GCF of 7890/598, 2065/7262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7890/598, 2065/7262 i.e 5/2171338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7890/598, 2065/7262.
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 7890/598,2065/7262?
Given fractions are 7890/598,2065/7262
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 7890/598,2065/7262, numerators are 7890,2065
Denominators are 598,7262
The GCF of 7890,2065 is 5 .
LCM of 598,7262 is 2171338.
The greatest common factor of 7890/598,2065/7262 = [GCF of 7890,2065]/[LCM of 598,7262]= 5/2171338
Therefore, the GCF of 7890/598,2065/7262 is 5/2171338.
To find the highest common factor of 7890,2065, we have to find the factors of both numbers and list the highest common factor.
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The factors of 2065 are 1, 5, 7, 35, 59, 295, 413, 2065
The HCF of 7890,2065 is 5.
Lets's calculate GCF of 7890,2065
| 5 | 7890, 2065 |
| 1578, 413 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7890,2065 By Matching Biggest Common Factor Method
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Now, list down the factors of 2065
:1,5,7,35,59,295,413,2065
Greatest Common Factor
We found the factors 7890,2065 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,2065 is 5.
Lets's calculate LCM of 598,7262
| 2 | 598, 7262 |
| 299, 3631 |
∴ So the LCM of the given numbers is 2 x 299 x 3631 = 2171338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2171338
Therefore, the GCF of Fractions 7890/598,2065/7262 is 5/2171338
Least Common Multiple of 598,7262 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 598,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,7262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,7262) x common factors =2 x 1 = 2
LCM(598,7262) = ( 598 × 7262 ) / 2
LCM(598,7262) = 4342676 / 2
LCM(598,7262) = 2171338
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FAQs on GCF of Fractions of 7890/598, 2065/7262
1. What is the HCF of 7890,2065?
The HCF of 7890,2065 is 5
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 7890/598, 2065/7262?
Answer: GCF of Numerators as per given numbers 7890/598, 2065/7262 is
GCF of Numerators i.e. for 7890,2065 is 5
LCM of denominators i.e. for 598,7262 is 2171338.
Thus, GCF of Fractions is 5/2171338.Finally, GCF of Fractions for 7890/598, 2065/7262 is 5/2171338.