Greatest Common Factor of 9508/50, 2609/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9508/50, 2609/170

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 9508/50,2609/170

Given fractions are 9508/50,2609/170

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 9508,2609

Greatest Common Factor of Numerators i.e. GCF of 9508,2609 is 1 .

LCM of Denominators means LCM of 50,170 as per the given fractions.

LCM of 50,170 is 850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9508,2609

GCF of Fractions 9508/50,2609/170 is 1/850

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

Greatest Common Factor of 9508,2609 By Matching Biggest Common Factor Method

Greatest Common Factor of 9508,2609 By Matching Biggest Common Factor Method

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1,2609

Greatest Common Factor

We found the factors 9508,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 9508,2609 is 1.

Lets's calculate LCM of 50,170

2 50, 170
5 25, 85
5, 17

∴ So the LCM of the given numbers is 2 x 5 x 5 x 17 = 850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850

Therefore, the GCF of Fractions 9508/50,2609/170 is 1/850

Least Common Multiple of 50,170 with GCF Formula

Least Common Multiple of 50,170 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 50,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,170) = 10

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

GCF(50,170) x common factors =10 x 1 = 10

LCM(50,170) = ( 50 × 170 ) / 10

LCM(50,170) = 8500 / 10

LCM(50,170) = 850


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 9508/50, 2609/170

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 9508/50, 2609/170?

Answer: GCF of Numerators as per given numbers 9508/50, 2609/170 is

GCF of Numerators i.e. for 9508,2609 is 1

LCM of denominators i.e. for 50,170 is 850.

Thus, GCF of Fractions is 1/850.Finally, GCF of Fractions for 9508/50, 2609/170 is 1/850.