How to Find GCF of 8672/233, 4376/6158?

GCF of 8672/233, 4376/6158

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 8672/233, 4376/6158 i.e 8/1434814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8672/233, 4376/6158.

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 8672/233,4376/6158?

Given fractions are 8672/233,4376/6158

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 8672/233,4376/6158, numerators are 8672,4376

Denominators are 233,6158

The GCF of 8672,4376 is 8 .

LCM of 233,6158 is 1434814.

The greatest common factor of 8672/233,4376/6158 = [GCF of 8672,4376]/[LCM of 233,6158]= 8/1434814

Therefore, the GCF of 8672/233,4376/6158 is 8/1434814.

Greatest Common Factor of 8672,4376

To find the highest common factor of 8672,4376, we have to find the factors of both numbers and list the highest common factor.

The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672

The factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376

The HCF of 8672,4376 is 8.

Lets's calculate GCF of 8672,4376

Greatest Common Factor (GCF) of 8672,4376 By Common Division

2	8672, 4376
2	4336, 2188
2	2168, 1094
	1084, 547

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

Greatest Common Factor of 8672,4376 By Matching Biggest Common Factor Method

Now, list down the factors of 8672

1,2,4,8,16,32,271,542,1084,2168,4336,8672

Now, list down the factors of 4376

1,2,4,8,547,1094,2188,4376

Greatest Common Factor

We found the factors 8672,4376 . The biggest common factor number is the GCF number.
So the greatest common factor 8672,4376 is 8.

Lets's calculate LCM of 233,6158

Lowest Common Multiple of 233,6158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1434814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1434814

Therefore, the GCF of Fractions 8672/233,4376/6158 is 8/1434814

Least Common Multiple of 233,6158 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 233,6158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,6158) = 1

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

GCF(233,6158) x common factors =1 x 1 = 1

LCM(233,6158) = ( 233 × 6158 ) / 1

LCM(233,6158) = 1434814 / 1

LCM(233,6158) = 1434814

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8672/233, 4376/6158

1. What is the HCF of 8672,4376?

The HCF of 8672,4376 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 8672/233, 4376/6158?

Answer: GCF of Numerators as per given numbers 8672/233, 4376/6158 is

GCF of Numerators i.e. for 8672,4376 is 8

LCM of denominators i.e. for 233,6158 is 1434814.

Thus, GCF of Fractions is 8/1434814.Finally, GCF of Fractions for 8672/233, 4376/6158 is 8/1434814.