How to Find GCF of 5029/601, 2545/9800?

GCF of 5029/601, 2545/9800

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 5029/601, 2545/9800 i.e 1/5889800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5029/601, 2545/9800.

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 5029/601,2545/9800?

Given fractions are 5029/601,2545/9800

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 5029/601,2545/9800, numerators are 5029,2545

Denominators are 601,9800

The GCF of 5029,2545 is 1 .

LCM of 601,9800 is 5889800.

The greatest common factor of 5029/601,2545/9800 = [GCF of 5029,2545]/[LCM of 601,9800]= 1/5889800

Therefore, the GCF of 5029/601,2545/9800 is 1/5889800.

Greatest Common Factor of 5029,2545

To find the highest common factor of 5029,2545, we have to find the factors of both numbers and list the highest common factor.

The factors of 5029 are 1, 47, 107, 5029

The factors of 2545 are 1, 5, 509, 2545

The HCF of 5029,2545 is 1.

Lets's calculate GCF of 5029,2545

Greatest Common Factor (GCF) of 5029,2545 By Common Division

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

Greatest Common Factor of 5029,2545 By Matching Biggest Common Factor Method

Now, list down the factors of 5029

1,47,107,5029

Now, list down the factors of 2545

1,5,509,2545

Greatest Common Factor

We found the factors 5029,2545 . The biggest common factor number is the GCF number.
So the greatest common factor 5029,2545 is 1.

Lets's calculate LCM of 601,9800

Lowest Common Multiple of 601,9800 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5889800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5889800

Therefore, the GCF of Fractions 5029/601,2545/9800 is 1/5889800

Least Common Multiple of 601,9800 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 601,9800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,9800) = 1

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

GCF(601,9800) x common factors =1 x 1 = 1

LCM(601,9800) = ( 601 × 9800 ) / 1

LCM(601,9800) = 5889800 / 1

LCM(601,9800) = 5889800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5029/601, 2545/9800

1. What is the HCF of 5029,2545?

The HCF of 5029,2545 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 5029/601, 2545/9800?

Answer: GCF of Numerators as per given numbers 5029/601, 2545/9800 is

GCF of Numerators i.e. for 5029,2545 is 1

LCM of denominators i.e. for 601,9800 is 5889800.

Thus, GCF of Fractions is 1/5889800.Finally, GCF of Fractions for 5029/601, 2545/9800 is 1/5889800.