How to Find GCF of 572/472, 470/312?

GCF of 572/472, 470/312

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 572/472, 470/312 i.e 2/18408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/472, 470/312.

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 572/472,470/312?

Given fractions are 572/472,470/312

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 572/472,470/312, numerators are 572,470

Denominators are 472,312

The GCF of 572,470 is 2 .

LCM of 472,312 is 18408.

The greatest common factor of 572/472,470/312 = [GCF of 572,470]/[LCM of 472,312]= 2/18408

Therefore, the GCF of 572/472,470/312 is 2/18408.

Greatest Common Factor of 572,470

To find the highest common factor of 572,470, 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 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 572,470 is 2.

Lets's calculate GCF of 572,470

Greatest Common Factor (GCF) of 572,470 By Common Division

2	572, 470
	286, 235

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

Greatest Common Factor of 572,470 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 470

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 572,470 . The biggest common factor number is the GCF number.
So the greatest common factor 572,470 is 2.

Lets's calculate LCM of 472,312

Lowest Common Multiple of 472,312 using Common Division

2	472, 312
2	236, 156
2	118, 78
	59, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 39 = 18408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18408

Therefore, the GCF of Fractions 572/472,470/312 is 2/18408

Least Common Multiple of 472,312 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 472,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,312) = 8

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

GCF(472,312) x common factors =8 x 1 = 8

LCM(472,312) = ( 472 × 312 ) / 8

LCM(472,312) = 147264 / 8

LCM(472,312) = 18408

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FAQs on GCF of Fractions of 572/472, 470/312

1. What is the HCF of 572,470?

The HCF of 572,470 is 2

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 572/472, 470/312?

Answer: GCF of Numerators as per given numbers 572/472, 470/312 is

GCF of Numerators i.e. for 572,470 is 2

LCM of denominators i.e. for 472,312 is 18408.

Thus, GCF of Fractions is 2/18408.Finally, GCF of Fractions for 572/472, 470/312 is 2/18408.