How to Find GCF of 2677/740, 1659/8519?

GCF of 2677/740, 1659/8519

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 2677/740, 1659/8519 i.e 1/6304060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2677/740, 1659/8519.

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 2677/740,1659/8519?

Given fractions are 2677/740,1659/8519

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 2677/740,1659/8519, numerators are 2677,1659

Denominators are 740,8519

The GCF of 2677,1659 is 1 .

LCM of 740,8519 is 6304060.

The greatest common factor of 2677/740,1659/8519 = [GCF of 2677,1659]/[LCM of 740,8519]= 1/6304060

Therefore, the GCF of 2677/740,1659/8519 is 1/6304060.

Greatest Common Factor of 2677,1659

To find the highest common factor of 2677,1659, we have to find the factors of both numbers and list the highest common factor.

The factors of 2677 are 1, 2677

The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659

The HCF of 2677,1659 is 1.

Lets's calculate GCF of 2677,1659

Greatest Common Factor (GCF) of 2677,1659 By Common Division

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

Greatest Common Factor of 2677,1659 By Matching Biggest Common Factor Method

Now, list down the factors of 2677

1,2677

Now, list down the factors of 1659

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 2677,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 2677,1659 is 1.

Lets's calculate LCM of 740,8519

Lowest Common Multiple of 740,8519 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6304060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6304060

Therefore, the GCF of Fractions 2677/740,1659/8519 is 1/6304060

Least Common Multiple of 740,8519 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 740,8519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,8519) = 1

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

GCF(740,8519) x common factors =1 x 1 = 1

LCM(740,8519) = ( 740 × 8519 ) / 1

LCM(740,8519) = 6304060 / 1

LCM(740,8519) = 6304060

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FAQs on GCF of Fractions of 2677/740, 1659/8519

1. What is the HCF of 2677,1659?

The HCF of 2677,1659 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 2677/740, 1659/8519?

Answer: GCF of Numerators as per given numbers 2677/740, 1659/8519 is

GCF of Numerators i.e. for 2677,1659 is 1

LCM of denominators i.e. for 740,8519 is 6304060.

Thus, GCF of Fractions is 1/6304060.Finally, GCF of Fractions for 2677/740, 1659/8519 is 1/6304060.