Greatest Common Factor of 4969/317, 3874/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4969/317, 3874/709

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 4969/317,3874/709

Given fractions are 4969/317,3874/709

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 4969,3874

Greatest Common Factor of Numerators i.e. GCF of 4969,3874 is 1 .

LCM of Denominators means LCM of 317,709 as per the given fractions.

LCM of 317,709 is 224753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4969,3874

GCF of Fractions 4969/317,3874/709 is 1/224753

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

Greatest Common Factor of 4969,3874 By Matching Biggest Common Factor Method

Greatest Common Factor of 4969,3874 By Matching Biggest Common Factor Method

Factors of 4969

List of positive integer factors of 4969 that divides 4969 without a remainder.

1,4969

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

Greatest Common Factor

We found the factors 4969,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 4969,3874 is 1.

Lets's calculate LCM of 317,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 224753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224753

Therefore, the GCF of Fractions 4969/317,3874/709 is 1/224753

Least Common Multiple of 317,709 with GCF Formula

Least Common Multiple of 317,709 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 317,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,709) = 1

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

GCF(317,709) x common factors =1 x 1 = 1

LCM(317,709) = ( 317 × 709 ) / 1

LCM(317,709) = 224753 / 1

LCM(317,709) = 224753


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 4969/317, 3874/709

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 4969/317, 3874/709?

Answer: GCF of Numerators as per given numbers 4969/317, 3874/709 is

GCF of Numerators i.e. for 4969,3874 is 1

LCM of denominators i.e. for 317,709 is 224753.

Thus, GCF of Fractions is 1/224753.Finally, GCF of Fractions for 4969/317, 3874/709 is 1/224753.