Greatest Common Factor of 4957/624, 8266/3635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4957/624, 8266/3635

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 4957/624,8266/3635

Given fractions are 4957/624,8266/3635

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 4957,8266

Greatest Common Factor of Numerators i.e. GCF of 4957,8266 is 1 .

LCM of Denominators means LCM of 624,3635 as per the given fractions.

LCM of 624,3635 is 2268240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4957,8266

GCF of Fractions 4957/624,8266/3635 is 1/2268240

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

Greatest Common Factor of 4957,8266 By Matching Biggest Common Factor Method

Greatest Common Factor of 4957,8266 By Matching Biggest Common Factor Method

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1,4957

Factors of 8266

List of positive integer factors of 8266 that divides 8266 without a remainder.

1,2,4133,8266

Greatest Common Factor

We found the factors 4957,8266 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,8266 is 1.

Lets's calculate LCM of 624,3635

Given numbers has no common factors except 1. So, there LCM is their product i.e 2268240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268240

Therefore, the GCF of Fractions 4957/624,8266/3635 is 1/2268240

Least Common Multiple of 624,3635 with GCF Formula

Least Common Multiple of 624,3635 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 624,3635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,3635) = 1

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

GCF(624,3635) x common factors =1 x 1 = 1

LCM(624,3635) = ( 624 × 3635 ) / 1

LCM(624,3635) = 2268240 / 1

LCM(624,3635) = 2268240


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 4957/624, 8266/3635

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 4957/624, 8266/3635?

Answer: GCF of Numerators as per given numbers 4957/624, 8266/3635 is

GCF of Numerators i.e. for 4957,8266 is 1

LCM of denominators i.e. for 624,3635 is 2268240.

Thus, GCF of Fractions is 1/2268240.Finally, GCF of Fractions for 4957/624, 8266/3635 is 1/2268240.