How to Find GCF of 906/678, 3994/8371?

GCF of 906/678, 3994/8371

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 906/678, 3994/8371 i.e 2/5675538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 906/678, 3994/8371.

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 906/678,3994/8371?

Given fractions are 906/678,3994/8371

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 906/678,3994/8371, numerators are 906,3994

Denominators are 678,8371

The GCF of 906,3994 is 2 .

LCM of 678,8371 is 5675538.

The greatest common factor of 906/678,3994/8371 = [GCF of 906,3994]/[LCM of 678,8371]= 2/5675538

Therefore, the GCF of 906/678,3994/8371 is 2/5675538.

Greatest Common Factor of 906,3994

To find the highest common factor of 906,3994, we have to find the factors of both numbers and list the highest common factor.

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The factors of 3994 are 1, 2, 1997, 3994

The HCF of 906,3994 is 2.

Lets's calculate GCF of 906,3994

Greatest Common Factor (GCF) of 906,3994 By Common Division

2	906, 3994
	453, 1997

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

Greatest Common Factor of 906,3994 By Matching Biggest Common Factor Method

Now, list down the factors of 906

1,2,3,6,151,302,453,906

Now, list down the factors of 3994

1,2,1997,3994

Greatest Common Factor

We found the factors 906,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 906,3994 is 2.

Lets's calculate LCM of 678,8371

Lowest Common Multiple of 678,8371 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5675538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5675538

Therefore, the GCF of Fractions 906/678,3994/8371 is 2/5675538

Least Common Multiple of 678,8371 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 678,8371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,8371) = 1

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

GCF(678,8371) x common factors =1 x 1 = 1

LCM(678,8371) = ( 678 × 8371 ) / 1

LCM(678,8371) = 5675538 / 1

LCM(678,8371) = 5675538

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FAQs on GCF of Fractions of 906/678, 3994/8371

1. What is the HCF of 906,3994?

The HCF of 906,3994 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 906/678, 3994/8371?

Answer: GCF of Numerators as per given numbers 906/678, 3994/8371 is

GCF of Numerators i.e. for 906,3994 is 2

LCM of denominators i.e. for 678,8371 is 5675538.

Thus, GCF of Fractions is 2/5675538.Finally, GCF of Fractions for 906/678, 3994/8371 is 2/5675538.