How to Find GCF of 4164/963, 3863/377?

GCF of 4164/963, 3863/377

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 4164/963, 3863/377 i.e 1/363051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4164/963, 3863/377.

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 4164/963,3863/377?

Given fractions are 4164/963,3863/377

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 4164/963,3863/377, numerators are 4164,3863

Denominators are 963,377

The GCF of 4164,3863 is 1 .

LCM of 963,377 is 363051.

The greatest common factor of 4164/963,3863/377 = [GCF of 4164,3863]/[LCM of 963,377]= 1/363051

Therefore, the GCF of 4164/963,3863/377 is 1/363051.

Greatest Common Factor of 4164,3863

To find the highest common factor of 4164,3863, we have to find the factors of both numbers and list the highest common factor.

The factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164

The factors of 3863 are 1, 3863

The HCF of 4164,3863 is 1.

Lets's calculate GCF of 4164,3863

Greatest Common Factor (GCF) of 4164,3863 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4164,3863 By Matching Biggest Common Factor Method

Now, list down the factors of 4164

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Now, list down the factors of 3863

1,3863

Greatest Common Factor

We found the factors 4164,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,3863 is 1.

Lets's calculate LCM of 963,377

Lowest Common Multiple of 963,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 363051

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363051

Therefore, the GCF of Fractions 4164/963,3863/377 is 1/363051

Least Common Multiple of 963,377 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 963,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,377) = 1

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

GCF(963,377) x common factors =1 x 1 = 1

LCM(963,377) = ( 963 × 377 ) / 1

LCM(963,377) = 363051 / 1

LCM(963,377) = 363051

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FAQs on GCF of Fractions of 4164/963, 3863/377

1. What is the HCF of 4164,3863?

The HCF of 4164,3863 is 1

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 4164/963, 3863/377?

Answer: GCF of Numerators as per given numbers 4164/963, 3863/377 is

GCF of Numerators i.e. for 4164,3863 is 1

LCM of denominators i.e. for 963,377 is 363051.

Thus, GCF of Fractions is 1/363051.Finally, GCF of Fractions for 4164/963, 3863/377 is 1/363051.