Greatest Common Factor of 4397/126, 5646/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4397/126, 5646/934

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 4397/126,5646/934

Given fractions are 4397/126,5646/934

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 4397,5646

Greatest Common Factor of Numerators i.e. GCF of 4397,5646 is 1 .

LCM of Denominators means LCM of 126,934 as per the given fractions.

LCM of 126,934 is 58842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4397,5646

GCF of Fractions 4397/126,5646/934 is 1/58842

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

Greatest Common Factor of 4397,5646 By Matching Biggest Common Factor Method

Greatest Common Factor of 4397,5646 By Matching Biggest Common Factor Method

Factors of 4397

List of positive integer factors of 4397 that divides 4397 without a remainder.

1,4397

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Greatest Common Factor

We found the factors 4397,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,5646 is 1.

Lets's calculate LCM of 126,934

2 126, 934
63, 467

∴ So the LCM of the given numbers is 2 x 63 x 467 = 58842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58842

Therefore, the GCF of Fractions 4397/126,5646/934 is 1/58842

Least Common Multiple of 126,934 with GCF Formula

Least Common Multiple of 126,934 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 126,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,934) = 2

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

GCF(126,934) x common factors =2 x 1 = 2

LCM(126,934) = ( 126 × 934 ) / 2

LCM(126,934) = 117684 / 2

LCM(126,934) = 58842


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 4397/126, 5646/934

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 4397/126, 5646/934?

Answer: GCF of Numerators as per given numbers 4397/126, 5646/934 is

GCF of Numerators i.e. for 4397,5646 is 1

LCM of denominators i.e. for 126,934 is 58842.

Thus, GCF of Fractions is 1/58842.Finally, GCF of Fractions for 4397/126, 5646/934 is 1/58842.