Greatest Common Factor of 8495/578, 8140/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8495/578, 8140/584

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 8495/578,8140/584

Given fractions are 8495/578,8140/584

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 8495,8140

Greatest Common Factor of Numerators i.e. GCF of 8495,8140 is 5 .

LCM of Denominators means LCM of 578,584 as per the given fractions.

LCM of 578,584 is 168776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8495,8140

GCF of Fractions 8495/578,8140/584 is 5/168776

5 8495, 8140
1699, 1628

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8495,8140 By Matching Biggest Common Factor Method

Greatest Common Factor of 8495,8140 By Matching Biggest Common Factor Method

Factors of 8495

List of positive integer factors of 8495 that divides 8495 without a remainder.

1,5,1699,8495

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Greatest Common Factor

We found the factors 8495,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 8495,8140 is 5.

Lets's calculate LCM of 578,584

2 578, 584
289, 292

∴ So the LCM of the given numbers is 2 x 289 x 292 = 168776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/168776

Therefore, the GCF of Fractions 8495/578,8140/584 is 5/168776

Least Common Multiple of 578,584 with GCF Formula

Least Common Multiple of 578,584 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 578,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,584) = 2

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

GCF(578,584) x common factors =2 x 1 = 2

LCM(578,584) = ( 578 × 584 ) / 2

LCM(578,584) = 337552 / 2

LCM(578,584) = 168776


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 8495/578, 8140/584

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 8495/578, 8140/584?

Answer: GCF of Numerators as per given numbers 8495/578, 8140/584 is

GCF of Numerators i.e. for 8495,8140 is 5

LCM of denominators i.e. for 578,584 is 168776.

Thus, GCF of Fractions is 5/168776.Finally, GCF of Fractions for 8495/578, 8140/584 is 5/168776.