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 728/854, 325/921

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 728/854, 325/921 i.e 13/786534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/854, 325/921.

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 728/854,325/921?

Given fractions are 728/854,325/921

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 728/854,325/921, numerators are 728,325

Denominators are 854,921

The GCF of 728,325 is 13 .

LCM of 854,921 is 786534.

The greatest common factor of 728/854,325/921 = [GCF of 728,325]/[LCM of 854,921]= 13/786534

Therefore, the GCF of 728/854,325/921 is 13/786534.

Greatest Common Factor of 728,325

To find the highest common factor of 728,325, we have to find the factors of both numbers and list the highest common factor.

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The factors of 325 are 1, 5, 13, 25, 65, 325

The HCF of 728,325 is 13.

Lets's calculate GCF of 728,325

Greatest Common Factor (GCF) of 728,325 By Common Division

13 728, 325
56, 25

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 728,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,325 By Matching Biggest Common Factor Method

Now, list down the factors of 728

:

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Now, list down the factors of 325

:

1,5,13,25,65,325

Greatest Common Factor

We found the factors 728,325 . The biggest common factor number is the GCF number.
So the greatest common factor 728,325 is 13.

Lets's calculate LCM of 854,921

Lowest Common Multiple of 854,921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 786534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/786534

Therefore, the GCF of Fractions 728/854,325/921 is 13/786534

Least Common Multiple of 854,921 with GCF Formula

Least Common Multiple of 854,921 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 854,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,921) = 1

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

GCF(854,921) x common factors =1 x 1 = 1

LCM(854,921) = ( 854 × 921 ) / 1

LCM(854,921) = 786534 / 1

LCM(854,921) = 786534


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 728/854, 325/921

1. What is the HCF of 728,325?

The HCF of 728,325 is 13

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 728/854, 325/921?

Answer: GCF of Numerators as per given numbers 728/854, 325/921 is

GCF of Numerators i.e. for 728,325 is 13

LCM of denominators i.e. for 854,921 is 786534.

Thus, GCF of Fractions is 13/786534.Finally, GCF of Fractions for 728/854, 325/921 is 13/786534.