How to Find GCF of 76/64, 619/98, 596/165?

GCF of 76/64, 619/98, 596/165

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 76/64, 619/98, 596/165 i.e 1/517440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/64, 619/98, 596/165.

Enter two or more fractions separated by "commas"

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

What is the GCF of 76/64,619/98,596/165?

Given fractions are 76/64,619/98,596/165

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 76/64,619/98,596/165, numerators are 76,619,596

Denominators are 64,98,165

The GCF of 76,619,596 is 1 .

LCM of 64,98,165 is 517440.

The greatest common factor of 76/64,619/98,596/165 = [GCF of 76,619,596]/[LCM of 64,98,165]= 1/517440

Therefore, the GCF of 76/64,619/98,596/165 is 1/517440.

Greatest Common Factor of 76,619,596

To find the highest common factor of 76,619,596, we have to find the factors of both numbers and list the highest common factor.

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 619 are 1, 619

The factors of 596 are 1, 2, 4, 149, 298, 596

The HCF of 76,619,596 is 1.

Lets's calculate GCF of 76,619,596

Greatest Common Factor (GCF) of 76,619,596 By Common Division

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

Greatest Common Factor of 76,619,596 By Matching Biggest Common Factor Method

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 619

1,619

Now, list down the factors of 596

1,2,4,149,298,596

Greatest Common Factor

We found the factors 76,619,596 . The biggest common factor number is the GCF number.
So the greatest common factor 76,619,596 is 1.

Lets's calculate LCM of 64,98,165

Lowest Common Multiple of 64,98,165 using Common Division

2	64, 98, 165
	32, 49, 165

∴ So the LCM of the given numbers is 2 x 32 x 49 x 165 = 517440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517440

Therefore, the GCF of Fractions 76/64,619/98,596/165 is 1/517440

Least Common Multiple of 64,98,165 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,98,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,98,165) = 1

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

GCF(64,98,165) x common factors =1 x 2 = 2

LCM(64,98,165) = ( 64 × 98 × 165 ) / 2

LCM(64,98,165) = 1034880 / 2

LCM(64,98,165) = 517440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 76/64, 619/98, 596/165

1. What is the HCF of 76,619,596?

The HCF of 76,619,596 is 1

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 76/64, 619/98, 596/165?

Answer: GCF of Numerators as per given numbers 76/64, 619/98, 596/165 is

GCF of Numerators i.e. for 76,619,596 is 1

LCM of denominators i.e. for 64,98,165 is 517440.

Thus, GCF of Fractions is 1/517440.Finally, GCF of Fractions for 76/64, 619/98, 596/165 is 1/517440.