Greatest Common Factor of 1512/94, 4635/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1512/94, 4635/105

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 1512/94,4635/105

Given fractions are 1512/94,4635/105

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 1512,4635

Greatest Common Factor of Numerators i.e. GCF of 1512,4635 is 9 .

LCM of Denominators means LCM of 94,105 as per the given fractions.

LCM of 94,105 is 9870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1512,4635

GCF of Fractions 1512/94,4635/105 is 9/9870

3 1512, 4635
3 504, 1545
168, 515

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1512,4635 By Matching Biggest Common Factor Method

Greatest Common Factor of 1512,4635 By Matching Biggest Common Factor Method

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1,3,5,9,15,45,103,309,515,927,1545,4635

Greatest Common Factor

We found the factors 1512,4635 . The biggest common factor number is the GCF number.
So the greatest common factor 1512,4635 is 9.

Lets's calculate LCM of 94,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 9870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9870

Therefore, the GCF of Fractions 1512/94,4635/105 is 9/9870

Least Common Multiple of 94,105 with GCF Formula

Least Common Multiple of 94,105 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 94,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,105) = 1

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

GCF(94,105) x common factors =1 x 1 = 1

LCM(94,105) = ( 94 × 105 ) / 1

LCM(94,105) = 9870 / 1

LCM(94,105) = 9870


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 1512/94, 4635/105

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 1512/94, 4635/105?

Answer: GCF of Numerators as per given numbers 1512/94, 4635/105 is

GCF of Numerators i.e. for 1512,4635 is 9

LCM of denominators i.e. for 94,105 is 9870.

Thus, GCF of Fractions is 9/9870.Finally, GCF of Fractions for 1512/94, 4635/105 is 9/9870.