How to Find GCF of 779/469, 6726/835?

GCF of 779/469, 6726/835

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 779/469, 6726/835 i.e 19/391615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/469, 6726/835.

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 779/469,6726/835?

Given fractions are 779/469,6726/835

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 779/469,6726/835, numerators are 779,6726

Denominators are 469,835

The GCF of 779,6726 is 19 .

LCM of 469,835 is 391615.

The greatest common factor of 779/469,6726/835 = [GCF of 779,6726]/[LCM of 469,835]= 19/391615

Therefore, the GCF of 779/469,6726/835 is 19/391615.

Greatest Common Factor of 779,6726

To find the highest common factor of 779,6726, 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 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726

The HCF of 779,6726 is 19.

Lets's calculate GCF of 779,6726

Greatest Common Factor (GCF) of 779,6726 By Common Division

19	779, 6726
	41, 354

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 779,6726 By Matching Biggest Common Factor Method

Now, list down the factors of 779

1,19,41,779

Now, list down the factors of 6726

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Greatest Common Factor

We found the factors 779,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 779,6726 is 19.

Lets's calculate LCM of 469,835

Lowest Common Multiple of 469,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 391615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/391615

Therefore, the GCF of Fractions 779/469,6726/835 is 19/391615

Least Common Multiple of 469,835 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 469,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,835) = 1

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

GCF(469,835) x common factors =1 x 1 = 1

LCM(469,835) = ( 469 × 835 ) / 1

LCM(469,835) = 391615 / 1

LCM(469,835) = 391615

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FAQs on GCF of Fractions of 779/469, 6726/835

1. What is the HCF of 779,6726?

The HCF of 779,6726 is 19

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 779/469, 6726/835?

Answer: GCF of Numerators as per given numbers 779/469, 6726/835 is

GCF of Numerators i.e. for 779,6726 is 19

LCM of denominators i.e. for 469,835 is 391615.

Thus, GCF of Fractions is 19/391615.Finally, GCF of Fractions for 779/469, 6726/835 is 19/391615.