.Finally, GCF of Fractions for 121/51, 525/58, 110/461 is 1/1363638.