GCF of 9860/764, 7914/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9860/764, 7914/521 i.e 2/398044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9860/764, 7914/521.
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 9860/764,7914/521?
Given fractions are 9860/764,7914/521
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 9860/764,7914/521, numerators are 9860,7914
Denominators are 764,521
The GCF of 9860,7914 is 2 .
LCM of 764,521 is 398044.
The greatest common factor of 9860/764,7914/521 = [GCF of 9860,7914]/[LCM of 764,521]= 2/398044
Therefore, the GCF of 9860/764,7914/521 is 2/398044.
To find the highest common factor of 9860,7914, we have to find the factors of both numbers and list the highest common factor.
The factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860
The factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914
The HCF of 9860,7914 is 2.
Lets's calculate GCF of 9860,7914
| 2 | 9860, 7914 |
| 4930, 3957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9860,7914 By Matching Biggest Common Factor Method
Now, list down the factors of 9860
:1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Now, list down the factors of 7914
:1,2,3,6,1319,2638,3957,7914
Greatest Common Factor
We found the factors 9860,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 9860,7914 is 2.
Lets's calculate LCM of 764,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 398044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398044
Therefore, the GCF of Fractions 9860/764,7914/521 is 2/398044
Least Common Multiple of 764,521 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 764,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,521) x common factors =1 x 1 = 1
LCM(764,521) = ( 764 × 521 ) / 1
LCM(764,521) = 398044 / 1
LCM(764,521) = 398044
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FAQs on GCF of Fractions of 9860/764, 7914/521
1. What is the HCF of 9860,7914?
The HCF of 9860,7914 is 2
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 9860/764, 7914/521?
Answer: GCF of Numerators as per given numbers 9860/764, 7914/521 is
GCF of Numerators i.e. for 9860,7914 is 2
LCM of denominators i.e. for 764,521 is 398044.
Thus, GCF of Fractions is 2/398044.Finally, GCF of Fractions for 9860/764, 7914/521 is 2/398044.