How to Find GCF of 9973/137, 3547/7598?

GCF of 9973/137, 3547/7598

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 9973/137, 3547/7598 i.e 1/1040926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9973/137, 3547/7598.

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 9973/137,3547/7598?

Given fractions are 9973/137,3547/7598

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 9973/137,3547/7598, numerators are 9973,3547

Denominators are 137,7598

The GCF of 9973,3547 is 1 .

LCM of 137,7598 is 1040926.

The greatest common factor of 9973/137,3547/7598 = [GCF of 9973,3547]/[LCM of 137,7598]= 1/1040926

Therefore, the GCF of 9973/137,3547/7598 is 1/1040926.

Greatest Common Factor of 9973,3547

To find the highest common factor of 9973,3547, we have to find the factors of both numbers and list the highest common factor.

The factors of 9973 are 1, 9973

The factors of 3547 are 1, 3547

The HCF of 9973,3547 is 1.

Lets's calculate GCF of 9973,3547

Greatest Common Factor (GCF) of 9973,3547 By Common Division

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

Greatest Common Factor of 9973,3547 By Matching Biggest Common Factor Method

Now, list down the factors of 9973

1,9973

Now, list down the factors of 3547

1,3547

Greatest Common Factor

We found the factors 9973,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 9973,3547 is 1.

Lets's calculate LCM of 137,7598

Lowest Common Multiple of 137,7598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1040926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040926

Therefore, the GCF of Fractions 9973/137,3547/7598 is 1/1040926

Least Common Multiple of 137,7598 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 137,7598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,7598) = 1

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

GCF(137,7598) x common factors =1 x 1 = 1

LCM(137,7598) = ( 137 × 7598 ) / 1

LCM(137,7598) = 1040926 / 1

LCM(137,7598) = 1040926

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9973/137, 3547/7598

1. What is the HCF of 9973,3547?

The HCF of 9973,3547 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 9973/137, 3547/7598?

Answer: GCF of Numerators as per given numbers 9973/137, 3547/7598 is

GCF of Numerators i.e. for 9973,3547 is 1

LCM of denominators i.e. for 137,7598 is 1040926.

Thus, GCF of Fractions is 1/1040926.Finally, GCF of Fractions for 9973/137, 3547/7598 is 1/1040926.