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 572/947, 436/686

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 572/947, 436/686 i.e 4/649642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/947, 436/686.

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 572/947,436/686?

Given fractions are 572/947,436/686

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 572/947,436/686, numerators are 572,436

Denominators are 947,686

The GCF of 572,436 is 4 .

LCM of 947,686 is 649642.

The greatest common factor of 572/947,436/686 = [GCF of 572,436]/[LCM of 947,686]= 4/649642

Therefore, the GCF of 572/947,436/686 is 4/649642.

Greatest Common Factor of 572,436

To find the highest common factor of 572,436, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 436 are 1, 2, 4, 109, 218, 436

The HCF of 572,436 is 4.

Lets's calculate GCF of 572,436

Greatest Common Factor (GCF) of 572,436 By Common Division

2 572, 436
2 286, 218
143, 109

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

Greatest Common Factor of 572,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,436 By Matching Biggest Common Factor Method

Now, list down the factors of 572

:

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 436

:

1,2,4,109,218,436

Greatest Common Factor

We found the factors 572,436 . The biggest common factor number is the GCF number.
So the greatest common factor 572,436 is 4.

Lets's calculate LCM of 947,686

Lowest Common Multiple of 947,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 649642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/649642

Therefore, the GCF of Fractions 572/947,436/686 is 4/649642

Least Common Multiple of 947,686 with GCF Formula

Least Common Multiple of 947,686 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 947,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,686) = 1

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

GCF(947,686) x common factors =1 x 1 = 1

LCM(947,686) = ( 947 × 686 ) / 1

LCM(947,686) = 649642 / 1

LCM(947,686) = 649642


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 572/947, 436/686

1. What is the HCF of 572,436?

The HCF of 572,436 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 572/947, 436/686?

Answer: GCF of Numerators as per given numbers 572/947, 436/686 is

GCF of Numerators i.e. for 572,436 is 4

LCM of denominators i.e. for 947,686 is 649642.

Thus, GCF of Fractions is 4/649642.Finally, GCF of Fractions for 572/947, 436/686 is 4/649642.