How to Find GCF of 599/25, 700/5897?

GCF of 599/25, 700/5897

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 599/25, 700/5897 i.e 1/147425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/25, 700/5897.

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 599/25,700/5897?

Given fractions are 599/25,700/5897

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 599/25,700/5897, numerators are 599,700

Denominators are 25,5897

The GCF of 599,700 is 1 .

LCM of 25,5897 is 147425.

The greatest common factor of 599/25,700/5897 = [GCF of 599,700]/[LCM of 25,5897]= 1/147425

Therefore, the GCF of 599/25,700/5897 is 1/147425.

Greatest Common Factor of 599,700

To find the highest common factor of 599,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 599 are 1, 599

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The HCF of 599,700 is 1.

Lets's calculate GCF of 599,700

Greatest Common Factor (GCF) of 599,700 By Common Division

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

Greatest Common Factor of 599,700 By Matching Biggest Common Factor Method

Now, list down the factors of 599

1,599

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 599,700 . The biggest common factor number is the GCF number.
So the greatest common factor 599,700 is 1.

Lets's calculate LCM of 25,5897

Lowest Common Multiple of 25,5897 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147425

Therefore, the GCF of Fractions 599/25,700/5897 is 1/147425

Least Common Multiple of 25,5897 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 25,5897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5897) = 1

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

GCF(25,5897) x common factors =1 x 1 = 1

LCM(25,5897) = ( 25 × 5897 ) / 1

LCM(25,5897) = 147425 / 1

LCM(25,5897) = 147425

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 599/25, 700/5897

1. What is the HCF of 599,700?

The HCF of 599,700 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 599/25, 700/5897?

Answer: GCF of Numerators as per given numbers 599/25, 700/5897 is

GCF of Numerators i.e. for 599,700 is 1

LCM of denominators i.e. for 25,5897 is 147425.

Thus, GCF of Fractions is 1/147425.Finally, GCF of Fractions for 599/25, 700/5897 is 1/147425.