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GCF of 2713/100, 6777/144

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 2713/100, 6777/144 i.e 1/3600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/100, 6777/144.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2713/100,6777/144?

Given fractions are 2713/100,6777/144

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 2713/100,6777/144, numerators are 2713,6777

Denominators are 100,144

The GCF of 2713,6777 is 1 .

LCM of 100,144 is 3600.

The greatest common factor of 2713/100,6777/144 = [GCF of 2713,6777]/[LCM of 100,144]= 1/3600

Therefore, the GCF of 2713/100,6777/144 is 1/3600.

Greatest Common Factor of 2713,6777

To find the highest common factor of 2713,6777, 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 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777

The HCF of 2713,6777 is 1.

Lets's calculate GCF of 2713,6777

Greatest Common Factor (GCF) of 2713,6777 By Common Division

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

Greatest Common Factor of 2713,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 2713,6777 By Matching Biggest Common Factor Method

Now, list down the factors of 2713

:

1,2713

Now, list down the factors of 6777

:

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 2713,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,6777 is 1.

Lets's calculate LCM of 100,144

Lowest Common Multiple of 100,144 using Common Division

2 100, 144
2 50, 72
25, 36

∴ So the LCM of the given numbers is 2 x 2 x 25 x 36 = 3600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3600

Therefore, the GCF of Fractions 2713/100,6777/144 is 1/3600

Least Common Multiple of 100,144 with GCF Formula

Least Common Multiple of 100,144 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 100,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,144) = 4

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

GCF(100,144) x common factors =4 x 1 = 4

LCM(100,144) = ( 100 × 144 ) / 4

LCM(100,144) = 14400 / 4

LCM(100,144) = 3600


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FAQs on GCF of Fractions of 2713/100, 6777/144

1. What is the HCF of 2713,6777?

The HCF of 2713,6777 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 2713/100, 6777/144?

Answer: GCF of Numerators as per given numbers 2713/100, 6777/144 is

GCF of Numerators i.e. for 2713,6777 is 1

LCM of denominators i.e. for 100,144 is 3600.

Thus, GCF of Fractions is 1/3600.Finally, GCF of Fractions for 2713/100, 6777/144 is 1/3600.