GCF of 2151/416, 9604/2110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2151/416, 9604/2110 i.e 1/438880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2151/416, 9604/2110.
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 2151/416,9604/2110?
Given fractions are 2151/416,9604/2110
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 2151/416,9604/2110, numerators are 2151,9604
Denominators are 416,2110
The GCF of 2151,9604 is 1 .
LCM of 416,2110 is 438880.
The greatest common factor of 2151/416,9604/2110 = [GCF of 2151,9604]/[LCM of 416,2110]= 1/438880
Therefore, the GCF of 2151/416,9604/2110 is 1/438880.
To find the highest common factor of 2151,9604, we have to find the factors of both numbers and list the highest common factor.
The factors of 2151 are 1, 3, 9, 239, 717, 2151
The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The HCF of 2151,9604 is 1.
Lets's calculate GCF of 2151,9604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2151,9604 By Matching Biggest Common Factor Method
Now, list down the factors of 2151
:1,3,9,239,717,2151
Now, list down the factors of 9604
:1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Greatest Common Factor
We found the factors 2151,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,9604 is 1.
Lets's calculate LCM of 416,2110
| 2 | 416, 2110 |
| 208, 1055 |
∴ So the LCM of the given numbers is 2 x 208 x 1055 = 438880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438880
Therefore, the GCF of Fractions 2151/416,9604/2110 is 1/438880
Least Common Multiple of 416,2110 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 416,2110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,2110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,2110) x common factors =2 x 1 = 2
LCM(416,2110) = ( 416 × 2110 ) / 2
LCM(416,2110) = 877760 / 2
LCM(416,2110) = 438880
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FAQs on GCF of Fractions of 2151/416, 9604/2110
1. What is the HCF of 2151,9604?
The HCF of 2151,9604 is 1
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 2151/416, 9604/2110?
Answer: GCF of Numerators as per given numbers 2151/416, 9604/2110 is
GCF of Numerators i.e. for 2151,9604 is 1
LCM of denominators i.e. for 416,2110 is 438880.
Thus, GCF of Fractions is 1/438880.Finally, GCF of Fractions for 2151/416, 9604/2110 is 1/438880.