Greatest Common Factor of 4283/972, 3007/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4283/972, 3007/139

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 4283/972,3007/139

Given fractions are 4283/972,3007/139

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 4283,3007

Greatest Common Factor of Numerators i.e. GCF of 4283,3007 is 1 .

LCM of Denominators means LCM of 972,139 as per the given fractions.

LCM of 972,139 is 135108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4283,3007

GCF of Fractions 4283/972,3007/139 is 1/135108

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

Greatest Common Factor of 4283,3007 By Matching Biggest Common Factor Method

Greatest Common Factor of 4283,3007 By Matching Biggest Common Factor Method

Factors of 4283

List of positive integer factors of 4283 that divides 4283 without a remainder.

1,4283

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1,31,97,3007

Greatest Common Factor

We found the factors 4283,3007 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,3007 is 1.

Lets's calculate LCM of 972,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 135108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135108

Therefore, the GCF of Fractions 4283/972,3007/139 is 1/135108

Least Common Multiple of 972,139 with GCF Formula

Least Common Multiple of 972,139 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 972,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,139) = 1

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

GCF(972,139) x common factors =1 x 1 = 1

LCM(972,139) = ( 972 × 139 ) / 1

LCM(972,139) = 135108 / 1

LCM(972,139) = 135108


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 4283/972, 3007/139

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 4283/972, 3007/139?

Answer: GCF of Numerators as per given numbers 4283/972, 3007/139 is

GCF of Numerators i.e. for 4283,3007 is 1

LCM of denominators i.e. for 972,139 is 135108.

Thus, GCF of Fractions is 1/135108.Finally, GCF of Fractions for 4283/972, 3007/139 is 1/135108.