GCF of 2626/564, 3081/7586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2626/564, 3081/7586 i.e 13/2139252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2626/564, 3081/7586.
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 2626/564,3081/7586?
Given fractions are 2626/564,3081/7586
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 2626/564,3081/7586, numerators are 2626,3081
Denominators are 564,7586
The GCF of 2626,3081 is 13 .
LCM of 564,7586 is 2139252.
The greatest common factor of 2626/564,3081/7586 = [GCF of 2626,3081]/[LCM of 564,7586]= 13/2139252
Therefore, the GCF of 2626/564,3081/7586 is 13/2139252.
To find the highest common factor of 2626,3081, we have to find the factors of both numbers and list the highest common factor.
The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626
The factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081
The HCF of 2626,3081 is 13.
Lets's calculate GCF of 2626,3081
| 13 | 2626, 3081 |
| 202, 237 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2626,3081 By Matching Biggest Common Factor Method
Now, list down the factors of 2626
:1,2,13,26,101,202,1313,2626
Now, list down the factors of 3081
:1,3,13,39,79,237,1027,3081
Greatest Common Factor
We found the factors 2626,3081 . The biggest common factor number is the GCF number.
So the greatest common factor 2626,3081 is 13.
Lets's calculate LCM of 564,7586
| 2 | 564, 7586 |
| 282, 3793 |
∴ So the LCM of the given numbers is 2 x 282 x 3793 = 2139252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2139252
Therefore, the GCF of Fractions 2626/564,3081/7586 is 13/2139252
Least Common Multiple of 564,7586 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 564,7586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,7586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,7586) x common factors =2 x 1 = 2
LCM(564,7586) = ( 564 × 7586 ) / 2
LCM(564,7586) = 4278504 / 2
LCM(564,7586) = 2139252
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2626/564, 3081/7586
1. What is the HCF of 2626,3081?
The HCF of 2626,3081 is 13
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 2626/564, 3081/7586?
Answer: GCF of Numerators as per given numbers 2626/564, 3081/7586 is
GCF of Numerators i.e. for 2626,3081 is 13
LCM of denominators i.e. for 564,7586 is 2139252.
Thus, GCF of Fractions is 13/2139252.Finally, GCF of Fractions for 2626/564, 3081/7586 is 13/2139252.