Greatest Common Factor of 3150/180, 9020/8152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3150/180, 9020/8152

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 3150/180,9020/8152

Given fractions are 3150/180,9020/8152

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 3150,9020

Greatest Common Factor of Numerators i.e. GCF of 3150,9020 is 10 .

LCM of Denominators means LCM of 180,8152 as per the given fractions.

LCM of 180,8152 is 366840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3150,9020

GCF of Fractions 3150/180,9020/8152 is 10/366840

2 3150, 9020
5 1575, 4510
315, 902

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3150,9020 By Matching Biggest Common Factor Method

Greatest Common Factor of 3150,9020 By Matching Biggest Common Factor Method

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150

Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020

Greatest Common Factor

We found the factors 3150,9020 . The biggest common factor number is the GCF number.
So the greatest common factor 3150,9020 is 10.

Lets's calculate LCM of 180,8152

2 180, 8152
2 90, 4076
45, 2038

∴ So the LCM of the given numbers is 2 x 2 x 45 x 2038 = 366840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/366840

Therefore, the GCF of Fractions 3150/180,9020/8152 is 10/366840

Least Common Multiple of 180,8152 with GCF Formula

Least Common Multiple of 180,8152 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 180,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,8152) = 4

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

GCF(180,8152) x common factors =4 x 1 = 4

LCM(180,8152) = ( 180 × 8152 ) / 4

LCM(180,8152) = 1467360 / 4

LCM(180,8152) = 366840


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 3150/180, 9020/8152

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 3150/180, 9020/8152?

Answer: GCF of Numerators as per given numbers 3150/180, 9020/8152 is

GCF of Numerators i.e. for 3150,9020 is 10

LCM of denominators i.e. for 180,8152 is 366840.

Thus, GCF of Fractions is 10/366840.Finally, GCF of Fractions for 3150/180, 9020/8152 is 10/366840.