GCF of 2070/652, 9982/5791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2070/652, 9982/5791 i.e 46/3775732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2070/652, 9982/5791.
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 2070/652,9982/5791?
Given fractions are 2070/652,9982/5791
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 2070/652,9982/5791, numerators are 2070,9982
Denominators are 652,5791
The GCF of 2070,9982 is 46 .
LCM of 652,5791 is 3775732.
The greatest common factor of 2070/652,9982/5791 = [GCF of 2070,9982]/[LCM of 652,5791]= 46/3775732
Therefore, the GCF of 2070/652,9982/5791 is 46/3775732.
To find the highest common factor of 2070,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 2070,9982 is 46.
Lets's calculate GCF of 2070,9982
| 2 | 2070, 9982 |
| 23 | 1035, 4991 |
| 45, 217 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 2070,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 2070,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 2070,9982 is 46.
Lets's calculate LCM of 652,5791
Given numbers has no common factors except 1. So, there LCM is their product i.e 3775732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/3775732
Therefore, the GCF of Fractions 2070/652,9982/5791 is 46/3775732
Least Common Multiple of 652,5791 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 652,5791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,5791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,5791) x common factors =1 x 1 = 1
LCM(652,5791) = ( 652 × 5791 ) / 1
LCM(652,5791) = 3775732 / 1
LCM(652,5791) = 3775732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2070/652, 9982/5791
1. What is the HCF of 2070,9982?
The HCF of 2070,9982 is 46
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 2070/652, 9982/5791?
Answer: GCF of Numerators as per given numbers 2070/652, 9982/5791 is
GCF of Numerators i.e. for 2070,9982 is 46
LCM of denominators i.e. for 652,5791 is 3775732.
Thus, GCF of Fractions is 46/3775732.Finally, GCF of Fractions for 2070/652, 9982/5791 is 46/3775732.