GCF of 170/96, 451/55, 952/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 170/96, 451/55, 952/144 i.e 1/15840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 170/96, 451/55, 952/144.
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 170/96,451/55,952/144?
Given fractions are 170/96,451/55,952/144
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 170/96,451/55,952/144, numerators are 170,451,952
Denominators are 96,55,144
The GCF of 170,451,952 is 1 .
LCM of 96,55,144 is 15840.
The greatest common factor of 170/96,451/55,952/144 = [GCF of 170,451,952]/[LCM of 96,55,144]= 1/15840
Therefore, the GCF of 170/96,451/55,952/144 is 1/15840.
To find the highest common factor of 170,451,952, we have to find the factors of both numbers and list the highest common factor.
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The factors of 451 are 1, 11, 41, 451
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The HCF of 170,451,952 is 1.
Lets's calculate GCF of 170,451,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 170,451,952 By Matching Biggest Common Factor Method
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 170,451,952 . The biggest common factor number is the GCF number.
So the greatest common factor 170,451,952 is 1.
Lets's calculate LCM of 96,55,144
| 2 | 96, 55, 144 |
| 2 | 48, 55, 72 |
| 2 | 24, 55, 36 |
| 2 | 12, 55, 18 |
| 3 | 6, 55, 9 |
| 2, 55, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 55 x 3 = 15840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15840
Therefore, the GCF of Fractions 170/96,451/55,952/144 is 1/15840
Least Common Multiple of 96,55,144 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 96,55,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,55,144) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(96,55,144) x common factors =1 x 48 = 48
LCM(96,55,144) = ( 96 × 55 × 144 ) / 48
LCM(96,55,144) = 760320 / 48
LCM(96,55,144) = 15840
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FAQs on GCF of Fractions of 170/96, 451/55, 952/144
1. What is the HCF of 170,451,952?
The HCF of 170,451,952 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 170/96, 451/55, 952/144?
Answer: GCF of Numerators as per given numbers 170/96, 451/55, 952/144 is
GCF of Numerators i.e. for 170,451,952 is 1
LCM of denominators i.e. for 96,55,144 is 15840.
Thus, GCF of Fractions is 1/15840.Finally, GCF of Fractions for 170/96, 451/55, 952/144 is 1/15840.