GCF of 872/996, 7517/9213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/996, 7517/9213 i.e 1/36852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/996, 7517/9213.
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 872/996,7517/9213?
Given fractions are 872/996,7517/9213
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 872/996,7517/9213, numerators are 872,7517
Denominators are 996,9213
The GCF of 872,7517 is 1 .
LCM of 996,9213 is 36852.
The greatest common factor of 872/996,7517/9213 = [GCF of 872,7517]/[LCM of 996,9213]= 1/36852
Therefore, the GCF of 872/996,7517/9213 is 1/36852.
To find the highest common factor of 872,7517, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 7517 are 1, 7517
The HCF of 872,7517 is 1.
Lets's calculate GCF of 872,7517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 872,7517 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 7517
:1,7517
Greatest Common Factor
We found the factors 872,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 872,7517 is 1.
Lets's calculate LCM of 996,9213
| 3 | 996, 9213 |
| 83 | 332, 3071 |
| 4, 37 |
∴ So the LCM of the given numbers is 3 x 83 x 4 x 37 = 36852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36852
Therefore, the GCF of Fractions 872/996,7517/9213 is 1/36852
Least Common Multiple of 996,9213 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 996,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,9213) = 249
common factors(in case of two or more numbers have common factors) = 1
GCF(996,9213) x common factors =249 x 1 = 249
LCM(996,9213) = ( 996 × 9213 ) / 249
LCM(996,9213) = 9176148 / 249
LCM(996,9213) = 36852
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 872/996, 7517/9213
1. What is the HCF of 872,7517?
The HCF of 872,7517 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 872/996, 7517/9213?
Answer: GCF of Numerators as per given numbers 872/996, 7517/9213 is
GCF of Numerators i.e. for 872,7517 is 1
LCM of denominators i.e. for 996,9213 is 36852.
Thus, GCF of Fractions is 1/36852.Finally, GCF of Fractions for 872/996, 7517/9213 is 1/36852.