Greatest Common Factor of 4888/41, 1354/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4888/41, 1354/527

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 4888/41,1354/527

Given fractions are 4888/41,1354/527

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 4888,1354

Greatest Common Factor of Numerators i.e. GCF of 4888,1354 is 2 .

LCM of Denominators means LCM of 41,527 as per the given fractions.

LCM of 41,527 is 21607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4888,1354

GCF of Fractions 4888/41,1354/527 is 2/21607

2 4888, 1354
2444, 677

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4888,1354 By Matching Biggest Common Factor Method

Greatest Common Factor of 4888,1354 By Matching Biggest Common Factor Method

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Greatest Common Factor

We found the factors 4888,1354 . The biggest common factor number is the GCF number.
So the greatest common factor 4888,1354 is 2.

Lets's calculate LCM of 41,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 21607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21607

Therefore, the GCF of Fractions 4888/41,1354/527 is 2/21607

Least Common Multiple of 41,527 with GCF Formula

Least Common Multiple of 41,527 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 41,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,527) = 1

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

GCF(41,527) x common factors =1 x 1 = 1

LCM(41,527) = ( 41 × 527 ) / 1

LCM(41,527) = 21607 / 1

LCM(41,527) = 21607


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 4888/41, 1354/527

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 4888/41, 1354/527?

Answer: GCF of Numerators as per given numbers 4888/41, 1354/527 is

GCF of Numerators i.e. for 4888,1354 is 2

LCM of denominators i.e. for 41,527 is 21607.

Thus, GCF of Fractions is 2/21607.Finally, GCF of Fractions for 4888/41, 1354/527 is 2/21607.