Greatest Common Factor of 35/737, 567/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/737, 567/821

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 35/737,567/821

Given fractions are 35/737,567/821

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 35,567

Greatest Common Factor of Numerators i.e. GCF of 35,567 is 7 .

LCM of Denominators means LCM of 737,821 as per the given fractions.

LCM of 737,821 is 605077 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,567

GCF of Fractions 35/737,567/821 is 7/605077

7 35, 567
5, 81

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 35,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,567 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 35,567 . The biggest common factor number is the GCF number.
So the greatest common factor 35,567 is 7.

Lets's calculate LCM of 737,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 605077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/605077

Therefore, the GCF of Fractions 35/737,567/821 is 7/605077

Least Common Multiple of 737,821 with GCF Formula

Least Common Multiple of 737,821 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 737,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,821) = 1

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

GCF(737,821) x common factors =1 x 1 = 1

LCM(737,821) = ( 737 × 821 ) / 1

LCM(737,821) = 605077 / 1

LCM(737,821) = 605077


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 35/737, 567/821

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 35/737, 567/821?

Answer: GCF of Numerators as per given numbers 35/737, 567/821 is

GCF of Numerators i.e. for 35,567 is 7

LCM of denominators i.e. for 737,821 is 605077.

Thus, GCF of Fractions is 7/605077.Finally, GCF of Fractions for 35/737, 567/821 is 7/605077.