How to Find GCF of 9501/893, 3098/7993?

GCF of 9501/893, 3098/7993

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 9501/893, 3098/7993 i.e 1/7137749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9501/893, 3098/7993.

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 9501/893,3098/7993?

Given fractions are 9501/893,3098/7993

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 9501/893,3098/7993, numerators are 9501,3098

Denominators are 893,7993

The GCF of 9501,3098 is 1 .

LCM of 893,7993 is 7137749.

The greatest common factor of 9501/893,3098/7993 = [GCF of 9501,3098]/[LCM of 893,7993]= 1/7137749

Therefore, the GCF of 9501/893,3098/7993 is 1/7137749.

Greatest Common Factor of 9501,3098

To find the highest common factor of 9501,3098, we have to find the factors of both numbers and list the highest common factor.

The factors of 9501 are 1, 3, 3167, 9501

The factors of 3098 are 1, 2, 1549, 3098

The HCF of 9501,3098 is 1.

Lets's calculate GCF of 9501,3098

Greatest Common Factor (GCF) of 9501,3098 By Common Division

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

Greatest Common Factor of 9501,3098 By Matching Biggest Common Factor Method

Now, list down the factors of 9501

1,3,3167,9501

Now, list down the factors of 3098

1,2,1549,3098

Greatest Common Factor

We found the factors 9501,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 9501,3098 is 1.

Lets's calculate LCM of 893,7993

Lowest Common Multiple of 893,7993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7137749

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7137749

Therefore, the GCF of Fractions 9501/893,3098/7993 is 1/7137749

Least Common Multiple of 893,7993 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 893,7993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,7993) = 1

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

GCF(893,7993) x common factors =1 x 1 = 1

LCM(893,7993) = ( 893 × 7993 ) / 1

LCM(893,7993) = 7137749 / 1

LCM(893,7993) = 7137749

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9501/893, 3098/7993

1. What is the HCF of 9501,3098?

The HCF of 9501,3098 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 9501/893, 3098/7993?

Answer: GCF of Numerators as per given numbers 9501/893, 3098/7993 is

GCF of Numerators i.e. for 9501,3098 is 1

LCM of denominators i.e. for 893,7993 is 7137749.

Thus, GCF of Fractions is 1/7137749.Finally, GCF of Fractions for 9501/893, 3098/7993 is 1/7137749.