How to Find GCF of 8526/923, 4366/478?

GCF of 8526/923, 4366/478

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 8526/923, 4366/478 i.e 2/441194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8526/923, 4366/478.

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 8526/923,4366/478?

Given fractions are 8526/923,4366/478

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 8526/923,4366/478, numerators are 8526,4366

Denominators are 923,478

The GCF of 8526,4366 is 2 .

LCM of 923,478 is 441194.

The greatest common factor of 8526/923,4366/478 = [GCF of 8526,4366]/[LCM of 923,478]= 2/441194

Therefore, the GCF of 8526/923,4366/478 is 2/441194.

Greatest Common Factor of 8526,4366

To find the highest common factor of 8526,4366, we have to find the factors of both numbers and list the highest common factor.

The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526

The factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366

The HCF of 8526,4366 is 2.

Lets's calculate GCF of 8526,4366

Greatest Common Factor (GCF) of 8526,4366 By Common Division

2	8526, 4366
	4263, 2183

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

Greatest Common Factor of 8526,4366 By Matching Biggest Common Factor Method

Now, list down the factors of 8526

1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526

Now, list down the factors of 4366

1,2,37,59,74,118,2183,4366

Greatest Common Factor

We found the factors 8526,4366 . The biggest common factor number is the GCF number.
So the greatest common factor 8526,4366 is 2.

Lets's calculate LCM of 923,478

Lowest Common Multiple of 923,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 441194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/441194

Therefore, the GCF of Fractions 8526/923,4366/478 is 2/441194

Least Common Multiple of 923,478 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 923,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,478) = 1

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

GCF(923,478) x common factors =1 x 1 = 1

LCM(923,478) = ( 923 × 478 ) / 1

LCM(923,478) = 441194 / 1

LCM(923,478) = 441194

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FAQs on GCF of Fractions of 8526/923, 4366/478

1. What is the HCF of 8526,4366?

The HCF of 8526,4366 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 8526/923, 4366/478?

Answer: GCF of Numerators as per given numbers 8526/923, 4366/478 is

GCF of Numerators i.e. for 8526,4366 is 2

LCM of denominators i.e. for 923,478 is 441194.

Thus, GCF of Fractions is 2/441194.Finally, GCF of Fractions for 8526/923, 4366/478 is 2/441194.