How to Find GCF of 1977/237, 7507/6754?

GCF of 1977/237, 7507/6754

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 1977/237, 7507/6754 i.e 1/1600698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1977/237, 7507/6754.

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 1977/237,7507/6754?

Given fractions are 1977/237,7507/6754

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 1977/237,7507/6754, numerators are 1977,7507

Denominators are 237,6754

The GCF of 1977,7507 is 1 .

LCM of 237,6754 is 1600698.

The greatest common factor of 1977/237,7507/6754 = [GCF of 1977,7507]/[LCM of 237,6754]= 1/1600698

Therefore, the GCF of 1977/237,7507/6754 is 1/1600698.

Greatest Common Factor of 1977,7507

To find the highest common factor of 1977,7507, we have to find the factors of both numbers and list the highest common factor.

The factors of 1977 are 1, 3, 659, 1977

The factors of 7507 are 1, 7507

The HCF of 1977,7507 is 1.

Lets's calculate GCF of 1977,7507

Greatest Common Factor (GCF) of 1977,7507 By Common Division

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

Greatest Common Factor of 1977,7507 By Matching Biggest Common Factor Method

Now, list down the factors of 1977

1,3,659,1977

Now, list down the factors of 7507

1,7507

Greatest Common Factor

We found the factors 1977,7507 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,7507 is 1.

Lets's calculate LCM of 237,6754

Lowest Common Multiple of 237,6754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1600698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1600698

Therefore, the GCF of Fractions 1977/237,7507/6754 is 1/1600698

Least Common Multiple of 237,6754 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 237,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,6754) = 1

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

GCF(237,6754) x common factors =1 x 1 = 1

LCM(237,6754) = ( 237 × 6754 ) / 1

LCM(237,6754) = 1600698 / 1

LCM(237,6754) = 1600698

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1977/237, 7507/6754

1. What is the HCF of 1977,7507?

The HCF of 1977,7507 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 1977/237, 7507/6754?

Answer: GCF of Numerators as per given numbers 1977/237, 7507/6754 is

GCF of Numerators i.e. for 1977,7507 is 1

LCM of denominators i.e. for 237,6754 is 1600698.

Thus, GCF of Fractions is 1/1600698.Finally, GCF of Fractions for 1977/237, 7507/6754 is 1/1600698.