GCF of 2172/487, 1350/9696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2172/487, 1350/9696 i.e 6/4721952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2172/487, 1350/9696.
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 2172/487,1350/9696?
Given fractions are 2172/487,1350/9696
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 2172/487,1350/9696, numerators are 2172,1350
Denominators are 487,9696
The GCF of 2172,1350 is 6 .
LCM of 487,9696 is 4721952.
The greatest common factor of 2172/487,1350/9696 = [GCF of 2172,1350]/[LCM of 487,9696]= 6/4721952
Therefore, the GCF of 2172/487,1350/9696 is 6/4721952.
To find the highest common factor of 2172,1350, we have to find the factors of both numbers and list the highest common factor.
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The HCF of 2172,1350 is 6.
Lets's calculate GCF of 2172,1350
| 2 | 2172, 1350 |
| 3 | 1086, 675 |
| 362, 225 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2172,1350 By Matching Biggest Common Factor Method
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Greatest Common Factor
We found the factors 2172,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 2172,1350 is 6.
Lets's calculate LCM of 487,9696
Given numbers has no common factors except 1. So, there LCM is their product i.e 4721952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4721952
Therefore, the GCF of Fractions 2172/487,1350/9696 is 6/4721952
Least Common Multiple of 487,9696 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 487,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,9696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,9696) x common factors =1 x 1 = 1
LCM(487,9696) = ( 487 × 9696 ) / 1
LCM(487,9696) = 4721952 / 1
LCM(487,9696) = 4721952
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FAQs on GCF of Fractions of 2172/487, 1350/9696
1. What is the HCF of 2172,1350?
The HCF of 2172,1350 is 6
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 2172/487, 1350/9696?
Answer: GCF of Numerators as per given numbers 2172/487, 1350/9696 is
GCF of Numerators i.e. for 2172,1350 is 6
LCM of denominators i.e. for 487,9696 is 4721952.
Thus, GCF of Fractions is 6/4721952.Finally, GCF of Fractions for 2172/487, 1350/9696 is 6/4721952.