How to Find GCF of 6909/748, 2683/264?

GCF of 6909/748, 2683/264

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 6909/748, 2683/264 i.e 1/4488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6909/748, 2683/264.

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 6909/748,2683/264?

Given fractions are 6909/748,2683/264

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 6909/748,2683/264, numerators are 6909,2683

Denominators are 748,264

The GCF of 6909,2683 is 1 .

LCM of 748,264 is 4488.

The greatest common factor of 6909/748,2683/264 = [GCF of 6909,2683]/[LCM of 748,264]= 1/4488

Therefore, the GCF of 6909/748,2683/264 is 1/4488.

Greatest Common Factor of 6909,2683

To find the highest common factor of 6909,2683, we have to find the factors of both numbers and list the highest common factor.

The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909

The factors of 2683 are 1, 2683

The HCF of 6909,2683 is 1.

Lets's calculate GCF of 6909,2683

Greatest Common Factor (GCF) of 6909,2683 By Common Division

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

Greatest Common Factor of 6909,2683 By Matching Biggest Common Factor Method

Now, list down the factors of 6909

1,3,7,21,47,49,141,147,329,987,2303,6909

Now, list down the factors of 2683

1,2683

Greatest Common Factor

We found the factors 6909,2683 . The biggest common factor number is the GCF number.
So the greatest common factor 6909,2683 is 1.

Lets's calculate LCM of 748,264

Lowest Common Multiple of 748,264 using Common Division

2	748, 264
2	374, 132
11	187, 66
	17, 6

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 6 = 4488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4488

Therefore, the GCF of Fractions 6909/748,2683/264 is 1/4488

Least Common Multiple of 748,264 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 748,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,264) = 44

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

GCF(748,264) x common factors =44 x 1 = 44

LCM(748,264) = ( 748 × 264 ) / 44

LCM(748,264) = 197472 / 44

LCM(748,264) = 4488

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6909/748, 2683/264

1. What is the HCF of 6909,2683?

The HCF of 6909,2683 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 6909/748, 2683/264?

Answer: GCF of Numerators as per given numbers 6909/748, 2683/264 is

GCF of Numerators i.e. for 6909,2683 is 1

LCM of denominators i.e. for 748,264 is 4488.

Thus, GCF of Fractions is 1/4488.Finally, GCF of Fractions for 6909/748, 2683/264 is 1/4488.