How to Find GCF of 3877/567, 3486/1186?

GCF of 3877/567, 3486/1186

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 3877/567, 3486/1186 i.e 1/672462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3877/567, 3486/1186.

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 3877/567,3486/1186?

Given fractions are 3877/567,3486/1186

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 3877/567,3486/1186, numerators are 3877,3486

Denominators are 567,1186

The GCF of 3877,3486 is 1 .

LCM of 567,1186 is 672462.

The greatest common factor of 3877/567,3486/1186 = [GCF of 3877,3486]/[LCM of 567,1186]= 1/672462

Therefore, the GCF of 3877/567,3486/1186 is 1/672462.

Greatest Common Factor of 3877,3486

To find the highest common factor of 3877,3486, we have to find the factors of both numbers and list the highest common factor.

The factors of 3877 are 1, 3877

The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486

The HCF of 3877,3486 is 1.

Lets's calculate GCF of 3877,3486

Greatest Common Factor (GCF) of 3877,3486 By Common Division

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

Greatest Common Factor of 3877,3486 By Matching Biggest Common Factor Method

Now, list down the factors of 3877

1,3877

Now, list down the factors of 3486

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Greatest Common Factor

We found the factors 3877,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 3877,3486 is 1.

Lets's calculate LCM of 567,1186

Lowest Common Multiple of 567,1186 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 672462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672462

Therefore, the GCF of Fractions 3877/567,3486/1186 is 1/672462

Least Common Multiple of 567,1186 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 567,1186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,1186) = 1

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

GCF(567,1186) x common factors =1 x 1 = 1

LCM(567,1186) = ( 567 × 1186 ) / 1

LCM(567,1186) = 672462 / 1

LCM(567,1186) = 672462

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3877/567, 3486/1186

1. What is the HCF of 3877,3486?

The HCF of 3877,3486 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 3877/567, 3486/1186?

Answer: GCF of Numerators as per given numbers 3877/567, 3486/1186 is

GCF of Numerators i.e. for 3877,3486 is 1

LCM of denominators i.e. for 567,1186 is 672462.

Thus, GCF of Fractions is 1/672462.Finally, GCF of Fractions for 3877/567, 3486/1186 is 1/672462.