Greatest Common Factor of 8973/74, 6216/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8973/74, 6216/275

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 8973/74,6216/275

Given fractions are 8973/74,6216/275

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 8973,6216

Greatest Common Factor of Numerators i.e. GCF of 8973,6216 is 3 .

LCM of Denominators means LCM of 74,275 as per the given fractions.

LCM of 74,275 is 20350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8973,6216

GCF of Fractions 8973/74,6216/275 is 3/20350

3 8973, 6216
2991, 2072

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8973,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 8973,6216 By Matching Biggest Common Factor Method

Factors of 8973

List of positive integer factors of 8973 that divides 8973 without a remainder.

1,3,9,997,2991,8973

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Greatest Common Factor

We found the factors 8973,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 8973,6216 is 3.

Lets's calculate LCM of 74,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 20350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20350

Therefore, the GCF of Fractions 8973/74,6216/275 is 3/20350

Least Common Multiple of 74,275 with GCF Formula

Least Common Multiple of 74,275 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 74,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,275) = 1

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

GCF(74,275) x common factors =1 x 1 = 1

LCM(74,275) = ( 74 × 275 ) / 1

LCM(74,275) = 20350 / 1

LCM(74,275) = 20350


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 8973/74, 6216/275

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 8973/74, 6216/275?

Answer: GCF of Numerators as per given numbers 8973/74, 6216/275 is

GCF of Numerators i.e. for 8973,6216 is 3

LCM of denominators i.e. for 74,275 is 20350.

Thus, GCF of Fractions is 3/20350.Finally, GCF of Fractions for 8973/74, 6216/275 is 3/20350.