How to Find GCF of 8704/174, 5828/8252?

GCF of 8704/174, 5828/8252

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 8704/174, 5828/8252 i.e 4/717924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/174, 5828/8252.

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 8704/174,5828/8252?

Given fractions are 8704/174,5828/8252

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 8704/174,5828/8252, numerators are 8704,5828

Denominators are 174,8252

The GCF of 8704,5828 is 4 .

LCM of 174,8252 is 717924.

The greatest common factor of 8704/174,5828/8252 = [GCF of 8704,5828]/[LCM of 174,8252]= 4/717924

Therefore, the GCF of 8704/174,5828/8252 is 4/717924.

Greatest Common Factor of 8704,5828

To find the highest common factor of 8704,5828, we have to find the factors of both numbers and list the highest common factor.

The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704

The factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828

The HCF of 8704,5828 is 4.

Lets's calculate GCF of 8704,5828

Greatest Common Factor (GCF) of 8704,5828 By Common Division

2	8704, 5828
2	4352, 2914
	2176, 1457

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8704,5828 By Matching Biggest Common Factor Method

Now, list down the factors of 8704

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Now, list down the factors of 5828

1,2,4,31,47,62,94,124,188,1457,2914,5828

Greatest Common Factor

We found the factors 8704,5828 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,5828 is 4.

Lets's calculate LCM of 174,8252

Lowest Common Multiple of 174,8252 using Common Division

2	174, 8252
	87, 4126

∴ So the LCM of the given numbers is 2 x 87 x 4126 = 717924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/717924

Therefore, the GCF of Fractions 8704/174,5828/8252 is 4/717924

Least Common Multiple of 174,8252 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 174,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,8252) = 2

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

GCF(174,8252) x common factors =2 x 1 = 2

LCM(174,8252) = ( 174 × 8252 ) / 2

LCM(174,8252) = 1435848 / 2

LCM(174,8252) = 717924

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FAQs on GCF of Fractions of 8704/174, 5828/8252

1. What is the HCF of 8704,5828?

The HCF of 8704,5828 is 4

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 8704/174, 5828/8252?

Answer: GCF of Numerators as per given numbers 8704/174, 5828/8252 is

GCF of Numerators i.e. for 8704,5828 is 4

LCM of denominators i.e. for 174,8252 is 717924.

Thus, GCF of Fractions is 4/717924.Finally, GCF of Fractions for 8704/174, 5828/8252 is 4/717924.