How to Find GCF of 2764/662, 6735/824?

GCF of 2764/662, 6735/824

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 2764/662, 6735/824 i.e 1/272744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2764/662, 6735/824.

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 2764/662,6735/824?

Given fractions are 2764/662,6735/824

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 2764/662,6735/824, numerators are 2764,6735

Denominators are 662,824

The GCF of 2764,6735 is 1 .

LCM of 662,824 is 272744.

The greatest common factor of 2764/662,6735/824 = [GCF of 2764,6735]/[LCM of 662,824]= 1/272744

Therefore, the GCF of 2764/662,6735/824 is 1/272744.

Greatest Common Factor of 2764,6735

To find the highest common factor of 2764,6735, we have to find the factors of both numbers and list the highest common factor.

The factors of 2764 are 1, 2, 4, 691, 1382, 2764

The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735

The HCF of 2764,6735 is 1.

Lets's calculate GCF of 2764,6735

Greatest Common Factor (GCF) of 2764,6735 By Common Division

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

Greatest Common Factor of 2764,6735 By Matching Biggest Common Factor Method

Now, list down the factors of 2764

1,2,4,691,1382,2764

Now, list down the factors of 6735

1,3,5,15,449,1347,2245,6735

Greatest Common Factor

We found the factors 2764,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 2764,6735 is 1.

Lets's calculate LCM of 662,824

Lowest Common Multiple of 662,824 using Common Division

2	662, 824
	331, 412

∴ So the LCM of the given numbers is 2 x 331 x 412 = 272744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272744

Therefore, the GCF of Fractions 2764/662,6735/824 is 1/272744

Least Common Multiple of 662,824 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 662,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,824) = 2

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

GCF(662,824) x common factors =2 x 1 = 2

LCM(662,824) = ( 662 × 824 ) / 2

LCM(662,824) = 545488 / 2

LCM(662,824) = 272744

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FAQs on GCF of Fractions of 2764/662, 6735/824

1. What is the HCF of 2764,6735?

The HCF of 2764,6735 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 2764/662, 6735/824?

Answer: GCF of Numerators as per given numbers 2764/662, 6735/824 is

GCF of Numerators i.e. for 2764,6735 is 1

LCM of denominators i.e. for 662,824 is 272744.

Thus, GCF of Fractions is 1/272744.Finally, GCF of Fractions for 2764/662, 6735/824 is 1/272744.