How to Find GCF of 472/849, 752/479?

GCF of 472/849, 752/479

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 472/849, 752/479 i.e 8/406671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/849, 752/479.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 472/849,752/479?

Given fractions are 472/849,752/479

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 472/849,752/479, numerators are 472,752

Denominators are 849,479

The GCF of 472,752 is 8 .

LCM of 849,479 is 406671.

The greatest common factor of 472/849,752/479 = [GCF of 472,752]/[LCM of 849,479]= 8/406671

Therefore, the GCF of 472/849,752/479 is 8/406671.

Greatest Common Factor of 472,752

To find the highest common factor of 472,752, we have to find the factors of both numbers and list the highest common factor.

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472

The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

The HCF of 472,752 is 8.

Lets's calculate GCF of 472,752

Greatest Common Factor (GCF) of 472,752 By Common Division

2	472, 752
2	236, 376
2	118, 188
	59, 94

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 472,752 By Matching Biggest Common Factor Method

Now, list down the factors of 472

1,2,4,8,59,118,236,472

Now, list down the factors of 752

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 472,752 . The biggest common factor number is the GCF number.
So the greatest common factor 472,752 is 8.

Lets's calculate LCM of 849,479

Lowest Common Multiple of 849,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 406671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/406671

Therefore, the GCF of Fractions 472/849,752/479 is 8/406671

Least Common Multiple of 849,479 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 849,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,479) = 1

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

GCF(849,479) x common factors =1 x 1 = 1

LCM(849,479) = ( 849 × 479 ) / 1

LCM(849,479) = 406671 / 1

LCM(849,479) = 406671

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 472/849, 752/479

1. What is the HCF of 472,752?

The HCF of 472,752 is 8

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 472/849, 752/479?

Answer: GCF of Numerators as per given numbers 472/849, 752/479 is

GCF of Numerators i.e. for 472,752 is 8

LCM of denominators i.e. for 849,479 is 406671.

Thus, GCF of Fractions is 8/406671.Finally, GCF of Fractions for 472/849, 752/479 is 8/406671.