Greatest Common Factor of 8290/898, 2712/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8290/898, 2712/170

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 8290/898,2712/170

Given fractions are 8290/898,2712/170

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 8290,2712

Greatest Common Factor of Numerators i.e. GCF of 8290,2712 is 2 .

LCM of Denominators means LCM of 898,170 as per the given fractions.

LCM of 898,170 is 76330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8290,2712

GCF of Fractions 8290/898,2712/170 is 2/76330

2 8290, 2712
4145, 1356

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

Greatest Common Factor of 8290,2712 By Matching Biggest Common Factor Method

Greatest Common Factor of 8290,2712 By Matching Biggest Common Factor Method

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Greatest Common Factor

We found the factors 8290,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 8290,2712 is 2.

Lets's calculate LCM of 898,170

2 898, 170
449, 85

∴ So the LCM of the given numbers is 2 x 449 x 85 = 76330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76330

Therefore, the GCF of Fractions 8290/898,2712/170 is 2/76330

Least Common Multiple of 898,170 with GCF Formula

Least Common Multiple of 898,170 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 898,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,170) = 2

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

GCF(898,170) x common factors =2 x 1 = 2

LCM(898,170) = ( 898 × 170 ) / 2

LCM(898,170) = 152660 / 2

LCM(898,170) = 76330


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 8290/898, 2712/170

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 8290/898, 2712/170?

Answer: GCF of Numerators as per given numbers 8290/898, 2712/170 is

GCF of Numerators i.e. for 8290,2712 is 2

LCM of denominators i.e. for 898,170 is 76330.

Thus, GCF of Fractions is 2/76330.Finally, GCF of Fractions for 8290/898, 2712/170 is 2/76330.