How to Find GCF of 2176/898, 2515/6761?

GCF of 2176/898, 2515/6761

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 2176/898, 2515/6761 i.e 1/6071378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/898, 2515/6761.

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 2176/898,2515/6761?

Given fractions are 2176/898,2515/6761

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 2176/898,2515/6761, numerators are 2176,2515

Denominators are 898,6761

The GCF of 2176,2515 is 1 .

LCM of 898,6761 is 6071378.

The greatest common factor of 2176/898,2515/6761 = [GCF of 2176,2515]/[LCM of 898,6761]= 1/6071378

Therefore, the GCF of 2176/898,2515/6761 is 1/6071378.

Greatest Common Factor of 2176,2515

To find the highest common factor of 2176,2515, we have to find the factors of both numbers and list the highest common factor.

The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176

The factors of 2515 are 1, 5, 503, 2515

The HCF of 2176,2515 is 1.

Lets's calculate GCF of 2176,2515

Greatest Common Factor (GCF) of 2176,2515 By Common Division

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

Greatest Common Factor of 2176,2515 By Matching Biggest Common Factor Method

Now, list down the factors of 2176

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Now, list down the factors of 2515

1,5,503,2515

Greatest Common Factor

We found the factors 2176,2515 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,2515 is 1.

Lets's calculate LCM of 898,6761

Lowest Common Multiple of 898,6761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6071378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6071378

Therefore, the GCF of Fractions 2176/898,2515/6761 is 1/6071378

Least Common Multiple of 898,6761 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 898,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,6761) = 1

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

GCF(898,6761) x common factors =1 x 1 = 1

LCM(898,6761) = ( 898 × 6761 ) / 1

LCM(898,6761) = 6071378 / 1

LCM(898,6761) = 6071378

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FAQs on GCF of Fractions of 2176/898, 2515/6761

1. What is the HCF of 2176,2515?

The HCF of 2176,2515 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 2176/898, 2515/6761?

Answer: GCF of Numerators as per given numbers 2176/898, 2515/6761 is

GCF of Numerators i.e. for 2176,2515 is 1

LCM of denominators i.e. for 898,6761 is 6071378.

Thus, GCF of Fractions is 1/6071378.Finally, GCF of Fractions for 2176/898, 2515/6761 is 1/6071378.