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 452/991, 856/442

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 452/991, 856/442 i.e 4/438022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/991, 856/442.

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 452/991,856/442?

Given fractions are 452/991,856/442

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 452/991,856/442, numerators are 452,856

Denominators are 991,442

The GCF of 452,856 is 4 .

LCM of 991,442 is 438022.

The greatest common factor of 452/991,856/442 = [GCF of 452,856]/[LCM of 991,442]= 4/438022

Therefore, the GCF of 452/991,856/442 is 4/438022.

Greatest Common Factor of 452,856

To find the highest common factor of 452,856, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 452,856 is 4.

Lets's calculate GCF of 452,856

Greatest Common Factor (GCF) of 452,856 By Common Division

2 452, 856
2 226, 428
113, 214

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 452,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,856 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 856

:

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 452,856 . The biggest common factor number is the GCF number.
So the greatest common factor 452,856 is 4.

Lets's calculate LCM of 991,442

Lowest Common Multiple of 991,442 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 438022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/438022

Therefore, the GCF of Fractions 452/991,856/442 is 4/438022

Least Common Multiple of 991,442 with GCF Formula

Least Common Multiple of 991,442 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 991,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,442) = 1

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

GCF(991,442) x common factors =1 x 1 = 1

LCM(991,442) = ( 991 × 442 ) / 1

LCM(991,442) = 438022 / 1

LCM(991,442) = 438022


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 452/991, 856/442

1. What is the HCF of 452,856?

The HCF of 452,856 is 4

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 452/991, 856/442?

Answer: GCF of Numerators as per given numbers 452/991, 856/442 is

GCF of Numerators i.e. for 452,856 is 4

LCM of denominators i.e. for 991,442 is 438022.

Thus, GCF of Fractions is 4/438022.Finally, GCF of Fractions for 452/991, 856/442 is 4/438022.