Greatest Common Factor of 9650/188, 7350/8846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9650/188, 7350/8846

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 9650/188,7350/8846

Given fractions are 9650/188,7350/8846

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 9650,7350

Greatest Common Factor of Numerators i.e. GCF of 9650,7350 is 50 .

LCM of Denominators means LCM of 188,8846 as per the given fractions.

LCM of 188,8846 is 831524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9650,7350

GCF of Fractions 9650/188,7350/8846 is 50/831524

2 9650, 7350
5 4825, 3675
5 965, 735
193, 147

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 9650,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 9650,7350 By Matching Biggest Common Factor Method

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1,2,5,10,25,50,193,386,965,1930,4825,9650

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 9650,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 9650,7350 is 50.

Lets's calculate LCM of 188,8846

2 188, 8846
94, 4423

∴ So the LCM of the given numbers is 2 x 94 x 4423 = 831524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/831524

Therefore, the GCF of Fractions 9650/188,7350/8846 is 50/831524

Least Common Multiple of 188,8846 with GCF Formula

Least Common Multiple of 188,8846 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 188,8846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,8846) = 2

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

GCF(188,8846) x common factors =2 x 1 = 2

LCM(188,8846) = ( 188 × 8846 ) / 2

LCM(188,8846) = 1663048 / 2

LCM(188,8846) = 831524


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 9650/188, 7350/8846

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 9650/188, 7350/8846?

Answer: GCF of Numerators as per given numbers 9650/188, 7350/8846 is

GCF of Numerators i.e. for 9650,7350 is 50

LCM of denominators i.e. for 188,8846 is 831524.

Thus, GCF of Fractions is 50/831524.Finally, GCF of Fractions for 9650/188, 7350/8846 is 50/831524.