Greatest Common Factor of 4658/72, 7202/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4658/72, 7202/704

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 4658/72,7202/704

Given fractions are 4658/72,7202/704

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 4658,7202

Greatest Common Factor of Numerators i.e. GCF of 4658,7202 is 2 .

LCM of Denominators means LCM of 72,704 as per the given fractions.

LCM of 72,704 is 6336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4658,7202

GCF of Fractions 4658/72,7202/704 is 2/6336

2 4658, 7202
2329, 3601

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4658,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 4658,7202 By Matching Biggest Common Factor Method

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1,2,17,34,137,274,2329,4658

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 4658,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 4658,7202 is 2.

Lets's calculate LCM of 72,704

2 72, 704
2 36, 352
2 18, 176
9, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 88 = 6336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6336

Therefore, the GCF of Fractions 4658/72,7202/704 is 2/6336

Least Common Multiple of 72,704 with GCF Formula

Least Common Multiple of 72,704 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 72,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,704) = 8

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

GCF(72,704) x common factors =8 x 1 = 8

LCM(72,704) = ( 72 × 704 ) / 8

LCM(72,704) = 50688 / 8

LCM(72,704) = 6336


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 4658/72, 7202/704

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 4658/72, 7202/704?

Answer: GCF of Numerators as per given numbers 4658/72, 7202/704 is

GCF of Numerators i.e. for 4658,7202 is 2

LCM of denominators i.e. for 72,704 is 6336.

Thus, GCF of Fractions is 2/6336.Finally, GCF of Fractions for 4658/72, 7202/704 is 2/6336.