Greatest Common Factor of 5128/90, 8470/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5128/90, 8470/610

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 5128/90,8470/610

Given fractions are 5128/90,8470/610

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 5128,8470

Greatest Common Factor of Numerators i.e. GCF of 5128,8470 is 2 .

LCM of Denominators means LCM of 90,610 as per the given fractions.

LCM of 90,610 is 5490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5128,8470

GCF of Fractions 5128/90,8470/610 is 2/5490

2 5128, 8470
2564, 4235

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

Greatest Common Factor of 5128,8470 By Matching Biggest Common Factor Method

Greatest Common Factor of 5128,8470 By Matching Biggest Common Factor Method

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470

Greatest Common Factor

We found the factors 5128,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 5128,8470 is 2.

Lets's calculate LCM of 90,610

2 90, 610
5 45, 305
9, 61

∴ So the LCM of the given numbers is 2 x 5 x 9 x 61 = 5490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5490

Therefore, the GCF of Fractions 5128/90,8470/610 is 2/5490

Least Common Multiple of 90,610 with GCF Formula

Least Common Multiple of 90,610 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 90,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,610) = 10

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

GCF(90,610) x common factors =10 x 1 = 10

LCM(90,610) = ( 90 × 610 ) / 10

LCM(90,610) = 54900 / 10

LCM(90,610) = 5490


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 5128/90, 8470/610

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 5128/90, 8470/610?

Answer: GCF of Numerators as per given numbers 5128/90, 8470/610 is

GCF of Numerators i.e. for 5128,8470 is 2

LCM of denominators i.e. for 90,610 is 5490.

Thus, GCF of Fractions is 2/5490.Finally, GCF of Fractions for 5128/90, 8470/610 is 2/5490.