Greatest Common Factor of 4872/65, 8987/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4872/65, 8987/977

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 4872/65,8987/977

Given fractions are 4872/65,8987/977

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 4872,8987

Greatest Common Factor of Numerators i.e. GCF of 4872,8987 is 1 .

LCM of Denominators means LCM of 65,977 as per the given fractions.

LCM of 65,977 is 63505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4872,8987

GCF of Fractions 4872/65,8987/977 is 1/63505

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

Greatest Common Factor of 4872,8987 By Matching Biggest Common Factor Method

Greatest Common Factor of 4872,8987 By Matching Biggest Common Factor Method

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1,11,19,43,209,473,817,8987

Greatest Common Factor

We found the factors 4872,8987 . The biggest common factor number is the GCF number.
So the greatest common factor 4872,8987 is 1.

Lets's calculate LCM of 65,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 63505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63505

Therefore, the GCF of Fractions 4872/65,8987/977 is 1/63505

Least Common Multiple of 65,977 with GCF Formula

Least Common Multiple of 65,977 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 65,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,977) = 1

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

GCF(65,977) x common factors =1 x 1 = 1

LCM(65,977) = ( 65 × 977 ) / 1

LCM(65,977) = 63505 / 1

LCM(65,977) = 63505


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 4872/65, 8987/977

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 4872/65, 8987/977?

Answer: GCF of Numerators as per given numbers 4872/65, 8987/977 is

GCF of Numerators i.e. for 4872,8987 is 1

LCM of denominators i.e. for 65,977 is 63505.

Thus, GCF of Fractions is 1/63505.Finally, GCF of Fractions for 4872/65, 8987/977 is 1/63505.