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 7351/932, 9148/677

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 7351/932, 9148/677 i.e 1/630964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7351/932, 9148/677.

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 7351/932,9148/677?

Given fractions are 7351/932,9148/677

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 7351/932,9148/677, numerators are 7351,9148

Denominators are 932,677

The GCF of 7351,9148 is 1 .

LCM of 932,677 is 630964.

The greatest common factor of 7351/932,9148/677 = [GCF of 7351,9148]/[LCM of 932,677]= 1/630964

Therefore, the GCF of 7351/932,9148/677 is 1/630964.

Greatest Common Factor of 7351,9148

To find the highest common factor of 7351,9148, we have to find the factors of both numbers and list the highest common factor.

The factors of 7351 are 1, 7351

The factors of 9148 are 1, 2, 4, 2287, 4574, 9148

The HCF of 7351,9148 is 1.

Lets's calculate GCF of 7351,9148

Greatest Common Factor (GCF) of 7351,9148 By Common Division

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

Greatest Common Factor of 7351,9148 By Matching Biggest Common Factor Method

Greatest Common Factor of 7351,9148 By Matching Biggest Common Factor Method

Now, list down the factors of 7351

:

1,7351

Now, list down the factors of 9148

:

1,2,4,2287,4574,9148

Greatest Common Factor

We found the factors 7351,9148 . The biggest common factor number is the GCF number.
So the greatest common factor 7351,9148 is 1.

Lets's calculate LCM of 932,677

Lowest Common Multiple of 932,677 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 630964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630964

Therefore, the GCF of Fractions 7351/932,9148/677 is 1/630964

Least Common Multiple of 932,677 with GCF Formula

Least Common Multiple of 932,677 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 932,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,677) = 1

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

GCF(932,677) x common factors =1 x 1 = 1

LCM(932,677) = ( 932 × 677 ) / 1

LCM(932,677) = 630964 / 1

LCM(932,677) = 630964


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7351/932, 9148/677

1. What is the HCF of 7351,9148?

The HCF of 7351,9148 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 7351/932, 9148/677?

Answer: GCF of Numerators as per given numbers 7351/932, 9148/677 is

GCF of Numerators i.e. for 7351,9148 is 1

LCM of denominators i.e. for 932,677 is 630964.

Thus, GCF of Fractions is 1/630964.Finally, GCF of Fractions for 7351/932, 9148/677 is 1/630964.