GCF of 5340/379, 1580/9891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5340/379, 1580/9891 i.e 20/3748689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5340/379, 1580/9891.
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 5340/379,1580/9891?
Given fractions are 5340/379,1580/9891
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 5340/379,1580/9891, numerators are 5340,1580
Denominators are 379,9891
The GCF of 5340,1580 is 20 .
LCM of 379,9891 is 3748689.
The greatest common factor of 5340/379,1580/9891 = [GCF of 5340,1580]/[LCM of 379,9891]= 20/3748689
Therefore, the GCF of 5340/379,1580/9891 is 20/3748689.
To find the highest common factor of 5340,1580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The HCF of 5340,1580 is 20.
Lets's calculate GCF of 5340,1580
| 2 | 5340, 1580 |
| 2 | 2670, 790 |
| 5 | 1335, 395 |
| 267, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5340,1580 By Matching Biggest Common Factor Method
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Greatest Common Factor
We found the factors 5340,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 5340,1580 is 20.
Lets's calculate LCM of 379,9891
Given numbers has no common factors except 1. So, there LCM is their product i.e 3748689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3748689
Therefore, the GCF of Fractions 5340/379,1580/9891 is 20/3748689
Least Common Multiple of 379,9891 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 379,9891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,9891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,9891) x common factors =1 x 1 = 1
LCM(379,9891) = ( 379 × 9891 ) / 1
LCM(379,9891) = 3748689 / 1
LCM(379,9891) = 3748689
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FAQs on GCF of Fractions of 5340/379, 1580/9891
1. What is the HCF of 5340,1580?
The HCF of 5340,1580 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 5340/379, 1580/9891?
Answer: GCF of Numerators as per given numbers 5340/379, 1580/9891 is
GCF of Numerators i.e. for 5340,1580 is 20
LCM of denominators i.e. for 379,9891 is 3748689.
Thus, GCF of Fractions is 20/3748689.Finally, GCF of Fractions for 5340/379, 1580/9891 is 20/3748689.