GCF of 8913/749, 9067/2114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8913/749, 9067/2114 i.e 1/226198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8913/749, 9067/2114.
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 8913/749,9067/2114?
Given fractions are 8913/749,9067/2114
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 8913/749,9067/2114, numerators are 8913,9067
Denominators are 749,2114
The GCF of 8913,9067 is 1 .
LCM of 749,2114 is 226198.
The greatest common factor of 8913/749,9067/2114 = [GCF of 8913,9067]/[LCM of 749,2114]= 1/226198
Therefore, the GCF of 8913/749,9067/2114 is 1/226198.
To find the highest common factor of 8913,9067, we have to find the factors of both numbers and list the highest common factor.
The factors of 8913 are 1, 3, 2971, 8913
The factors of 9067 are 1, 9067
The HCF of 8913,9067 is 1.
Lets's calculate GCF of 8913,9067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8913,9067 By Matching Biggest Common Factor Method
Now, list down the factors of 8913
:1,3,2971,8913
Now, list down the factors of 9067
:1,9067
Greatest Common Factor
We found the factors 8913,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 8913,9067 is 1.
Lets's calculate LCM of 749,2114
| 7 | 749, 2114 |
| 107, 302 |
∴ So the LCM of the given numbers is 7 x 107 x 302 = 226198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226198
Therefore, the GCF of Fractions 8913/749,9067/2114 is 1/226198
Least Common Multiple of 749,2114 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 749,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,2114) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,2114) x common factors =7 x 1 = 7
LCM(749,2114) = ( 749 × 2114 ) / 7
LCM(749,2114) = 1583386 / 7
LCM(749,2114) = 226198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8913/749, 9067/2114
1. What is the HCF of 8913,9067?
The HCF of 8913,9067 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 8913/749, 9067/2114?
Answer: GCF of Numerators as per given numbers 8913/749, 9067/2114 is
GCF of Numerators i.e. for 8913,9067 is 1
LCM of denominators i.e. for 749,2114 is 226198.
Thus, GCF of Fractions is 1/226198.Finally, GCF of Fractions for 8913/749, 9067/2114 is 1/226198.