Greatest Common Factor of 1582/634, 3630/1523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1582/634, 3630/1523

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 1582/634,3630/1523

Given fractions are 1582/634,3630/1523

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 1582,3630

Greatest Common Factor of Numerators i.e. GCF of 1582,3630 is 2 .

LCM of Denominators means LCM of 634,1523 as per the given fractions.

LCM of 634,1523 is 965582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1582,3630

GCF of Fractions 1582/634,3630/1523 is 2/965582

2 1582, 3630
791, 1815

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

Greatest Common Factor of 1582,3630 By Matching Biggest Common Factor Method

Greatest Common Factor of 1582,3630 By Matching Biggest Common Factor Method

Factors of 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1,2,7,14,113,226,791,1582

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630

Greatest Common Factor

We found the factors 1582,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 1582,3630 is 2.

Lets's calculate LCM of 634,1523

Given numbers has no common factors except 1. So, there LCM is their product i.e 965582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/965582

Therefore, the GCF of Fractions 1582/634,3630/1523 is 2/965582

Least Common Multiple of 634,1523 with GCF Formula

Least Common Multiple of 634,1523 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 634,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,1523) = 1

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

GCF(634,1523) x common factors =1 x 1 = 1

LCM(634,1523) = ( 634 × 1523 ) / 1

LCM(634,1523) = 965582 / 1

LCM(634,1523) = 965582


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 1582/634, 3630/1523

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 1582/634, 3630/1523?

Answer: GCF of Numerators as per given numbers 1582/634, 3630/1523 is

GCF of Numerators i.e. for 1582,3630 is 2

LCM of denominators i.e. for 634,1523 is 965582.

Thus, GCF of Fractions is 2/965582.Finally, GCF of Fractions for 1582/634, 3630/1523 is 2/965582.