Greatest Common Factor of 8504/174, 8212/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8504/174, 8212/682

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 8504/174,8212/682

Given fractions are 8504/174,8212/682

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 8504,8212

Greatest Common Factor of Numerators i.e. GCF of 8504,8212 is 4 .

LCM of Denominators means LCM of 174,682 as per the given fractions.

LCM of 174,682 is 59334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8504,8212

GCF of Fractions 8504/174,8212/682 is 4/59334

2 8504, 8212
2 4252, 4106
2126, 2053

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8504,8212 By Matching Biggest Common Factor Method

Greatest Common Factor of 8504,8212 By Matching Biggest Common Factor Method

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1,2,4,2053,4106,8212

Greatest Common Factor

We found the factors 8504,8212 . The biggest common factor number is the GCF number.
So the greatest common factor 8504,8212 is 4.

Lets's calculate LCM of 174,682

2 174, 682
87, 341

∴ So the LCM of the given numbers is 2 x 87 x 341 = 59334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59334

Therefore, the GCF of Fractions 8504/174,8212/682 is 4/59334

Least Common Multiple of 174,682 with GCF Formula

Least Common Multiple of 174,682 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 174,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,682) = 2

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

GCF(174,682) x common factors =2 x 1 = 2

LCM(174,682) = ( 174 × 682 ) / 2

LCM(174,682) = 118668 / 2

LCM(174,682) = 59334


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 8504/174, 8212/682

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 8504/174, 8212/682?

Answer: GCF of Numerators as per given numbers 8504/174, 8212/682 is

GCF of Numerators i.e. for 8504,8212 is 4

LCM of denominators i.e. for 174,682 is 59334.

Thus, GCF of Fractions is 4/59334.Finally, GCF of Fractions for 8504/174, 8212/682 is 4/59334.