Greatest Common Factor of 92/832, 4157/4420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 92/832, 4157/4420

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 92/832,4157/4420

Given fractions are 92/832,4157/4420

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 92,4157

Greatest Common Factor of Numerators i.e. GCF of 92,4157 is 1 .

LCM of Denominators means LCM of 832,4420 as per the given fractions.

LCM of 832,4420 is 70720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,4157

GCF of Fractions 92/832,4157/4420 is 1/70720

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

Greatest Common Factor of 92,4157 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,4157 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 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1,4157

Greatest Common Factor

We found the factors 92,4157 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4157 is 1.


Lets's calculate LCM of 832,4420

2 832, 4420
2 416, 2210
13 208, 1105
16, 85

∴ So the LCM of the given numbers is 2 x 2 x 13 x 16 x 85 = 70720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70720

Therefore, the GCF of Fractions 92/832,4157/4420 is 1/70720

Least Common Multiple of 832,4420 with GCF Formula

Least Common Multiple of 832,4420 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 832,4420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,4420) = 52

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

GCF(832,4420) x common factors =52 x 1 = 52

LCM(832,4420) = ( 832 × 4420 ) / 52

LCM(832,4420) = 3677440 / 52

LCM(832,4420) = 70720


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 92/832, 4157/4420

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 92/832, 4157/4420?

Answer: GCF of Numerators as per given numbers 92/832, 4157/4420 is

GCF of Numerators i.e. for 92,4157 is 1

LCM of denominators i.e. for 832,4420 is 70720.

Thus, GCF of Fractions is 1/70720.Finally, GCF of Fractions for 92/832, 4157/4420 is 1/70720.