Greatest Common Factor of 407/92, 602/26, 160/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/92, 602/26, 160/92

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 407/92,602/26,160/92

Given fractions are 407/92,602/26,160/92

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 407,602,160

Greatest Common Factor of Numerators i.e. GCF of 407,602,160 is 1 .

LCM of Denominators means LCM of 92,26,92 as per the given fractions.

LCM of 92,26,92 is 1196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,602,160

GCF of Fractions 407/92,602/26,160/92 is 1/1196

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

Greatest Common Factor of 407,602,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,602,160 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 407,602,160 . The biggest common factor number is the GCF number.
So the greatest common factor 407,602,160 is 1.

Lets's calculate LCM of 92,26,92

2 92, 26, 92
2 46, 13, 46
23 23, 13, 23
1, 13, 1

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 13 x 1 = 1196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1196

Therefore, the GCF of Fractions 407/92,602/26,160/92 is 1/1196

Least Common Multiple of 92,26,92 with GCF Formula

Least Common Multiple of 92,26,92 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 92,26,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,26,92) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(92,26,92) x common factors =2 x 92 = 184

LCM(92,26,92) = ( 92 × 26 × 92 ) / 184

LCM(92,26,92) = 220064 / 184

LCM(92,26,92) = 1196


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 407/92, 602/26, 160/92

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 407/92, 602/26, 160/92?

Answer: GCF of Numerators as per given numbers 407/92, 602/26, 160/92 is

GCF of Numerators i.e. for 407,602,160 is 1

LCM of denominators i.e. for 92,26,92 is 1196.

Thus, GCF of Fractions is 1/1196.Finally, GCF of Fractions for 407/92, 602/26, 160/92 is 1/1196.