GCF of 9980/959, 1460/2007
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9980/959, 1460/2007 i.e 20/1924713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9980/959, 1460/2007.
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 9980/959,1460/2007?
Given fractions are 9980/959,1460/2007
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 9980/959,1460/2007, numerators are 9980,1460
Denominators are 959,2007
The GCF of 9980,1460 is 20 .
LCM of 959,2007 is 1924713.
The greatest common factor of 9980/959,1460/2007 = [GCF of 9980,1460]/[LCM of 959,2007]= 20/1924713
Therefore, the GCF of 9980/959,1460/2007 is 20/1924713.
To find the highest common factor of 9980,1460, we have to find the factors of both numbers and list the highest common factor.
The factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The HCF of 9980,1460 is 20.
Lets's calculate GCF of 9980,1460
| 2 | 9980, 1460 |
| 2 | 4990, 730 |
| 5 | 2495, 365 |
| 499, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9980,1460 By Matching Biggest Common Factor Method
Now, list down the factors of 9980
:1,2,4,5,10,20,499,998,1996,2495,4990,9980
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Greatest Common Factor
We found the factors 9980,1460 . The biggest common factor number is the GCF number.
So the greatest common factor 9980,1460 is 20.
Lets's calculate LCM of 959,2007
Given numbers has no common factors except 1. So, there LCM is their product i.e 1924713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1924713
Therefore, the GCF of Fractions 9980/959,1460/2007 is 20/1924713
Least Common Multiple of 959,2007 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 959,2007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,2007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,2007) x common factors =1 x 1 = 1
LCM(959,2007) = ( 959 × 2007 ) / 1
LCM(959,2007) = 1924713 / 1
LCM(959,2007) = 1924713
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FAQs on GCF of Fractions of 9980/959, 1460/2007
1. What is the HCF of 9980,1460?
The HCF of 9980,1460 is 20
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 9980/959, 1460/2007?
Answer: GCF of Numerators as per given numbers 9980/959, 1460/2007 is
GCF of Numerators i.e. for 9980,1460 is 20
LCM of denominators i.e. for 959,2007 is 1924713.
Thus, GCF of Fractions is 20/1924713.Finally, GCF of Fractions for 9980/959, 1460/2007 is 20/1924713.