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 852/92, 967/916

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 852/92, 967/916 i.e 1/21068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 852/92, 967/916.

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 852/92,967/916?

Given fractions are 852/92,967/916

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 852/92,967/916, numerators are 852,967

Denominators are 92,916

The GCF of 852,967 is 1 .

LCM of 92,916 is 21068.

The greatest common factor of 852/92,967/916 = [GCF of 852,967]/[LCM of 92,916]= 1/21068

Therefore, the GCF of 852/92,967/916 is 1/21068.

Greatest Common Factor of 852,967

To find the highest common factor of 852,967, we have to find the factors of both numbers and list the highest common factor.

The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

The factors of 967 are 1, 967

The HCF of 852,967 is 1.

Lets's calculate GCF of 852,967

Greatest Common Factor (GCF) of 852,967 By Common Division

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

Greatest Common Factor of 852,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,967 By Matching Biggest Common Factor Method

Now, list down the factors of 852

:

1,2,3,4,6,12,71,142,213,284,426,852

Now, list down the factors of 967

:

1,967

Greatest Common Factor

We found the factors 852,967 . The biggest common factor number is the GCF number.
So the greatest common factor 852,967 is 1.

Lets's calculate LCM of 92,916

Lowest Common Multiple of 92,916 using Common Division

2 92, 916
2 46, 458
23, 229

∴ So the LCM of the given numbers is 2 x 2 x 23 x 229 = 21068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21068

Therefore, the GCF of Fractions 852/92,967/916 is 1/21068

Least Common Multiple of 92,916 with GCF Formula

Least Common Multiple of 92,916 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 92,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,916) = 4

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

GCF(92,916) x common factors =4 x 1 = 4

LCM(92,916) = ( 92 × 916 ) / 4

LCM(92,916) = 84272 / 4

LCM(92,916) = 21068


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 852/92, 967/916

1. What is the HCF of 852,967?

The HCF of 852,967 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 852/92, 967/916?

Answer: GCF of Numerators as per given numbers 852/92, 967/916 is

GCF of Numerators i.e. for 852,967 is 1

LCM of denominators i.e. for 92,916 is 21068.

Thus, GCF of Fractions is 1/21068.Finally, GCF of Fractions for 852/92, 967/916 is 1/21068.