How to Find GCF of 472/230, 456/378?

GCF of 472/230, 456/378

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 472/230, 456/378 i.e 8/43470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/230, 456/378.

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 472/230,456/378?

Given fractions are 472/230,456/378

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 472/230,456/378, numerators are 472,456

Denominators are 230,378

The GCF of 472,456 is 8 .

LCM of 230,378 is 43470.

The greatest common factor of 472/230,456/378 = [GCF of 472,456]/[LCM of 230,378]= 8/43470

Therefore, the GCF of 472/230,456/378 is 8/43470.

Greatest Common Factor of 472,456

To find the highest common factor of 472,456, 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 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

The HCF of 472,456 is 8.

Lets's calculate GCF of 472,456

Greatest Common Factor (GCF) of 472,456 By Common Division

2	472, 456
2	236, 228
2	118, 114
	59, 57

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

Greatest Common Factor of 472,456 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 456

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 472,456 . The biggest common factor number is the GCF number.
So the greatest common factor 472,456 is 8.

Lets's calculate LCM of 230,378

Lowest Common Multiple of 230,378 using Common Division

2	230, 378
	115, 189

∴ So the LCM of the given numbers is 2 x 115 x 189 = 43470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/43470

Therefore, the GCF of Fractions 472/230,456/378 is 8/43470

Least Common Multiple of 230,378 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 230,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,378) = 2

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

GCF(230,378) x common factors =2 x 1 = 2

LCM(230,378) = ( 230 × 378 ) / 2

LCM(230,378) = 86940 / 2

LCM(230,378) = 43470

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FAQs on GCF of Fractions of 472/230, 456/378

1. What is the HCF of 472,456?

The HCF of 472,456 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 472/230, 456/378?

Answer: GCF of Numerators as per given numbers 472/230, 456/378 is

GCF of Numerators i.e. for 472,456 is 8

LCM of denominators i.e. for 230,378 is 43470.

Thus, GCF of Fractions is 8/43470.Finally, GCF of Fractions for 472/230, 456/378 is 8/43470.