LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 654/663, 166/478

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 654/663, 166/478 i.e 2/316914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/663, 166/478.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 654/663,166/478?

Given fractions are 654/663,166/478

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 654/663,166/478, numerators are 654,166

Denominators are 663,478

The GCF of 654,166 is 2 .

LCM of 663,478 is 316914.

The greatest common factor of 654/663,166/478 = [GCF of 654,166]/[LCM of 663,478]= 2/316914

Therefore, the GCF of 654/663,166/478 is 2/316914.

Greatest Common Factor of 654,166

To find the highest common factor of 654,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654

The factors of 166 are 1, 2, 83, 166

The HCF of 654,166 is 2.

Lets's calculate GCF of 654,166

Greatest Common Factor (GCF) of 654,166 By Common Division

2 654, 166
327, 83

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

Greatest Common Factor of 654,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,166 By Matching Biggest Common Factor Method

Now, list down the factors of 654

:

1,2,3,6,109,218,327,654

Now, list down the factors of 166

:

1,2,83,166

Greatest Common Factor

We found the factors 654,166 . The biggest common factor number is the GCF number.
So the greatest common factor 654,166 is 2.

Lets's calculate LCM of 663,478

Lowest Common Multiple of 663,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 316914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/316914

Therefore, the GCF of Fractions 654/663,166/478 is 2/316914

Least Common Multiple of 663,478 with GCF Formula

Least Common Multiple of 663,478 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 663,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,478) = 1

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

GCF(663,478) x common factors =1 x 1 = 1

LCM(663,478) = ( 663 × 478 ) / 1

LCM(663,478) = 316914 / 1

LCM(663,478) = 316914


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 654/663, 166/478

1. What is the HCF of 654,166?

The HCF of 654,166 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 654/663, 166/478?

Answer: GCF of Numerators as per given numbers 654/663, 166/478 is

GCF of Numerators i.e. for 654,166 is 2

LCM of denominators i.e. for 663,478 is 316914.

Thus, GCF of Fractions is 2/316914.Finally, GCF of Fractions for 654/663, 166/478 is 2/316914.