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 960/91, 521/6435

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 960/91, 521/6435 i.e 1/45045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/91, 521/6435.

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 960/91,521/6435?

Given fractions are 960/91,521/6435

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 960/91,521/6435, numerators are 960,521

Denominators are 91,6435

The GCF of 960,521 is 1 .

LCM of 91,6435 is 45045.

The greatest common factor of 960/91,521/6435 = [GCF of 960,521]/[LCM of 91,6435]= 1/45045

Therefore, the GCF of 960/91,521/6435 is 1/45045.

Greatest Common Factor of 960,521

To find the highest common factor of 960,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

The factors of 521 are 1, 521

The HCF of 960,521 is 1.

Lets's calculate GCF of 960,521

Greatest Common Factor (GCF) of 960,521 By Common Division

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

Greatest Common Factor of 960,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,521 By Matching Biggest Common Factor Method

Now, list down the factors of 960

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 960,521 . The biggest common factor number is the GCF number.
So the greatest common factor 960,521 is 1.


Lets's calculate LCM of 91,6435

Lowest Common Multiple of 91,6435 using Common Division

13 91, 6435
7, 495

∴ So the LCM of the given numbers is 13 x 7 x 495 = 45045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45045

Therefore, the GCF of Fractions 960/91,521/6435 is 1/45045

Least Common Multiple of 91,6435 with GCF Formula

Least Common Multiple of 91,6435 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 91,6435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,6435) = 13

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

GCF(91,6435) x common factors =13 x 1 = 13

LCM(91,6435) = ( 91 × 6435 ) / 13

LCM(91,6435) = 585585 / 13

LCM(91,6435) = 45045


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 960/91, 521/6435

1. What is the HCF of 960,521?

The HCF of 960,521 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 960/91, 521/6435?

Answer: GCF of Numerators as per given numbers 960/91, 521/6435 is

GCF of Numerators i.e. for 960,521 is 1

LCM of denominators i.e. for 91,6435 is 45045.

Thus, GCF of Fractions is 1/45045.Finally, GCF of Fractions for 960/91, 521/6435 is 1/45045.