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 447/572, 938/506

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 447/572, 938/506 i.e 1/13156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/572, 938/506.

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 447/572,938/506?

Given fractions are 447/572,938/506

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 447/572,938/506, numerators are 447,938

Denominators are 572,506

The GCF of 447,938 is 1 .

LCM of 572,506 is 13156.

The greatest common factor of 447/572,938/506 = [GCF of 447,938]/[LCM of 572,506]= 1/13156

Therefore, the GCF of 447/572,938/506 is 1/13156.

Greatest Common Factor of 447,938

To find the highest common factor of 447,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 447 are 1, 3, 149, 447

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 447,938 is 1.

Lets's calculate GCF of 447,938

Greatest Common Factor (GCF) of 447,938 By Common Division

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

Greatest Common Factor of 447,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,938 By Matching Biggest Common Factor Method

Now, list down the factors of 447

:

1,3,149,447

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 447,938 . The biggest common factor number is the GCF number.
So the greatest common factor 447,938 is 1.

Lets's calculate LCM of 572,506

Lowest Common Multiple of 572,506 using Common Division

2 572, 506
11 286, 253
26, 23

∴ So the LCM of the given numbers is 2 x 11 x 26 x 23 = 13156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13156

Therefore, the GCF of Fractions 447/572,938/506 is 1/13156

Least Common Multiple of 572,506 with GCF Formula

Least Common Multiple of 572,506 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 572,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,506) = 22

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

GCF(572,506) x common factors =22 x 1 = 22

LCM(572,506) = ( 572 × 506 ) / 22

LCM(572,506) = 289432 / 22

LCM(572,506) = 13156


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 447/572, 938/506

1. What is the HCF of 447,938?

The HCF of 447,938 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 447/572, 938/506?

Answer: GCF of Numerators as per given numbers 447/572, 938/506 is

GCF of Numerators i.e. for 447,938 is 1

LCM of denominators i.e. for 572,506 is 13156.

Thus, GCF of Fractions is 1/13156.Finally, GCF of Fractions for 447/572, 938/506 is 1/13156.