Greatest Common Factor of 536/468, 1675/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/468, 1675/166

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 536/468,1675/166

Given fractions are 536/468,1675/166

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 536,1675

Greatest Common Factor of Numerators i.e. GCF of 536,1675 is 67 .

LCM of Denominators means LCM of 468,166 as per the given fractions.

LCM of 468,166 is 38844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,1675

GCF of Fractions 536/468,1675/166 is 67/38844

67 536, 1675
8, 25

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 536,1675 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,1675 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1,5,25,67,335,1675

Greatest Common Factor

We found the factors 536,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 536,1675 is 67.

Lets's calculate LCM of 468,166

2 468, 166
234, 83

∴ So the LCM of the given numbers is 2 x 234 x 83 = 38844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/38844

Therefore, the GCF of Fractions 536/468,1675/166 is 67/38844

Least Common Multiple of 468,166 with GCF Formula

Least Common Multiple of 468,166 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 468,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,166) = 2

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

GCF(468,166) x common factors =2 x 1 = 2

LCM(468,166) = ( 468 × 166 ) / 2

LCM(468,166) = 77688 / 2

LCM(468,166) = 38844


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 536/468, 1675/166

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 536/468, 1675/166?

Answer: GCF of Numerators as per given numbers 536/468, 1675/166 is

GCF of Numerators i.e. for 536,1675 is 67

LCM of denominators i.e. for 468,166 is 38844.

Thus, GCF of Fractions is 67/38844.Finally, GCF of Fractions for 536/468, 1675/166 is 67/38844.