How to Find GCF of 4589/179, 9685/346?

GCF of 4589/179, 9685/346

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 4589/179, 9685/346 i.e 13/61934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4589/179, 9685/346.

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 4589/179,9685/346?

Given fractions are 4589/179,9685/346

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 4589/179,9685/346, numerators are 4589,9685

Denominators are 179,346

The GCF of 4589,9685 is 13 .

LCM of 179,346 is 61934.

The greatest common factor of 4589/179,9685/346 = [GCF of 4589,9685]/[LCM of 179,346]= 13/61934

Therefore, the GCF of 4589/179,9685/346 is 13/61934.

Greatest Common Factor of 4589,9685

To find the highest common factor of 4589,9685, we have to find the factors of both numbers and list the highest common factor.

The factors of 4589 are 1, 13, 353, 4589

The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685

The HCF of 4589,9685 is 13.

Lets's calculate GCF of 4589,9685

Greatest Common Factor (GCF) of 4589,9685 By Common Division

13	4589, 9685
	353, 745

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4589,9685 By Matching Biggest Common Factor Method

Now, list down the factors of 4589

1,13,353,4589

Now, list down the factors of 9685

1,5,13,65,149,745,1937,9685

Greatest Common Factor

We found the factors 4589,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 4589,9685 is 13.

Lets's calculate LCM of 179,346

Lowest Common Multiple of 179,346 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/61934

Therefore, the GCF of Fractions 4589/179,9685/346 is 13/61934

Least Common Multiple of 179,346 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 179,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,346) = 1

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

GCF(179,346) x common factors =1 x 1 = 1

LCM(179,346) = ( 179 × 346 ) / 1

LCM(179,346) = 61934 / 1

LCM(179,346) = 61934

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FAQs on GCF of Fractions of 4589/179, 9685/346

1. What is the HCF of 4589,9685?

The HCF of 4589,9685 is 13

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 4589/179, 9685/346?

Answer: GCF of Numerators as per given numbers 4589/179, 9685/346 is

GCF of Numerators i.e. for 4589,9685 is 13

LCM of denominators i.e. for 179,346 is 61934.

Thus, GCF of Fractions is 13/61934.Finally, GCF of Fractions for 4589/179, 9685/346 is 13/61934.