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GCF of 779/978, 697/811

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 779/978, 697/811 i.e 41/793158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/978, 697/811.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 779/978,697/811?

Given fractions are 779/978,697/811

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 779/978,697/811, numerators are 779,697

Denominators are 978,811

The GCF of 779,697 is 41 .

LCM of 978,811 is 793158.

The greatest common factor of 779/978,697/811 = [GCF of 779,697]/[LCM of 978,811]= 41/793158

Therefore, the GCF of 779/978,697/811 is 41/793158.

Greatest Common Factor of 779,697

To find the highest common factor of 779,697, we have to find the factors of both numbers and list the highest common factor.

The factors of 779 are 1, 19, 41, 779

The factors of 697 are 1, 17, 41, 697

The HCF of 779,697 is 41.

Lets's calculate GCF of 779,697

Greatest Common Factor (GCF) of 779,697 By Common Division

41 779, 697
19, 17

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 779,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,697 By Matching Biggest Common Factor Method

Now, list down the factors of 779

:

1,19,41,779

Now, list down the factors of 697

:

1,17,41,697

Greatest Common Factor

We found the factors 779,697 . The biggest common factor number is the GCF number.
So the greatest common factor 779,697 is 41.

Lets's calculate LCM of 978,811

Lowest Common Multiple of 978,811 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 793158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/793158

Therefore, the GCF of Fractions 779/978,697/811 is 41/793158

Least Common Multiple of 978,811 with GCF Formula

Least Common Multiple of 978,811 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 978,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,811) = 1

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

GCF(978,811) x common factors =1 x 1 = 1

LCM(978,811) = ( 978 × 811 ) / 1

LCM(978,811) = 793158 / 1

LCM(978,811) = 793158


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FAQs on GCF of Fractions of 779/978, 697/811

1. What is the HCF of 779,697?

The HCF of 779,697 is 41

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 779/978, 697/811?

Answer: GCF of Numerators as per given numbers 779/978, 697/811 is

GCF of Numerators i.e. for 779,697 is 41

LCM of denominators i.e. for 978,811 is 793158.

Thus, GCF of Fractions is 41/793158.Finally, GCF of Fractions for 779/978, 697/811 is 41/793158.