GCF of 2170/547, 9966/2568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2170/547, 9966/2568 i.e 2/1404696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2170/547, 9966/2568.
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 2170/547,9966/2568?
Given fractions are 2170/547,9966/2568
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 2170/547,9966/2568, numerators are 2170,9966
Denominators are 547,2568
The GCF of 2170,9966 is 2 .
LCM of 547,2568 is 1404696.
The greatest common factor of 2170/547,9966/2568 = [GCF of 2170,9966]/[LCM of 547,2568]= 2/1404696
Therefore, the GCF of 2170/547,9966/2568 is 2/1404696.
To find the highest common factor of 2170,9966, we have to find the factors of both numbers and list the highest common factor.
The factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The HCF of 2170,9966 is 2.
Lets's calculate GCF of 2170,9966
| 2 | 2170, 9966 |
| 1085, 4983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2170,9966 By Matching Biggest Common Factor Method
Now, list down the factors of 2170
:1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 2170,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 2170,9966 is 2.
Lets's calculate LCM of 547,2568
Given numbers has no common factors except 1. So, there LCM is their product i.e 1404696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1404696
Therefore, the GCF of Fractions 2170/547,9966/2568 is 2/1404696
Least Common Multiple of 547,2568 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 547,2568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,2568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,2568) x common factors =1 x 1 = 1
LCM(547,2568) = ( 547 × 2568 ) / 1
LCM(547,2568) = 1404696 / 1
LCM(547,2568) = 1404696
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FAQs on GCF of Fractions of 2170/547, 9966/2568
1. What is the HCF of 2170,9966?
The HCF of 2170,9966 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 2170/547, 9966/2568?
Answer: GCF of Numerators as per given numbers 2170/547, 9966/2568 is
GCF of Numerators i.e. for 2170,9966 is 2
LCM of denominators i.e. for 547,2568 is 1404696.
Thus, GCF of Fractions is 2/1404696.Finally, GCF of Fractions for 2170/547, 9966/2568 is 2/1404696.