Greatest Common Factor of 4709/36, 7069/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4709/36, 7069/772

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 4709/36,7069/772

Given fractions are 4709/36,7069/772

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 4709,7069

Greatest Common Factor of Numerators i.e. GCF of 4709,7069 is 1 .

LCM of Denominators means LCM of 36,772 as per the given fractions.

LCM of 36,772 is 6948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4709,7069

GCF of Fractions 4709/36,7069/772 is 1/6948

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

Greatest Common Factor of 4709,7069 By Matching Biggest Common Factor Method

Greatest Common Factor of 4709,7069 By Matching Biggest Common Factor Method

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1,17,277,4709

Factors of 7069

List of positive integer factors of 7069 that divides 7069 without a remainder.

1,7069

Greatest Common Factor

We found the factors 4709,7069 . The biggest common factor number is the GCF number.
So the greatest common factor 4709,7069 is 1.

Lets's calculate LCM of 36,772

2 36, 772
2 18, 386
9, 193

∴ So the LCM of the given numbers is 2 x 2 x 9 x 193 = 6948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6948

Therefore, the GCF of Fractions 4709/36,7069/772 is 1/6948

Least Common Multiple of 36,772 with GCF Formula

Least Common Multiple of 36,772 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 36,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,772) = 4

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

GCF(36,772) x common factors =4 x 1 = 4

LCM(36,772) = ( 36 × 772 ) / 4

LCM(36,772) = 27792 / 4

LCM(36,772) = 6948


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 4709/36, 7069/772

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 4709/36, 7069/772?

Answer: GCF of Numerators as per given numbers 4709/36, 7069/772 is

GCF of Numerators i.e. for 4709,7069 is 1

LCM of denominators i.e. for 36,772 is 6948.

Thus, GCF of Fractions is 1/6948.Finally, GCF of Fractions for 4709/36, 7069/772 is 1/6948.