How to Find GCF of 4604/289, 5799/778?

GCF of 4604/289, 5799/778

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 4604/289, 5799/778 i.e 1/224842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4604/289, 5799/778.

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 4604/289,5799/778?

Given fractions are 4604/289,5799/778

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 4604/289,5799/778, numerators are 4604,5799

Denominators are 289,778

The GCF of 4604,5799 is 1 .

LCM of 289,778 is 224842.

The greatest common factor of 4604/289,5799/778 = [GCF of 4604,5799]/[LCM of 289,778]= 1/224842

Therefore, the GCF of 4604/289,5799/778 is 1/224842.

Greatest Common Factor of 4604,5799

To find the highest common factor of 4604,5799, we have to find the factors of both numbers and list the highest common factor.

The factors of 4604 are 1, 2, 4, 1151, 2302, 4604

The factors of 5799 are 1, 3, 1933, 5799

The HCF of 4604,5799 is 1.

Lets's calculate GCF of 4604,5799

Greatest Common Factor (GCF) of 4604,5799 By Common Division

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

Greatest Common Factor of 4604,5799 By Matching Biggest Common Factor Method

Now, list down the factors of 4604

1,2,4,1151,2302,4604

Now, list down the factors of 5799

1,3,1933,5799

Greatest Common Factor

We found the factors 4604,5799 . The biggest common factor number is the GCF number.
So the greatest common factor 4604,5799 is 1.

Lets's calculate LCM of 289,778

Lowest Common Multiple of 289,778 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 224842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224842

Therefore, the GCF of Fractions 4604/289,5799/778 is 1/224842

Least Common Multiple of 289,778 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 289,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,778) = 1

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

GCF(289,778) x common factors =1 x 1 = 1

LCM(289,778) = ( 289 × 778 ) / 1

LCM(289,778) = 224842 / 1

LCM(289,778) = 224842

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FAQs on GCF of Fractions of 4604/289, 5799/778

1. What is the HCF of 4604,5799?

The HCF of 4604,5799 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 4604/289, 5799/778?

Answer: GCF of Numerators as per given numbers 4604/289, 5799/778 is

GCF of Numerators i.e. for 4604,5799 is 1

LCM of denominators i.e. for 289,778 is 224842.

Thus, GCF of Fractions is 1/224842.Finally, GCF of Fractions for 4604/289, 5799/778 is 1/224842.