How to Find GCF of 793/407, 572/694?

GCF of 793/407, 572/694

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 793/407, 572/694 i.e 13/282458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/407, 572/694.

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 793/407,572/694?

Given fractions are 793/407,572/694

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 793/407,572/694, numerators are 793,572

Denominators are 407,694

The GCF of 793,572 is 13 .

LCM of 407,694 is 282458.

The greatest common factor of 793/407,572/694 = [GCF of 793,572]/[LCM of 407,694]= 13/282458

Therefore, the GCF of 793/407,572/694 is 13/282458.

Greatest Common Factor of 793,572

To find the highest common factor of 793,572, we have to find the factors of both numbers and list the highest common factor.

The factors of 793 are 1, 13, 61, 793

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The HCF of 793,572 is 13.

Lets's calculate GCF of 793,572

Greatest Common Factor (GCF) of 793,572 By Common Division

13	793, 572
	61, 44

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 793,572 By Matching Biggest Common Factor Method

Now, list down the factors of 793

1,13,61,793

Now, list down the factors of 572

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 793,572 . The biggest common factor number is the GCF number.
So the greatest common factor 793,572 is 13.

Lets's calculate LCM of 407,694

Lowest Common Multiple of 407,694 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/282458

Therefore, the GCF of Fractions 793/407,572/694 is 13/282458

Least Common Multiple of 407,694 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 407,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,694) = 1

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

GCF(407,694) x common factors =1 x 1 = 1

LCM(407,694) = ( 407 × 694 ) / 1

LCM(407,694) = 282458 / 1

LCM(407,694) = 282458

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FAQs on GCF of Fractions of 793/407, 572/694

1. What is the HCF of 793,572?

The HCF of 793,572 is 13

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 793/407, 572/694?

Answer: GCF of Numerators as per given numbers 793/407, 572/694 is

GCF of Numerators i.e. for 793,572 is 13

LCM of denominators i.e. for 407,694 is 282458.

Thus, GCF of Fractions is 13/282458.Finally, GCF of Fractions for 793/407, 572/694 is 13/282458.