How to Find GCF of 3958/687, 2141/1496?

GCF of 3958/687, 2141/1496

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 3958/687, 2141/1496 i.e 1/1027752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3958/687, 2141/1496.

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 3958/687,2141/1496?

Given fractions are 3958/687,2141/1496

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 3958/687,2141/1496, numerators are 3958,2141

Denominators are 687,1496

The GCF of 3958,2141 is 1 .

LCM of 687,1496 is 1027752.

The greatest common factor of 3958/687,2141/1496 = [GCF of 3958,2141]/[LCM of 687,1496]= 1/1027752

Therefore, the GCF of 3958/687,2141/1496 is 1/1027752.

Greatest Common Factor of 3958,2141

To find the highest common factor of 3958,2141, we have to find the factors of both numbers and list the highest common factor.

The factors of 3958 are 1, 2, 1979, 3958

The factors of 2141 are 1, 2141

The HCF of 3958,2141 is 1.

Lets's calculate GCF of 3958,2141

Greatest Common Factor (GCF) of 3958,2141 By Common Division

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

Greatest Common Factor of 3958,2141 By Matching Biggest Common Factor Method

Now, list down the factors of 3958

1,2,1979,3958

Now, list down the factors of 2141

1,2141

Greatest Common Factor

We found the factors 3958,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,2141 is 1.

Lets's calculate LCM of 687,1496

Lowest Common Multiple of 687,1496 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1027752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1027752

Therefore, the GCF of Fractions 3958/687,2141/1496 is 1/1027752

Least Common Multiple of 687,1496 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 687,1496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,1496) = 1

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

GCF(687,1496) x common factors =1 x 1 = 1

LCM(687,1496) = ( 687 × 1496 ) / 1

LCM(687,1496) = 1027752 / 1

LCM(687,1496) = 1027752

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FAQs on GCF of Fractions of 3958/687, 2141/1496

1. What is the HCF of 3958,2141?

The HCF of 3958,2141 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 3958/687, 2141/1496?

Answer: GCF of Numerators as per given numbers 3958/687, 2141/1496 is

GCF of Numerators i.e. for 3958,2141 is 1

LCM of denominators i.e. for 687,1496 is 1027752.

Thus, GCF of Fractions is 1/1027752.Finally, GCF of Fractions for 3958/687, 2141/1496 is 1/1027752.