Greatest Common Factor of 10/92, 631/60, 125/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 10/92, 631/60, 125/753

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 10/92,631/60,125/753

Given fractions are 10/92,631/60,125/753

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 10,631,125

Greatest Common Factor of Numerators i.e. GCF of 10,631,125 is 1 .

LCM of Denominators means LCM of 92,60,753 as per the given fractions.

LCM of 92,60,753 is 346380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,631,125

GCF of Fractions 10/92,631/60,125/753 is 1/346380

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

Greatest Common Factor of 10,631,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,631,125 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 10,631,125 . The biggest common factor number is the GCF number.
So the greatest common factor 10,631,125 is 1.


Lets's calculate LCM of 92,60,753

2 92, 60, 753
2 46, 30, 753
3 23, 15, 753
23, 5, 251

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 251 = 346380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346380

Therefore, the GCF of Fractions 10/92,631/60,125/753 is 1/346380

Least Common Multiple of 92,60,753 with GCF Formula

Least Common Multiple of 92,60,753 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 92,60,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,60,753) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,60,753) x common factors =1 x 12 = 12

LCM(92,60,753) = ( 92 × 60 × 753 ) / 12

LCM(92,60,753) = 4156560 / 12

LCM(92,60,753) = 346380


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 10/92, 631/60, 125/753

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 10/92, 631/60, 125/753?

Answer: GCF of Numerators as per given numbers 10/92, 631/60, 125/753 is

GCF of Numerators i.e. for 10,631,125 is 1

LCM of denominators i.e. for 92,60,753 is 346380.

Thus, GCF of Fractions is 1/346380.Finally, GCF of Fractions for 10/92, 631/60, 125/753 is 1/346380.