How to Find GCF of 4997/869, 2867/6977?

GCF of 4997/869, 2867/6977

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 4997/869, 2867/6977 i.e 1/6063013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4997/869, 2867/6977.

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 4997/869,2867/6977?

Given fractions are 4997/869,2867/6977

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 4997/869,2867/6977, numerators are 4997,2867

Denominators are 869,6977

The GCF of 4997,2867 is 1 .

LCM of 869,6977 is 6063013.

The greatest common factor of 4997/869,2867/6977 = [GCF of 4997,2867]/[LCM of 869,6977]= 1/6063013

Therefore, the GCF of 4997/869,2867/6977 is 1/6063013.

Greatest Common Factor of 4997,2867

To find the highest common factor of 4997,2867, we have to find the factors of both numbers and list the highest common factor.

The factors of 4997 are 1, 19, 263, 4997

The factors of 2867 are 1, 47, 61, 2867

The HCF of 4997,2867 is 1.

Lets's calculate GCF of 4997,2867

Greatest Common Factor (GCF) of 4997,2867 By Common Division

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

Greatest Common Factor of 4997,2867 By Matching Biggest Common Factor Method

Now, list down the factors of 4997

1,19,263,4997

Now, list down the factors of 2867

1,47,61,2867

Greatest Common Factor

We found the factors 4997,2867 . The biggest common factor number is the GCF number.
So the greatest common factor 4997,2867 is 1.

Lets's calculate LCM of 869,6977

Lowest Common Multiple of 869,6977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6063013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6063013

Therefore, the GCF of Fractions 4997/869,2867/6977 is 1/6063013

Least Common Multiple of 869,6977 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 869,6977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,6977) = 1

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

GCF(869,6977) x common factors =1 x 1 = 1

LCM(869,6977) = ( 869 × 6977 ) / 1

LCM(869,6977) = 6063013 / 1

LCM(869,6977) = 6063013

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4997/869, 2867/6977

1. What is the HCF of 4997,2867?

The HCF of 4997,2867 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 4997/869, 2867/6977?

Answer: GCF of Numerators as per given numbers 4997/869, 2867/6977 is

GCF of Numerators i.e. for 4997,2867 is 1

LCM of denominators i.e. for 869,6977 is 6063013.

Thus, GCF of Fractions is 1/6063013.Finally, GCF of Fractions for 4997/869, 2867/6977 is 1/6063013.