Greatest Common Factor of 4601/749, 1638/7540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4601/749, 1638/7540

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 4601/749,1638/7540

Given fractions are 4601/749,1638/7540

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 4601,1638

Greatest Common Factor of Numerators i.e. GCF of 4601,1638 is 1 .

LCM of Denominators means LCM of 749,7540 as per the given fractions.

LCM of 749,7540 is 5647460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4601,1638

GCF of Fractions 4601/749,1638/7540 is 1/5647460

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

Greatest Common Factor of 4601,1638 By Matching Biggest Common Factor Method

Greatest Common Factor of 4601,1638 By Matching Biggest Common Factor Method

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1,43,107,4601

Factors of 1638

List of positive integer factors of 1638 that divides 1638 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638

Greatest Common Factor

We found the factors 4601,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 4601,1638 is 1.

Lets's calculate LCM of 749,7540

Given numbers has no common factors except 1. So, there LCM is their product i.e 5647460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5647460

Therefore, the GCF of Fractions 4601/749,1638/7540 is 1/5647460

Least Common Multiple of 749,7540 with GCF Formula

Least Common Multiple of 749,7540 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 749,7540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,7540) = 1

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

GCF(749,7540) x common factors =1 x 1 = 1

LCM(749,7540) = ( 749 × 7540 ) / 1

LCM(749,7540) = 5647460 / 1

LCM(749,7540) = 5647460


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 4601/749, 1638/7540

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 4601/749, 1638/7540?

Answer: GCF of Numerators as per given numbers 4601/749, 1638/7540 is

GCF of Numerators i.e. for 4601,1638 is 1

LCM of denominators i.e. for 749,7540 is 5647460.

Thus, GCF of Fractions is 1/5647460.Finally, GCF of Fractions for 4601/749, 1638/7540 is 1/5647460.