Greatest Common Factor of 506/852, 9207/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/852, 9207/635

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 506/852,9207/635

Given fractions are 506/852,9207/635

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 506,9207

Greatest Common Factor of Numerators i.e. GCF of 506,9207 is 11 .

LCM of Denominators means LCM of 852,635 as per the given fractions.

LCM of 852,635 is 541020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,9207

GCF of Fractions 506/852,9207/635 is 11/541020

11 506, 9207
46, 837

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 506,9207 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,9207 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Greatest Common Factor

We found the factors 506,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 506,9207 is 11.

Lets's calculate LCM of 852,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 541020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/541020

Therefore, the GCF of Fractions 506/852,9207/635 is 11/541020

Least Common Multiple of 852,635 with GCF Formula

Least Common Multiple of 852,635 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 852,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,635) = 1

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

GCF(852,635) x common factors =1 x 1 = 1

LCM(852,635) = ( 852 × 635 ) / 1

LCM(852,635) = 541020 / 1

LCM(852,635) = 541020


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 506/852, 9207/635

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 506/852, 9207/635?

Answer: GCF of Numerators as per given numbers 506/852, 9207/635 is

GCF of Numerators i.e. for 506,9207 is 11

LCM of denominators i.e. for 852,635 is 541020.

Thus, GCF of Fractions is 11/541020.Finally, GCF of Fractions for 506/852, 9207/635 is 11/541020.