How to Find GCF of 208/141, 2115/682?

GCF of 208/141, 2115/682

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 208/141, 2115/682 i.e 1/96162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/141, 2115/682.

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 208/141,2115/682?

Given fractions are 208/141,2115/682

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 208/141,2115/682, numerators are 208,2115

Denominators are 141,682

The GCF of 208,2115 is 1 .

LCM of 141,682 is 96162.

The greatest common factor of 208/141,2115/682 = [GCF of 208,2115]/[LCM of 141,682]= 1/96162

Therefore, the GCF of 208/141,2115/682 is 1/96162.

Greatest Common Factor of 208,2115

To find the highest common factor of 208,2115, we have to find the factors of both numbers and list the highest common factor.

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115

The HCF of 208,2115 is 1.

Lets's calculate GCF of 208,2115

Greatest Common Factor (GCF) of 208,2115 By Common Division

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

Greatest Common Factor of 208,2115 By Matching Biggest Common Factor Method

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Now, list down the factors of 2115

1,3,5,9,15,45,47,141,235,423,705,2115

Greatest Common Factor

We found the factors 208,2115 . The biggest common factor number is the GCF number.
So the greatest common factor 208,2115 is 1.

Lets's calculate LCM of 141,682

Lowest Common Multiple of 141,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96162

Therefore, the GCF of Fractions 208/141,2115/682 is 1/96162

Least Common Multiple of 141,682 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 141,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,682) = 1

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

GCF(141,682) x common factors =1 x 1 = 1

LCM(141,682) = ( 141 × 682 ) / 1

LCM(141,682) = 96162 / 1

LCM(141,682) = 96162

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FAQs on GCF of Fractions of 208/141, 2115/682

1. What is the HCF of 208,2115?

The HCF of 208,2115 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 208/141, 2115/682?

Answer: GCF of Numerators as per given numbers 208/141, 2115/682 is

GCF of Numerators i.e. for 208,2115 is 1

LCM of denominators i.e. for 141,682 is 96162.

Thus, GCF of Fractions is 1/96162.Finally, GCF of Fractions for 208/141, 2115/682 is 1/96162.