How to Find GCF of 2713/732, 1923/6677?

GCF of 2713/732, 1923/6677

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 2713/732, 1923/6677 i.e 1/4887564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/732, 1923/6677.

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 2713/732,1923/6677?

Given fractions are 2713/732,1923/6677

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 2713/732,1923/6677, numerators are 2713,1923

Denominators are 732,6677

The GCF of 2713,1923 is 1 .

LCM of 732,6677 is 4887564.

The greatest common factor of 2713/732,1923/6677 = [GCF of 2713,1923]/[LCM of 732,6677]= 1/4887564

Therefore, the GCF of 2713/732,1923/6677 is 1/4887564.

Greatest Common Factor of 2713,1923

To find the highest common factor of 2713,1923, we have to find the factors of both numbers and list the highest common factor.

The factors of 2713 are 1, 2713

The factors of 1923 are 1, 3, 641, 1923

The HCF of 2713,1923 is 1.

Lets's calculate GCF of 2713,1923

Greatest Common Factor (GCF) of 2713,1923 By Common Division

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

Greatest Common Factor of 2713,1923 By Matching Biggest Common Factor Method

Now, list down the factors of 2713

1,2713

Now, list down the factors of 1923

1,3,641,1923

Greatest Common Factor

We found the factors 2713,1923 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,1923 is 1.

Lets's calculate LCM of 732,6677

Lowest Common Multiple of 732,6677 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4887564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4887564

Therefore, the GCF of Fractions 2713/732,1923/6677 is 1/4887564

Least Common Multiple of 732,6677 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 732,6677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,6677) = 1

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

GCF(732,6677) x common factors =1 x 1 = 1

LCM(732,6677) = ( 732 × 6677 ) / 1

LCM(732,6677) = 4887564 / 1

LCM(732,6677) = 4887564

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FAQs on GCF of Fractions of 2713/732, 1923/6677

1. What is the HCF of 2713,1923?

The HCF of 2713,1923 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 2713/732, 1923/6677?

Answer: GCF of Numerators as per given numbers 2713/732, 1923/6677 is

GCF of Numerators i.e. for 2713,1923 is 1

LCM of denominators i.e. for 732,6677 is 4887564.

Thus, GCF of Fractions is 1/4887564.Finally, GCF of Fractions for 2713/732, 1923/6677 is 1/4887564.