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GCF of 747/334, 2465/666

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 747/334, 2465/666 i.e 1/111222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/334, 2465/666.

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 747/334,2465/666?

Given fractions are 747/334,2465/666

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 747/334,2465/666, numerators are 747,2465

Denominators are 334,666

The GCF of 747,2465 is 1 .

LCM of 334,666 is 111222.

The greatest common factor of 747/334,2465/666 = [GCF of 747,2465]/[LCM of 334,666]= 1/111222

Therefore, the GCF of 747/334,2465/666 is 1/111222.

Greatest Common Factor of 747,2465

To find the highest common factor of 747,2465, we have to find the factors of both numbers and list the highest common factor.

The factors of 747 are 1, 3, 9, 83, 249, 747

The factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465

The HCF of 747,2465 is 1.

Lets's calculate GCF of 747,2465

Greatest Common Factor (GCF) of 747,2465 By Common Division

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

Greatest Common Factor of 747,2465 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,2465 By Matching Biggest Common Factor Method

Now, list down the factors of 747

:

1,3,9,83,249,747

Now, list down the factors of 2465

:

1,5,17,29,85,145,493,2465

Greatest Common Factor

We found the factors 747,2465 . The biggest common factor number is the GCF number.
So the greatest common factor 747,2465 is 1.

Lets's calculate LCM of 334,666

Lowest Common Multiple of 334,666 using Common Division

2 334, 666
167, 333

∴ So the LCM of the given numbers is 2 x 167 x 333 = 111222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111222

Therefore, the GCF of Fractions 747/334,2465/666 is 1/111222

Least Common Multiple of 334,666 with GCF Formula

Least Common Multiple of 334,666 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 334,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,666) = 2

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

GCF(334,666) x common factors =2 x 1 = 2

LCM(334,666) = ( 334 × 666 ) / 2

LCM(334,666) = 222444 / 2

LCM(334,666) = 111222


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FAQs on GCF of Fractions of 747/334, 2465/666

1. What is the HCF of 747,2465?

The HCF of 747,2465 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 747/334, 2465/666?

Answer: GCF of Numerators as per given numbers 747/334, 2465/666 is

GCF of Numerators i.e. for 747,2465 is 1

LCM of denominators i.e. for 334,666 is 111222.

Thus, GCF of Fractions is 1/111222.Finally, GCF of Fractions for 747/334, 2465/666 is 1/111222.