Greatest Common Factor of 7532/335, 8049/8401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7532/335, 8049/8401

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 7532/335,8049/8401

Given fractions are 7532/335,8049/8401

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 7532,8049

Greatest Common Factor of Numerators i.e. GCF of 7532,8049 is 1 .

LCM of Denominators means LCM of 335,8401 as per the given fractions.

LCM of 335,8401 is 2814335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7532,8049

GCF of Fractions 7532/335,8049/8401 is 1/2814335

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

Greatest Common Factor of 7532,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 7532,8049 By Matching Biggest Common Factor Method

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 7532,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 7532,8049 is 1.

Lets's calculate LCM of 335,8401

Given numbers has no common factors except 1. So, there LCM is their product i.e 2814335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2814335

Therefore, the GCF of Fractions 7532/335,8049/8401 is 1/2814335

Least Common Multiple of 335,8401 with GCF Formula

Least Common Multiple of 335,8401 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 335,8401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,8401) = 1

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

GCF(335,8401) x common factors =1 x 1 = 1

LCM(335,8401) = ( 335 × 8401 ) / 1

LCM(335,8401) = 2814335 / 1

LCM(335,8401) = 2814335


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 7532/335, 8049/8401

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 7532/335, 8049/8401?

Answer: GCF of Numerators as per given numbers 7532/335, 8049/8401 is

GCF of Numerators i.e. for 7532,8049 is 1

LCM of denominators i.e. for 335,8401 is 2814335.

Thus, GCF of Fractions is 1/2814335.Finally, GCF of Fractions for 7532/335, 8049/8401 is 1/2814335.