GCF of 4581/286, 6837/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4581/286, 6837/8522 i.e 3/1218646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4581/286, 6837/8522.
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 4581/286,6837/8522?
Given fractions are 4581/286,6837/8522
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 4581/286,6837/8522, numerators are 4581,6837
Denominators are 286,8522
The GCF of 4581,6837 is 3 .
LCM of 286,8522 is 1218646.
The greatest common factor of 4581/286,6837/8522 = [GCF of 4581,6837]/[LCM of 286,8522]= 3/1218646
Therefore, the GCF of 4581/286,6837/8522 is 3/1218646.
To find the highest common factor of 4581,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 4581 are 1, 3, 9, 509, 1527, 4581
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 4581,6837 is 3.
Lets's calculate GCF of 4581,6837
| 3 | 4581, 6837 |
| 1527, 2279 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4581,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 4581
:1,3,9,509,1527,4581
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 4581,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 4581,6837 is 3.
Lets's calculate LCM of 286,8522
| 2 | 286, 8522 |
| 143, 4261 |
∴ So the LCM of the given numbers is 2 x 143 x 4261 = 1218646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1218646
Therefore, the GCF of Fractions 4581/286,6837/8522 is 3/1218646
Least Common Multiple of 286,8522 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 286,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,8522) x common factors =2 x 1 = 2
LCM(286,8522) = ( 286 × 8522 ) / 2
LCM(286,8522) = 2437292 / 2
LCM(286,8522) = 1218646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4581/286, 6837/8522
1. What is the HCF of 4581,6837?
The HCF of 4581,6837 is 3
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 4581/286, 6837/8522?
Answer: GCF of Numerators as per given numbers 4581/286, 6837/8522 is
GCF of Numerators i.e. for 4581,6837 is 3
LCM of denominators i.e. for 286,8522 is 1218646.
Thus, GCF of Fractions is 3/1218646.Finally, GCF of Fractions for 4581/286, 6837/8522 is 3/1218646.