Greatest Common Factor of 1435/99, 3136/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1435/99, 3136/312

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 1435/99,3136/312

Given fractions are 1435/99,3136/312

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 1435,3136

Greatest Common Factor of Numerators i.e. GCF of 1435,3136 is 7 .

LCM of Denominators means LCM of 99,312 as per the given fractions.

LCM of 99,312 is 10296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1435,3136

GCF of Fractions 1435/99,3136/312 is 7/10296

7 1435, 3136
205, 448

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1435,3136 By Matching Biggest Common Factor Method

Greatest Common Factor of 1435,3136 By Matching Biggest Common Factor Method

Factors of 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1,5,7,35,41,205,287,1435

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Greatest Common Factor

We found the factors 1435,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 1435,3136 is 7.

Lets's calculate LCM of 99,312

3 99, 312
33, 104

∴ So the LCM of the given numbers is 3 x 33 x 104 = 10296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10296

Therefore, the GCF of Fractions 1435/99,3136/312 is 7/10296

Least Common Multiple of 99,312 with GCF Formula

Least Common Multiple of 99,312 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 99,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,312) = 3

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

GCF(99,312) x common factors =3 x 1 = 3

LCM(99,312) = ( 99 × 312 ) / 3

LCM(99,312) = 30888 / 3

LCM(99,312) = 10296


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 1435/99, 3136/312

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 1435/99, 3136/312?

Answer: GCF of Numerators as per given numbers 1435/99, 3136/312 is

GCF of Numerators i.e. for 1435,3136 is 7

LCM of denominators i.e. for 99,312 is 10296.

Thus, GCF of Fractions is 7/10296.Finally, GCF of Fractions for 1435/99, 3136/312 is 7/10296.