How to Find GCF of 791/835, 1718/753?

GCF of 791/835, 1718/753

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 791/835, 1718/753 i.e 1/628755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/835, 1718/753.

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 791/835,1718/753?

Given fractions are 791/835,1718/753

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 791/835,1718/753, numerators are 791,1718

Denominators are 835,753

The GCF of 791,1718 is 1 .

LCM of 835,753 is 628755.

The greatest common factor of 791/835,1718/753 = [GCF of 791,1718]/[LCM of 835,753]= 1/628755

Therefore, the GCF of 791/835,1718/753 is 1/628755.

Greatest Common Factor of 791,1718

To find the highest common factor of 791,1718, we have to find the factors of both numbers and list the highest common factor.

The factors of 791 are 1, 7, 113, 791

The factors of 1718 are 1, 2, 859, 1718

The HCF of 791,1718 is 1.

Lets's calculate GCF of 791,1718

Greatest Common Factor (GCF) of 791,1718 By Common Division

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

Greatest Common Factor of 791,1718 By Matching Biggest Common Factor Method

Now, list down the factors of 791

1,7,113,791

Now, list down the factors of 1718

1,2,859,1718

Greatest Common Factor

We found the factors 791,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 791,1718 is 1.

Lets's calculate LCM of 835,753

Lowest Common Multiple of 835,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628755

Therefore, the GCF of Fractions 791/835,1718/753 is 1/628755

Least Common Multiple of 835,753 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 835,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,753) = 1

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

GCF(835,753) x common factors =1 x 1 = 1

LCM(835,753) = ( 835 × 753 ) / 1

LCM(835,753) = 628755 / 1

LCM(835,753) = 628755

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FAQs on GCF of Fractions of 791/835, 1718/753

1. What is the HCF of 791,1718?

The HCF of 791,1718 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 791/835, 1718/753?

Answer: GCF of Numerators as per given numbers 791/835, 1718/753 is

GCF of Numerators i.e. for 791,1718 is 1

LCM of denominators i.e. for 835,753 is 628755.

Thus, GCF of Fractions is 1/628755.Finally, GCF of Fractions for 791/835, 1718/753 is 1/628755.