Greatest Common Factor of 8832/558, 8280/7375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8832/558, 8280/7375

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 8832/558,8280/7375

Given fractions are 8832/558,8280/7375

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 8832,8280

Greatest Common Factor of Numerators i.e. GCF of 8832,8280 is 552 .

LCM of Denominators means LCM of 558,7375 as per the given fractions.

LCM of 558,7375 is 4115250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8832,8280

GCF of Fractions 8832/558,8280/7375 is 552/4115250

2 8832, 8280
2 4416, 4140
2 2208, 2070
3 1104, 1035
23 368, 345
16, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 23 = 552

Greatest Common Factor of 8832,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 8832,8280 By Matching Biggest Common Factor Method

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 8832,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 8832,8280 is 552.

Lets's calculate LCM of 558,7375

Given numbers has no common factors except 1. So, there LCM is their product i.e 4115250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 552/4115250

Therefore, the GCF of Fractions 8832/558,8280/7375 is 552/4115250

Least Common Multiple of 558,7375 with GCF Formula

Least Common Multiple of 558,7375 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 558,7375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,7375) = 1

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

GCF(558,7375) x common factors =1 x 1 = 1

LCM(558,7375) = ( 558 × 7375 ) / 1

LCM(558,7375) = 4115250 / 1

LCM(558,7375) = 4115250


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 8832/558, 8280/7375

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 8832/558, 8280/7375?

Answer: GCF of Numerators as per given numbers 8832/558, 8280/7375 is

GCF of Numerators i.e. for 8832,8280 is 552

LCM of denominators i.e. for 558,7375 is 4115250.

Thus, GCF of Fractions is 552/4115250.Finally, GCF of Fractions for 8832/558, 8280/7375 is 552/4115250.