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 452/79, 568/487

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 452/79, 568/487 i.e 4/38473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/79, 568/487.

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 452/79,568/487?

Given fractions are 452/79,568/487

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 452/79,568/487, numerators are 452,568

Denominators are 79,487

The GCF of 452,568 is 4 .

LCM of 79,487 is 38473.

The greatest common factor of 452/79,568/487 = [GCF of 452,568]/[LCM of 79,487]= 4/38473

Therefore, the GCF of 452/79,568/487 is 4/38473.

Greatest Common Factor of 452,568

To find the highest common factor of 452,568, 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 568 are 1, 2, 4, 8, 71, 142, 284, 568

The HCF of 452,568 is 4.

Lets's calculate GCF of 452,568

Greatest Common Factor (GCF) of 452,568 By Common Division

2 452, 568
2 226, 284
113, 142

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

Greatest Common Factor of 452,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,568 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 568

:

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 452,568 . The biggest common factor number is the GCF number.
So the greatest common factor 452,568 is 4.

Lets's calculate LCM of 79,487

Lowest Common Multiple of 79,487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38473

Therefore, the GCF of Fractions 452/79,568/487 is 4/38473

Least Common Multiple of 79,487 with GCF Formula

Least Common Multiple of 79,487 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 79,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,487) = 1

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

GCF(79,487) x common factors =1 x 1 = 1

LCM(79,487) = ( 79 × 487 ) / 1

LCM(79,487) = 38473 / 1

LCM(79,487) = 38473


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 452/79, 568/487

1. What is the HCF of 452,568?

The HCF of 452,568 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 452/79, 568/487?

Answer: GCF of Numerators as per given numbers 452/79, 568/487 is

GCF of Numerators i.e. for 452,568 is 4

LCM of denominators i.e. for 79,487 is 38473.

Thus, GCF of Fractions is 4/38473.Finally, GCF of Fractions for 452/79, 568/487 is 4/38473.