How to Find GCF of 6911/596, 1027/996?

GCF of 6911/596, 1027/996

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 6911/596, 1027/996 i.e 1/148404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6911/596, 1027/996.

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 6911/596,1027/996?

Given fractions are 6911/596,1027/996

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 6911/596,1027/996, numerators are 6911,1027

Denominators are 596,996

The GCF of 6911,1027 is 1 .

LCM of 596,996 is 148404.

The greatest common factor of 6911/596,1027/996 = [GCF of 6911,1027]/[LCM of 596,996]= 1/148404

Therefore, the GCF of 6911/596,1027/996 is 1/148404.

Greatest Common Factor of 6911,1027

To find the highest common factor of 6911,1027, we have to find the factors of both numbers and list the highest common factor.

The factors of 6911 are 1, 6911

The factors of 1027 are 1, 13, 79, 1027

The HCF of 6911,1027 is 1.

Lets's calculate GCF of 6911,1027

Greatest Common Factor (GCF) of 6911,1027 By Common Division

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

Greatest Common Factor of 6911,1027 By Matching Biggest Common Factor Method

Now, list down the factors of 6911

1,6911

Now, list down the factors of 1027

1,13,79,1027

Greatest Common Factor

We found the factors 6911,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 6911,1027 is 1.

Lets's calculate LCM of 596,996

Lowest Common Multiple of 596,996 using Common Division

2	596, 996
2	298, 498
	149, 249

∴ So the LCM of the given numbers is 2 x 2 x 149 x 249 = 148404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148404

Therefore, the GCF of Fractions 6911/596,1027/996 is 1/148404

Least Common Multiple of 596,996 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 596,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,996) = 4

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

GCF(596,996) x common factors =4 x 1 = 4

LCM(596,996) = ( 596 × 996 ) / 4

LCM(596,996) = 593616 / 4

LCM(596,996) = 148404

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6911/596, 1027/996

1. What is the HCF of 6911,1027?

The HCF of 6911,1027 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 6911/596, 1027/996?

Answer: GCF of Numerators as per given numbers 6911/596, 1027/996 is

GCF of Numerators i.e. for 6911,1027 is 1

LCM of denominators i.e. for 596,996 is 148404.

Thus, GCF of Fractions is 1/148404.Finally, GCF of Fractions for 6911/596, 1027/996 is 1/148404.