Greatest Common Factor of 39/78, 166/67, 466/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/78, 166/67, 466/574

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 39/78,166/67,466/574

Given fractions are 39/78,166/67,466/574

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 39,166,466

Greatest Common Factor of Numerators i.e. GCF of 39,166,466 is 1 .

LCM of Denominators means LCM of 78,67,574 as per the given fractions.

LCM of 78,67,574 is 1499862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,166,466

GCF of Fractions 39/78,166/67,466/574 is 1/1499862

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 39,166,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,166,466 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 39,166,466 . The biggest common factor number is the GCF number.
So the greatest common factor 39,166,466 is 1.

Lets's calculate LCM of 78,67,574

2 78, 67, 574
39, 67, 287

∴ So the LCM of the given numbers is 2 x 39 x 67 x 287 = 1499862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499862

Therefore, the GCF of Fractions 39/78,166/67,466/574 is 1/1499862

Least Common Multiple of 78,67,574 with GCF Formula

Least Common Multiple of 78,67,574 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 78,67,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,67,574) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,67,574) x common factors =1 x 2 = 2

LCM(78,67,574) = ( 78 × 67 × 574 ) / 2

LCM(78,67,574) = 2999724 / 2

LCM(78,67,574) = 1499862


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 39/78, 166/67, 466/574

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 39/78, 166/67, 466/574?

Answer: GCF of Numerators as per given numbers 39/78, 166/67, 466/574 is

GCF of Numerators i.e. for 39,166,466 is 1

LCM of denominators i.e. for 78,67,574 is 1499862.

Thus, GCF of Fractions is 1/1499862.Finally, GCF of Fractions for 39/78, 166/67, 466/574 is 1/1499862.