Greatest Common Factor of 2802/434, 8507/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2802/434, 8507/355

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 2802/434,8507/355

Given fractions are 2802/434,8507/355

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 2802,8507

Greatest Common Factor of Numerators i.e. GCF of 2802,8507 is 1 .

LCM of Denominators means LCM of 434,355 as per the given fractions.

LCM of 434,355 is 154070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2802,8507

GCF of Fractions 2802/434,8507/355 is 1/154070

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

Greatest Common Factor of 2802,8507 By Matching Biggest Common Factor Method

Greatest Common Factor of 2802,8507 By Matching Biggest Common Factor Method

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1,2,3,6,467,934,1401,2802

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1,47,181,8507

Greatest Common Factor

We found the factors 2802,8507 . The biggest common factor number is the GCF number.
So the greatest common factor 2802,8507 is 1.

Lets's calculate LCM of 434,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 154070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154070

Therefore, the GCF of Fractions 2802/434,8507/355 is 1/154070

Least Common Multiple of 434,355 with GCF Formula

Least Common Multiple of 434,355 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 434,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,355) = 1

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

GCF(434,355) x common factors =1 x 1 = 1

LCM(434,355) = ( 434 × 355 ) / 1

LCM(434,355) = 154070 / 1

LCM(434,355) = 154070


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 2802/434, 8507/355

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 2802/434, 8507/355?

Answer: GCF of Numerators as per given numbers 2802/434, 8507/355 is

GCF of Numerators i.e. for 2802,8507 is 1

LCM of denominators i.e. for 434,355 is 154070.

Thus, GCF of Fractions is 1/154070.Finally, GCF of Fractions for 2802/434, 8507/355 is 1/154070.