GCF of 7990/260, 7021/1598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7990/260, 7021/1598 i.e 17/207740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7990/260, 7021/1598.
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 7990/260,7021/1598?
Given fractions are 7990/260,7021/1598
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 7990/260,7021/1598, numerators are 7990,7021
Denominators are 260,1598
The GCF of 7990,7021 is 17 .
LCM of 260,1598 is 207740.
The greatest common factor of 7990/260,7021/1598 = [GCF of 7990,7021]/[LCM of 260,1598]= 17/207740
Therefore, the GCF of 7990/260,7021/1598 is 17/207740.
To find the highest common factor of 7990,7021, we have to find the factors of both numbers and list the highest common factor.
The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The HCF of 7990,7021 is 17.
Lets's calculate GCF of 7990,7021
| 17 | 7990, 7021 |
| 470, 413 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7990,7021 By Matching Biggest Common Factor Method
Now, list down the factors of 7990
:1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Greatest Common Factor
We found the factors 7990,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,7021 is 17.
Lets's calculate LCM of 260,1598
| 2 | 260, 1598 |
| 130, 799 |
∴ So the LCM of the given numbers is 2 x 130 x 799 = 207740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/207740
Therefore, the GCF of Fractions 7990/260,7021/1598 is 17/207740
Least Common Multiple of 260,1598 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 260,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,1598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,1598) x common factors =2 x 1 = 2
LCM(260,1598) = ( 260 × 1598 ) / 2
LCM(260,1598) = 415480 / 2
LCM(260,1598) = 207740
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FAQs on GCF of Fractions of 7990/260, 7021/1598
1. What is the HCF of 7990,7021?
The HCF of 7990,7021 is 17
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 7990/260, 7021/1598?
Answer: GCF of Numerators as per given numbers 7990/260, 7021/1598 is
GCF of Numerators i.e. for 7990,7021 is 17
LCM of denominators i.e. for 260,1598 is 207740.
Thus, GCF of Fractions is 17/207740.Finally, GCF of Fractions for 7990/260, 7021/1598 is 17/207740.