LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9277/733, 7123/977

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 9277/733, 7123/977 i.e 1/716141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9277/733, 7123/977.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9277/733,7123/977?

Given fractions are 9277/733,7123/977

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 9277/733,7123/977, numerators are 9277,7123

Denominators are 733,977

The GCF of 9277,7123 is 1 .

LCM of 733,977 is 716141.

The greatest common factor of 9277/733,7123/977 = [GCF of 9277,7123]/[LCM of 733,977]= 1/716141

Therefore, the GCF of 9277/733,7123/977 is 1/716141.

Greatest Common Factor of 9277,7123

To find the highest common factor of 9277,7123, we have to find the factors of both numbers and list the highest common factor.

The factors of 9277 are 1, 9277

The factors of 7123 are 1, 17, 419, 7123

The HCF of 9277,7123 is 1.

Lets's calculate GCF of 9277,7123

Greatest Common Factor (GCF) of 9277,7123 By Common Division

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

Greatest Common Factor of 9277,7123 By Matching Biggest Common Factor Method

Greatest Common Factor of 9277,7123 By Matching Biggest Common Factor Method

Now, list down the factors of 9277

:

1,9277

Now, list down the factors of 7123

:

1,17,419,7123

Greatest Common Factor

We found the factors 9277,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 9277,7123 is 1.

Lets's calculate LCM of 733,977

Lowest Common Multiple of 733,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 716141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716141

Therefore, the GCF of Fractions 9277/733,7123/977 is 1/716141

Least Common Multiple of 733,977 with GCF Formula

Least Common Multiple of 733,977 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 733,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,977) = 1

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

GCF(733,977) x common factors =1 x 1 = 1

LCM(733,977) = ( 733 × 977 ) / 1

LCM(733,977) = 716141 / 1

LCM(733,977) = 716141


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9277/733, 7123/977

1. What is the HCF of 9277,7123?

The HCF of 9277,7123 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 9277/733, 7123/977?

Answer: GCF of Numerators as per given numbers 9277/733, 7123/977 is

GCF of Numerators i.e. for 9277,7123 is 1

LCM of denominators i.e. for 733,977 is 716141.

Thus, GCF of Fractions is 1/716141.Finally, GCF of Fractions for 9277/733, 7123/977 is 1/716141.