How to Find GCF of 3861/220, 2959/7779?

GCF of 3861/220, 2959/7779

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 3861/220, 2959/7779 i.e 11/1711380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3861/220, 2959/7779.

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 3861/220,2959/7779?

Given fractions are 3861/220,2959/7779

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 3861/220,2959/7779, numerators are 3861,2959

Denominators are 220,7779

The GCF of 3861,2959 is 11 .

LCM of 220,7779 is 1711380.

The greatest common factor of 3861/220,2959/7779 = [GCF of 3861,2959]/[LCM of 220,7779]= 11/1711380

Therefore, the GCF of 3861/220,2959/7779 is 11/1711380.

Greatest Common Factor of 3861,2959

To find the highest common factor of 3861,2959, we have to find the factors of both numbers and list the highest common factor.

The factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861

The factors of 2959 are 1, 11, 269, 2959

The HCF of 3861,2959 is 11.

Lets's calculate GCF of 3861,2959

Greatest Common Factor (GCF) of 3861,2959 By Common Division

11	3861, 2959
	351, 269

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3861,2959 By Matching Biggest Common Factor Method

Now, list down the factors of 3861

1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861

Now, list down the factors of 2959

1,11,269,2959

Greatest Common Factor

We found the factors 3861,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 3861,2959 is 11.

Lets's calculate LCM of 220,7779

Lowest Common Multiple of 220,7779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1711380

Therefore, the GCF of Fractions 3861/220,2959/7779 is 11/1711380

Least Common Multiple of 220,7779 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 220,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,7779) = 1

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

GCF(220,7779) x common factors =1 x 1 = 1

LCM(220,7779) = ( 220 × 7779 ) / 1

LCM(220,7779) = 1711380 / 1

LCM(220,7779) = 1711380

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FAQs on GCF of Fractions of 3861/220, 2959/7779

1. What is the HCF of 3861,2959?

The HCF of 3861,2959 is 11

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 3861/220, 2959/7779?

Answer: GCF of Numerators as per given numbers 3861/220, 2959/7779 is

GCF of Numerators i.e. for 3861,2959 is 11

LCM of denominators i.e. for 220,7779 is 1711380.

Thus, GCF of Fractions is 11/1711380.Finally, GCF of Fractions for 3861/220, 2959/7779 is 11/1711380.