How to Find GCF of 795/584, 406/763?

GCF of 795/584, 406/763

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 795/584, 406/763 i.e 1/445592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/584, 406/763.

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 795/584,406/763?

Given fractions are 795/584,406/763

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 795/584,406/763, numerators are 795,406

Denominators are 584,763

The GCF of 795,406 is 1 .

LCM of 584,763 is 445592.

The greatest common factor of 795/584,406/763 = [GCF of 795,406]/[LCM of 584,763]= 1/445592

Therefore, the GCF of 795/584,406/763 is 1/445592.

Greatest Common Factor of 795,406

To find the highest common factor of 795,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 795,406 is 1.

Lets's calculate GCF of 795,406

Greatest Common Factor (GCF) of 795,406 By Common Division

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

Greatest Common Factor of 795,406 By Matching Biggest Common Factor Method

Now, list down the factors of 795

1,3,5,15,53,159,265,795

Now, list down the factors of 406

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 795,406 . The biggest common factor number is the GCF number.
So the greatest common factor 795,406 is 1.

Lets's calculate LCM of 584,763

Lowest Common Multiple of 584,763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 445592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445592

Therefore, the GCF of Fractions 795/584,406/763 is 1/445592

Least Common Multiple of 584,763 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 584,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,763) = 1

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

GCF(584,763) x common factors =1 x 1 = 1

LCM(584,763) = ( 584 × 763 ) / 1

LCM(584,763) = 445592 / 1

LCM(584,763) = 445592

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FAQs on GCF of Fractions of 795/584, 406/763

1. What is the HCF of 795,406?

The HCF of 795,406 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 795/584, 406/763?

Answer: GCF of Numerators as per given numbers 795/584, 406/763 is

GCF of Numerators i.e. for 795,406 is 1

LCM of denominators i.e. for 584,763 is 445592.

Thus, GCF of Fractions is 1/445592.Finally, GCF of Fractions for 795/584, 406/763 is 1/445592.