Greatest Common Factor of 8062/496, 7650/3593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8062/496, 7650/3593

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 8062/496,7650/3593

Given fractions are 8062/496,7650/3593

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 8062,7650

Greatest Common Factor of Numerators i.e. GCF of 8062,7650 is 2 .

LCM of Denominators means LCM of 496,3593 as per the given fractions.

LCM of 496,3593 is 1782128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8062,7650

GCF of Fractions 8062/496,7650/3593 is 2/1782128

2 8062, 7650
4031, 3825

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

Greatest Common Factor of 8062,7650 By Matching Biggest Common Factor Method

Greatest Common Factor of 8062,7650 By Matching Biggest Common Factor Method

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1,2,29,58,139,278,4031,8062

Factors of 7650

List of positive integer factors of 7650 that divides 7650 without a remainder.

1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650

Greatest Common Factor

We found the factors 8062,7650 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,7650 is 2.

Lets's calculate LCM of 496,3593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1782128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1782128

Therefore, the GCF of Fractions 8062/496,7650/3593 is 2/1782128

Least Common Multiple of 496,3593 with GCF Formula

Least Common Multiple of 496,3593 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 496,3593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,3593) = 1

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

GCF(496,3593) x common factors =1 x 1 = 1

LCM(496,3593) = ( 496 × 3593 ) / 1

LCM(496,3593) = 1782128 / 1

LCM(496,3593) = 1782128


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 8062/496, 7650/3593

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 8062/496, 7650/3593?

Answer: GCF of Numerators as per given numbers 8062/496, 7650/3593 is

GCF of Numerators i.e. for 8062,7650 is 2

LCM of denominators i.e. for 496,3593 is 1782128.

Thus, GCF of Fractions is 2/1782128.Finally, GCF of Fractions for 8062/496, 7650/3593 is 2/1782128.