How to Find GCF of 34/782, 59/107, 604/108?

GCF of 34/782, 59/107, 604/108

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 34/782, 59/107, 604/108 i.e 1/4518396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/782, 59/107, 604/108.

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 34/782,59/107,604/108?

Given fractions are 34/782,59/107,604/108

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 34/782,59/107,604/108, numerators are 34,59,604

Denominators are 782,107,108

The GCF of 34,59,604 is 1 .

LCM of 782,107,108 is 4518396.

The greatest common factor of 34/782,59/107,604/108 = [GCF of 34,59,604]/[LCM of 782,107,108]= 1/4518396

Therefore, the GCF of 34/782,59/107,604/108 is 1/4518396.

Greatest Common Factor of 34,59,604

To find the highest common factor of 34,59,604, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 59 are 1, 59

The factors of 604 are 1, 2, 4, 151, 302, 604

The HCF of 34,59,604 is 1.

Lets's calculate GCF of 34,59,604

Greatest Common Factor (GCF) of 34,59,604 By Common Division

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

Greatest Common Factor of 34,59,604 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 59

1,59

Now, list down the factors of 604

1,2,4,151,302,604

Greatest Common Factor

We found the factors 34,59,604 . The biggest common factor number is the GCF number.
So the greatest common factor 34,59,604 is 1.

Lets's calculate LCM of 782,107,108

Lowest Common Multiple of 782,107,108 using Common Division

2	782, 107, 108
	391, 107, 54

∴ So the LCM of the given numbers is 2 x 391 x 107 x 54 = 4518396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4518396

Therefore, the GCF of Fractions 34/782,59/107,604/108 is 1/4518396

Least Common Multiple of 782,107,108 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 782,107,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,107,108) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(782,107,108) x common factors =1 x 2 = 2

LCM(782,107,108) = ( 782 × 107 × 108 ) / 2

LCM(782,107,108) = 9036792 / 2

LCM(782,107,108) = 4518396

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FAQs on GCF of Fractions of 34/782, 59/107, 604/108

1. What is the HCF of 34,59,604?

The HCF of 34,59,604 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 34/782, 59/107, 604/108?

Answer: GCF of Numerators as per given numbers 34/782, 59/107, 604/108 is

GCF of Numerators i.e. for 34,59,604 is 1

LCM of denominators i.e. for 782,107,108 is 4518396.

Thus, GCF of Fractions is 1/4518396.Finally, GCF of Fractions for 34/782, 59/107, 604/108 is 1/4518396.