GCF of 5966/809, 2071/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5966/809, 2071/155 i.e 19/125395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5966/809, 2071/155.
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 5966/809,2071/155?
Given fractions are 5966/809,2071/155
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 5966/809,2071/155, numerators are 5966,2071
Denominators are 809,155
The GCF of 5966,2071 is 19 .
LCM of 809,155 is 125395.
The greatest common factor of 5966/809,2071/155 = [GCF of 5966,2071]/[LCM of 809,155]= 19/125395
Therefore, the GCF of 5966/809,2071/155 is 19/125395.
To find the highest common factor of 5966,2071, we have to find the factors of both numbers and list the highest common factor.
The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966
The factors of 2071 are 1, 19, 109, 2071
The HCF of 5966,2071 is 19.
Lets's calculate GCF of 5966,2071
| 19 | 5966, 2071 |
| 314, 109 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5966,2071 By Matching Biggest Common Factor Method
Now, list down the factors of 5966
:1,2,19,38,157,314,2983,5966
Now, list down the factors of 2071
:1,19,109,2071
Greatest Common Factor
We found the factors 5966,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 5966,2071 is 19.
Lets's calculate LCM of 809,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 125395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/125395
Therefore, the GCF of Fractions 5966/809,2071/155 is 19/125395
Least Common Multiple of 809,155 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 809,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,155) x common factors =1 x 1 = 1
LCM(809,155) = ( 809 × 155 ) / 1
LCM(809,155) = 125395 / 1
LCM(809,155) = 125395
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FAQs on GCF of Fractions of 5966/809, 2071/155
1. What is the HCF of 5966,2071?
The HCF of 5966,2071 is 19
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 5966/809, 2071/155?
Answer: GCF of Numerators as per given numbers 5966/809, 2071/155 is
GCF of Numerators i.e. for 5966,2071 is 19
LCM of denominators i.e. for 809,155 is 125395.
Thus, GCF of Fractions is 19/125395.Finally, GCF of Fractions for 5966/809, 2071/155 is 19/125395.