How to Find GCF of 2987/105, 3902/208?

GCF of 2987/105, 3902/208

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 2987/105, 3902/208 i.e 1/21840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2987/105, 3902/208.

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 2987/105,3902/208?

Given fractions are 2987/105,3902/208

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 2987/105,3902/208, numerators are 2987,3902

Denominators are 105,208

The GCF of 2987,3902 is 1 .

LCM of 105,208 is 21840.

The greatest common factor of 2987/105,3902/208 = [GCF of 2987,3902]/[LCM of 105,208]= 1/21840

Therefore, the GCF of 2987/105,3902/208 is 1/21840.

Greatest Common Factor of 2987,3902

To find the highest common factor of 2987,3902, we have to find the factors of both numbers and list the highest common factor.

The factors of 2987 are 1, 29, 103, 2987

The factors of 3902 are 1, 2, 1951, 3902

The HCF of 2987,3902 is 1.

Lets's calculate GCF of 2987,3902

Greatest Common Factor (GCF) of 2987,3902 By Common Division

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

Greatest Common Factor of 2987,3902 By Matching Biggest Common Factor Method

Now, list down the factors of 2987

1,29,103,2987

Now, list down the factors of 3902

1,2,1951,3902

Greatest Common Factor

We found the factors 2987,3902 . The biggest common factor number is the GCF number.
So the greatest common factor 2987,3902 is 1.

Lets's calculate LCM of 105,208

Lowest Common Multiple of 105,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21840

Therefore, the GCF of Fractions 2987/105,3902/208 is 1/21840

Least Common Multiple of 105,208 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 105,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,208) = 1

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

GCF(105,208) x common factors =1 x 1 = 1

LCM(105,208) = ( 105 × 208 ) / 1

LCM(105,208) = 21840 / 1

LCM(105,208) = 21840

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FAQs on GCF of Fractions of 2987/105, 3902/208

1. What is the HCF of 2987,3902?

The HCF of 2987,3902 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 2987/105, 3902/208?

Answer: GCF of Numerators as per given numbers 2987/105, 3902/208 is

GCF of Numerators i.e. for 2987,3902 is 1

LCM of denominators i.e. for 105,208 is 21840.

Thus, GCF of Fractions is 1/21840.Finally, GCF of Fractions for 2987/105, 3902/208 is 1/21840.