How to Find GCF of 792/34, 709/2678?

GCF of 792/34, 709/2678

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 792/34, 709/2678 i.e 1/45526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/34, 709/2678.

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 792/34,709/2678?

Given fractions are 792/34,709/2678

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 792/34,709/2678, numerators are 792,709

Denominators are 34,2678

The GCF of 792,709 is 1 .

LCM of 34,2678 is 45526.

The greatest common factor of 792/34,709/2678 = [GCF of 792,709]/[LCM of 34,2678]= 1/45526

Therefore, the GCF of 792/34,709/2678 is 1/45526.

Greatest Common Factor of 792,709

To find the highest common factor of 792,709, we have to find the factors of both numbers and list the highest common factor.

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

The factors of 709 are 1, 709

The HCF of 792,709 is 1.

Lets's calculate GCF of 792,709

Greatest Common Factor (GCF) of 792,709 By Common Division

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

Greatest Common Factor of 792,709 By Matching Biggest Common Factor Method

Now, list down the factors of 792

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Now, list down the factors of 709

1,709

Greatest Common Factor

We found the factors 792,709 . The biggest common factor number is the GCF number.
So the greatest common factor 792,709 is 1.

Lets's calculate LCM of 34,2678

Lowest Common Multiple of 34,2678 using Common Division

2	34, 2678
	17, 1339

∴ So the LCM of the given numbers is 2 x 17 x 1339 = 45526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45526

Therefore, the GCF of Fractions 792/34,709/2678 is 1/45526

Least Common Multiple of 34,2678 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 34,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,2678) = 2

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

GCF(34,2678) x common factors =2 x 1 = 2

LCM(34,2678) = ( 34 × 2678 ) / 2

LCM(34,2678) = 91052 / 2

LCM(34,2678) = 45526

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FAQs on GCF of Fractions of 792/34, 709/2678

1. What is the HCF of 792,709?

The HCF of 792,709 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 792/34, 709/2678?

Answer: GCF of Numerators as per given numbers 792/34, 709/2678 is

GCF of Numerators i.e. for 792,709 is 1

LCM of denominators i.e. for 34,2678 is 45526.

Thus, GCF of Fractions is 1/45526.Finally, GCF of Fractions for 792/34, 709/2678 is 1/45526.