Greatest Common Factor of 4748/77, 4373/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4748/77, 4373/171

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 4748/77,4373/171

Given fractions are 4748/77,4373/171

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 4748,4373

Greatest Common Factor of Numerators i.e. GCF of 4748,4373 is 1 .

LCM of Denominators means LCM of 77,171 as per the given fractions.

LCM of 77,171 is 13167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4748,4373

GCF of Fractions 4748/77,4373/171 is 1/13167

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

Greatest Common Factor of 4748,4373 By Matching Biggest Common Factor Method

Greatest Common Factor of 4748,4373 By Matching Biggest Common Factor Method

Factors of 4748

List of positive integer factors of 4748 that divides 4748 without a remainder.

1,2,4,1187,2374,4748

Factors of 4373

List of positive integer factors of 4373 that divides 4373 without a remainder.

1,4373

Greatest Common Factor

We found the factors 4748,4373 . The biggest common factor number is the GCF number.
So the greatest common factor 4748,4373 is 1.

Lets's calculate LCM of 77,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 13167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13167

Therefore, the GCF of Fractions 4748/77,4373/171 is 1/13167

Least Common Multiple of 77,171 with GCF Formula

Least Common Multiple of 77,171 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 77,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,171) = 1

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

GCF(77,171) x common factors =1 x 1 = 1

LCM(77,171) = ( 77 × 171 ) / 1

LCM(77,171) = 13167 / 1

LCM(77,171) = 13167


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 4748/77, 4373/171

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 4748/77, 4373/171?

Answer: GCF of Numerators as per given numbers 4748/77, 4373/171 is

GCF of Numerators i.e. for 4748,4373 is 1

LCM of denominators i.e. for 77,171 is 13167.

Thus, GCF of Fractions is 1/13167.Finally, GCF of Fractions for 4748/77, 4373/171 is 1/13167.