How to Find GCF of 456/347, 816/788?

GCF of 456/347, 816/788

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 456/347, 816/788 i.e 24/273436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 456/347, 816/788.

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 456/347,816/788?

Given fractions are 456/347,816/788

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 456/347,816/788, numerators are 456,816

Denominators are 347,788

The GCF of 456,816 is 24 .

LCM of 347,788 is 273436.

The greatest common factor of 456/347,816/788 = [GCF of 456,816]/[LCM of 347,788]= 24/273436

Therefore, the GCF of 456/347,816/788 is 24/273436.

Greatest Common Factor of 456,816

To find the highest common factor of 456,816, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

The HCF of 456,816 is 24.

Lets's calculate GCF of 456,816

Greatest Common Factor (GCF) of 456,816 By Common Division

2	456, 816
2	228, 408
2	114, 204
3	57, 102
	19, 34

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 456,816 By Matching Biggest Common Factor Method

Now, list down the factors of 456

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

Now, list down the factors of 816

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 456,816 . The biggest common factor number is the GCF number.
So the greatest common factor 456,816 is 24.

Lets's calculate LCM of 347,788

Lowest Common Multiple of 347,788 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 273436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/273436

Therefore, the GCF of Fractions 456/347,816/788 is 24/273436

Least Common Multiple of 347,788 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 347,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,788) = 1

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

GCF(347,788) x common factors =1 x 1 = 1

LCM(347,788) = ( 347 × 788 ) / 1

LCM(347,788) = 273436 / 1

LCM(347,788) = 273436

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FAQs on GCF of Fractions of 456/347, 816/788

1. What is the HCF of 456,816?

The HCF of 456,816 is 24

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 456/347, 816/788?

Answer: GCF of Numerators as per given numbers 456/347, 816/788 is

GCF of Numerators i.e. for 456,816 is 24

LCM of denominators i.e. for 347,788 is 273436.

Thus, GCF of Fractions is 24/273436.Finally, GCF of Fractions for 456/347, 816/788 is 24/273436.