Greatest Common Factor of 1977/914, 2417/9984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1977/914, 2417/9984

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 1977/914,2417/9984

Given fractions are 1977/914,2417/9984

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 1977,2417

Greatest Common Factor of Numerators i.e. GCF of 1977,2417 is 1 .

LCM of Denominators means LCM of 914,9984 as per the given fractions.

LCM of 914,9984 is 4562688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1977,2417

GCF of Fractions 1977/914,2417/9984 is 1/4562688

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

Greatest Common Factor of 1977,2417 By Matching Biggest Common Factor Method

Greatest Common Factor of 1977,2417 By Matching Biggest Common Factor Method

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Factors of 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

1,2417

Greatest Common Factor

We found the factors 1977,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,2417 is 1.

Lets's calculate LCM of 914,9984

2 914, 9984
457, 4992

∴ So the LCM of the given numbers is 2 x 457 x 4992 = 4562688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4562688

Therefore, the GCF of Fractions 1977/914,2417/9984 is 1/4562688

Least Common Multiple of 914,9984 with GCF Formula

Least Common Multiple of 914,9984 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 914,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,9984) = 2

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

GCF(914,9984) x common factors =2 x 1 = 2

LCM(914,9984) = ( 914 × 9984 ) / 2

LCM(914,9984) = 9125376 / 2

LCM(914,9984) = 4562688


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 1977/914, 2417/9984

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 1977/914, 2417/9984?

Answer: GCF of Numerators as per given numbers 1977/914, 2417/9984 is

GCF of Numerators i.e. for 1977,2417 is 1

LCM of denominators i.e. for 914,9984 is 4562688.

Thus, GCF of Fractions is 1/4562688.Finally, GCF of Fractions for 1977/914, 2417/9984 is 1/4562688.