How to Find GCF of 904/21, 678/6926?

GCF of 904/21, 678/6926

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 904/21, 678/6926 i.e 226/145446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/21, 678/6926.

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 904/21,678/6926?

Given fractions are 904/21,678/6926

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 904/21,678/6926, numerators are 904,678

Denominators are 21,6926

The GCF of 904,678 is 226 .

LCM of 21,6926 is 145446.

The greatest common factor of 904/21,678/6926 = [GCF of 904,678]/[LCM of 21,6926]= 226/145446

Therefore, the GCF of 904/21,678/6926 is 226/145446.

Greatest Common Factor of 904,678

To find the highest common factor of 904,678, we have to find the factors of both numbers and list the highest common factor.

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The HCF of 904,678 is 226.

Lets's calculate GCF of 904,678

Greatest Common Factor (GCF) of 904,678 By Common Division

2	904, 678
113	452, 339
	4, 3

∴ So the GCF of the given numbers is 2 x 113 = 226

Greatest Common Factor of 904,678 By Matching Biggest Common Factor Method

Now, list down the factors of 904

1,2,4,8,113,226,452,904

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 904,678 . The biggest common factor number is the GCF number.
So the greatest common factor 904,678 is 226.

Lets's calculate LCM of 21,6926

Lowest Common Multiple of 21,6926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 145446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 226/145446

Therefore, the GCF of Fractions 904/21,678/6926 is 226/145446

Least Common Multiple of 21,6926 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 21,6926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,6926) = 1

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

GCF(21,6926) x common factors =1 x 1 = 1

LCM(21,6926) = ( 21 × 6926 ) / 1

LCM(21,6926) = 145446 / 1

LCM(21,6926) = 145446

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FAQs on GCF of Fractions of 904/21, 678/6926

1. What is the HCF of 904,678?

The HCF of 904,678 is 226

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 904/21, 678/6926?

Answer: GCF of Numerators as per given numbers 904/21, 678/6926 is

GCF of Numerators i.e. for 904,678 is 226

LCM of denominators i.e. for 21,6926 is 145446.

Thus, GCF of Fractions is 226/145446.Finally, GCF of Fractions for 904/21, 678/6926 is 226/145446.