Greatest Common Factor of 3977/482, 1702/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3977/482, 1702/276

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 3977/482,1702/276

Given fractions are 3977/482,1702/276

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 3977,1702

Greatest Common Factor of Numerators i.e. GCF of 3977,1702 is 1 .

LCM of Denominators means LCM of 482,276 as per the given fractions.

LCM of 482,276 is 66516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3977,1702

GCF of Fractions 3977/482,1702/276 is 1/66516

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

Greatest Common Factor of 3977,1702 By Matching Biggest Common Factor Method

Greatest Common Factor of 3977,1702 By Matching Biggest Common Factor Method

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1,41,97,3977

Factors of 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1,2,23,37,46,74,851,1702

Greatest Common Factor

We found the factors 3977,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 3977,1702 is 1.

Lets's calculate LCM of 482,276

2 482, 276
241, 138

∴ So the LCM of the given numbers is 2 x 241 x 138 = 66516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66516

Therefore, the GCF of Fractions 3977/482,1702/276 is 1/66516

Least Common Multiple of 482,276 with GCF Formula

Least Common Multiple of 482,276 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 482,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,276) = 2

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

GCF(482,276) x common factors =2 x 1 = 2

LCM(482,276) = ( 482 × 276 ) / 2

LCM(482,276) = 133032 / 2

LCM(482,276) = 66516


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 3977/482, 1702/276

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 3977/482, 1702/276?

Answer: GCF of Numerators as per given numbers 3977/482, 1702/276 is

GCF of Numerators i.e. for 3977,1702 is 1

LCM of denominators i.e. for 482,276 is 66516.

Thus, GCF of Fractions is 1/66516.Finally, GCF of Fractions for 3977/482, 1702/276 is 1/66516.