Greatest Common Factor of 9722/304, 5834/5170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9722/304, 5834/5170

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 9722/304,5834/5170

Given fractions are 9722/304,5834/5170

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 9722,5834

Greatest Common Factor of Numerators i.e. GCF of 9722,5834 is 2 .

LCM of Denominators means LCM of 304,5170 as per the given fractions.

LCM of 304,5170 is 785840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9722,5834

GCF of Fractions 9722/304,5834/5170 is 2/785840

2 9722, 5834
4861, 2917

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9722,5834 By Matching Biggest Common Factor Method

Greatest Common Factor of 9722,5834 By Matching Biggest Common Factor Method

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1,2,4861,9722

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1,2,2917,5834

Greatest Common Factor

We found the factors 9722,5834 . The biggest common factor number is the GCF number.
So the greatest common factor 9722,5834 is 2.

Lets's calculate LCM of 304,5170

2 304, 5170
152, 2585

∴ So the LCM of the given numbers is 2 x 152 x 2585 = 785840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/785840

Therefore, the GCF of Fractions 9722/304,5834/5170 is 2/785840

Least Common Multiple of 304,5170 with GCF Formula

Least Common Multiple of 304,5170 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 304,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,5170) = 2

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

GCF(304,5170) x common factors =2 x 1 = 2

LCM(304,5170) = ( 304 × 5170 ) / 2

LCM(304,5170) = 1571680 / 2

LCM(304,5170) = 785840


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 9722/304, 5834/5170

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 9722/304, 5834/5170?

Answer: GCF of Numerators as per given numbers 9722/304, 5834/5170 is

GCF of Numerators i.e. for 9722,5834 is 2

LCM of denominators i.e. for 304,5170 is 785840.

Thus, GCF of Fractions is 2/785840.Finally, GCF of Fractions for 9722/304, 5834/5170 is 2/785840.