Greatest Common Factor of 92/38, 455/15, 695/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/38, 455/15, 695/253

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 92/38,455/15,695/253

Given fractions are 92/38,455/15,695/253

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 92,455,695

Greatest Common Factor of Numerators i.e. GCF of 92,455,695 is 1 .

LCM of Denominators means LCM of 38,15,253 as per the given fractions.

LCM of 38,15,253 is 144210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,455,695

GCF of Fractions 92/38,455/15,695/253 is 1/144210

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

Greatest Common Factor of 92,455,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,455,695 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 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 92,455,695 . The biggest common factor number is the GCF number.
So the greatest common factor 92,455,695 is 1.

Lets's calculate LCM of 38,15,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 144210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144210

Therefore, the GCF of Fractions 92/38,455/15,695/253 is 1/144210

Least Common Multiple of 38,15,253 with GCF Formula

Least Common Multiple of 38,15,253 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 38,15,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,15,253) = 1

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

GCF(38,15,253) x common factors =1 x 1 = 1

LCM(38,15,253) = ( 38 × 15 × 253 ) / 1

LCM(38,15,253) = 144210 / 1

LCM(38,15,253) = 144210


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 92/38, 455/15, 695/253

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 92/38, 455/15, 695/253?

Answer: GCF of Numerators as per given numbers 92/38, 455/15, 695/253 is

GCF of Numerators i.e. for 92,455,695 is 1

LCM of denominators i.e. for 38,15,253 is 144210.

Thus, GCF of Fractions is 1/144210.Finally, GCF of Fractions for 92/38, 455/15, 695/253 is 1/144210.