GCF of 7537/336, 2886/2091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7537/336, 2886/2091 i.e 1/234192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7537/336, 2886/2091.
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 7537/336,2886/2091?
Given fractions are 7537/336,2886/2091
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 7537/336,2886/2091, numerators are 7537,2886
Denominators are 336,2091
The GCF of 7537,2886 is 1 .
LCM of 336,2091 is 234192.
The greatest common factor of 7537/336,2886/2091 = [GCF of 7537,2886]/[LCM of 336,2091]= 1/234192
Therefore, the GCF of 7537/336,2886/2091 is 1/234192.
To find the highest common factor of 7537,2886, we have to find the factors of both numbers and list the highest common factor.
The factors of 7537 are 1, 7537
The factors of 2886 are 1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443, 2886
The HCF of 7537,2886 is 1.
Lets's calculate GCF of 7537,2886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7537,2886 By Matching Biggest Common Factor Method
Now, list down the factors of 7537
:1,7537
Now, list down the factors of 2886
:1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Greatest Common Factor
We found the factors 7537,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 7537,2886 is 1.
Lets's calculate LCM of 336,2091
| 3 | 336, 2091 |
| 112, 697 |
∴ So the LCM of the given numbers is 3 x 112 x 697 = 234192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234192
Therefore, the GCF of Fractions 7537/336,2886/2091 is 1/234192
Least Common Multiple of 336,2091 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 336,2091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,2091) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,2091) x common factors =3 x 1 = 3
LCM(336,2091) = ( 336 × 2091 ) / 3
LCM(336,2091) = 702576 / 3
LCM(336,2091) = 234192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7537/336, 2886/2091
1. What is the HCF of 7537,2886?
The HCF of 7537,2886 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 7537/336, 2886/2091?
Answer: GCF of Numerators as per given numbers 7537/336, 2886/2091 is
GCF of Numerators i.e. for 7537,2886 is 1
LCM of denominators i.e. for 336,2091 is 234192.
Thus, GCF of Fractions is 1/234192.Finally, GCF of Fractions for 7537/336, 2886/2091 is 1/234192.