Greatest Common Factor of 7174/974, 5303/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7174/974, 5303/668

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 7174/974,5303/668

Given fractions are 7174/974,5303/668

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 7174,5303

Greatest Common Factor of Numerators i.e. GCF of 7174,5303 is 1 .

LCM of Denominators means LCM of 974,668 as per the given fractions.

LCM of 974,668 is 325316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7174,5303

GCF of Fractions 7174/974,5303/668 is 1/325316

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

Greatest Common Factor of 7174,5303 By Matching Biggest Common Factor Method

Greatest Common Factor of 7174,5303 By Matching Biggest Common Factor Method

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

Factors of 5303

List of positive integer factors of 5303 that divides 5303 without a remainder.

1,5303

Greatest Common Factor

We found the factors 7174,5303 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,5303 is 1.

Lets's calculate LCM of 974,668

2 974, 668
487, 334

∴ So the LCM of the given numbers is 2 x 487 x 334 = 325316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325316

Therefore, the GCF of Fractions 7174/974,5303/668 is 1/325316

Least Common Multiple of 974,668 with GCF Formula

Least Common Multiple of 974,668 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 974,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,668) = 2

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

GCF(974,668) x common factors =2 x 1 = 2

LCM(974,668) = ( 974 × 668 ) / 2

LCM(974,668) = 650632 / 2

LCM(974,668) = 325316


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 7174/974, 5303/668

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 7174/974, 5303/668?

Answer: GCF of Numerators as per given numbers 7174/974, 5303/668 is

GCF of Numerators i.e. for 7174,5303 is 1

LCM of denominators i.e. for 974,668 is 325316.

Thus, GCF of Fractions is 1/325316.Finally, GCF of Fractions for 7174/974, 5303/668 is 1/325316.