Greatest Common Factor of 7420/733, 6304/7410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7420/733, 6304/7410

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 7420/733,6304/7410

Given fractions are 7420/733,6304/7410

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 7420,6304

Greatest Common Factor of Numerators i.e. GCF of 7420,6304 is 4 .

LCM of Denominators means LCM of 733,7410 as per the given fractions.

LCM of 733,7410 is 5431530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7420,6304

GCF of Fractions 7420/733,6304/7410 is 4/5431530

2 7420, 6304
2 3710, 3152
1855, 1576

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7420,6304 By Matching Biggest Common Factor Method

Greatest Common Factor of 7420,6304 By Matching Biggest Common Factor Method

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Greatest Common Factor

We found the factors 7420,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,6304 is 4.

Lets's calculate LCM of 733,7410

Given numbers has no common factors except 1. So, there LCM is their product i.e 5431530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5431530

Therefore, the GCF of Fractions 7420/733,6304/7410 is 4/5431530

Least Common Multiple of 733,7410 with GCF Formula

Least Common Multiple of 733,7410 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 733,7410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,7410) = 1

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

GCF(733,7410) x common factors =1 x 1 = 1

LCM(733,7410) = ( 733 × 7410 ) / 1

LCM(733,7410) = 5431530 / 1

LCM(733,7410) = 5431530


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 7420/733, 6304/7410

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 7420/733, 6304/7410?

Answer: GCF of Numerators as per given numbers 7420/733, 6304/7410 is

GCF of Numerators i.e. for 7420,6304 is 4

LCM of denominators i.e. for 733,7410 is 5431530.

Thus, GCF of Fractions is 4/5431530.Finally, GCF of Fractions for 7420/733, 6304/7410 is 4/5431530.