Greatest Common Factor of 92/53, 37/78, 295/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/53, 37/78, 295/421

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 92/53,37/78,295/421

Given fractions are 92/53,37/78,295/421

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 92,37,295

Greatest Common Factor of Numerators i.e. GCF of 92,37,295 is 1 .

LCM of Denominators means LCM of 53,78,421 as per the given fractions.

LCM of 53,78,421 is 1740414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,37,295

GCF of Fractions 92/53,37/78,295/421 is 1/1740414

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

Greatest Common Factor of 92,37,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,37,295 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 92,37,295 . The biggest common factor number is the GCF number.
So the greatest common factor 92,37,295 is 1.

Lets's calculate LCM of 53,78,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1740414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1740414

Therefore, the GCF of Fractions 92/53,37/78,295/421 is 1/1740414

Least Common Multiple of 53,78,421 with GCF Formula

Least Common Multiple of 53,78,421 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 53,78,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,78,421) = 1

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

GCF(53,78,421) x common factors =1 x 1 = 1

LCM(53,78,421) = ( 53 × 78 × 421 ) / 1

LCM(53,78,421) = 1740414 / 1

LCM(53,78,421) = 1740414


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 92/53, 37/78, 295/421

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 92/53, 37/78, 295/421?

Answer: GCF of Numerators as per given numbers 92/53, 37/78, 295/421 is

GCF of Numerators i.e. for 92,37,295 is 1

LCM of denominators i.e. for 53,78,421 is 1740414.

Thus, GCF of Fractions is 1/1740414.Finally, GCF of Fractions for 92/53, 37/78, 295/421 is 1/1740414.