How to Find GCF of 6906/185, 3678/1881?

GCF of 6906/185, 3678/1881

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 6906/185, 3678/1881 i.e 6/347985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6906/185, 3678/1881.

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 6906/185,3678/1881?

Given fractions are 6906/185,3678/1881

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 6906/185,3678/1881, numerators are 6906,3678

Denominators are 185,1881

The GCF of 6906,3678 is 6 .

LCM of 185,1881 is 347985.

The greatest common factor of 6906/185,3678/1881 = [GCF of 6906,3678]/[LCM of 185,1881]= 6/347985

Therefore, the GCF of 6906/185,3678/1881 is 6/347985.

Greatest Common Factor of 6906,3678

To find the highest common factor of 6906,3678, we have to find the factors of both numbers and list the highest common factor.

The factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906

The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678

The HCF of 6906,3678 is 6.

Lets's calculate GCF of 6906,3678

Greatest Common Factor (GCF) of 6906,3678 By Common Division

2	6906, 3678
3	3453, 1839
	1151, 613

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6906,3678 By Matching Biggest Common Factor Method

Now, list down the factors of 6906

1,2,3,6,1151,2302,3453,6906

Now, list down the factors of 3678

1,2,3,6,613,1226,1839,3678

Greatest Common Factor

We found the factors 6906,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 6906,3678 is 6.

Lets's calculate LCM of 185,1881

Lowest Common Multiple of 185,1881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 347985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/347985

Therefore, the GCF of Fractions 6906/185,3678/1881 is 6/347985

Least Common Multiple of 185,1881 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 185,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,1881) = 1

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

GCF(185,1881) x common factors =1 x 1 = 1

LCM(185,1881) = ( 185 × 1881 ) / 1

LCM(185,1881) = 347985 / 1

LCM(185,1881) = 347985

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FAQs on GCF of Fractions of 6906/185, 3678/1881

1. What is the HCF of 6906,3678?

The HCF of 6906,3678 is 6

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 6906/185, 3678/1881?

Answer: GCF of Numerators as per given numbers 6906/185, 3678/1881 is

GCF of Numerators i.e. for 6906,3678 is 6

LCM of denominators i.e. for 185,1881 is 347985.

Thus, GCF of Fractions is 6/347985.Finally, GCF of Fractions for 6906/185, 3678/1881 is 6/347985.