How to Find GCF of 779/344, 4017/1308?

GCF of 779/344, 4017/1308

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 779/344, 4017/1308 i.e 1/112488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/344, 4017/1308.

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 779/344,4017/1308?

Given fractions are 779/344,4017/1308

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 779/344,4017/1308, numerators are 779,4017

Denominators are 344,1308

The GCF of 779,4017 is 1 .

LCM of 344,1308 is 112488.

The greatest common factor of 779/344,4017/1308 = [GCF of 779,4017]/[LCM of 344,1308]= 1/112488

Therefore, the GCF of 779/344,4017/1308 is 1/112488.

Greatest Common Factor of 779,4017

To find the highest common factor of 779,4017, 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 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017

The HCF of 779,4017 is 1.

Lets's calculate GCF of 779,4017

Greatest Common Factor (GCF) of 779,4017 By Common Division

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

Greatest Common Factor of 779,4017 By Matching Biggest Common Factor Method

Now, list down the factors of 779

1,19,41,779

Now, list down the factors of 4017

1,3,13,39,103,309,1339,4017

Greatest Common Factor

We found the factors 779,4017 . The biggest common factor number is the GCF number.
So the greatest common factor 779,4017 is 1.

Lets's calculate LCM of 344,1308

Lowest Common Multiple of 344,1308 using Common Division

2	344, 1308
2	172, 654
	86, 327

∴ So the LCM of the given numbers is 2 x 2 x 86 x 327 = 112488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112488

Therefore, the GCF of Fractions 779/344,4017/1308 is 1/112488

Least Common Multiple of 344,1308 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 344,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,1308) = 4

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

GCF(344,1308) x common factors =4 x 1 = 4

LCM(344,1308) = ( 344 × 1308 ) / 4

LCM(344,1308) = 449952 / 4

LCM(344,1308) = 112488

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FAQs on GCF of Fractions of 779/344, 4017/1308

1. What is the HCF of 779,4017?

The HCF of 779,4017 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 779/344, 4017/1308?

Answer: GCF of Numerators as per given numbers 779/344, 4017/1308 is

GCF of Numerators i.e. for 779,4017 is 1

LCM of denominators i.e. for 344,1308 is 112488.

Thus, GCF of Fractions is 1/112488.Finally, GCF of Fractions for 779/344, 4017/1308 is 1/112488.