Greatest Common Factor of 435/362, 1551/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/362, 1551/908

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 435/362,1551/908

Given fractions are 435/362,1551/908

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 435,1551

Greatest Common Factor of Numerators i.e. GCF of 435,1551 is 3 .

LCM of Denominators means LCM of 362,908 as per the given fractions.

LCM of 362,908 is 164348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,1551

GCF of Fractions 435/362,1551/908 is 3/164348

3 435, 1551
145, 517

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

Greatest Common Factor of 435,1551 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,1551 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 1551

List of positive integer factors of 1551 that divides 1551 without a remainder.

1,3,11,33,47,141,517,1551

Greatest Common Factor

We found the factors 435,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 435,1551 is 3.

Lets's calculate LCM of 362,908

2 362, 908
181, 454

∴ So the LCM of the given numbers is 2 x 181 x 454 = 164348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/164348

Therefore, the GCF of Fractions 435/362,1551/908 is 3/164348

Least Common Multiple of 362,908 with GCF Formula

Least Common Multiple of 362,908 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 362,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,908) = 2

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

GCF(362,908) x common factors =2 x 1 = 2

LCM(362,908) = ( 362 × 908 ) / 2

LCM(362,908) = 328696 / 2

LCM(362,908) = 164348


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 435/362, 1551/908

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 435/362, 1551/908?

Answer: GCF of Numerators as per given numbers 435/362, 1551/908 is

GCF of Numerators i.e. for 435,1551 is 3

LCM of denominators i.e. for 362,908 is 164348.

Thus, GCF of Fractions is 3/164348.Finally, GCF of Fractions for 435/362, 1551/908 is 3/164348.