GCF of 25/954, 99/150, 155/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/954, 99/150, 155/629 i.e 1/15001650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/954, 99/150, 155/629.
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 25/954,99/150,155/629?
Given fractions are 25/954,99/150,155/629
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 25/954,99/150,155/629, numerators are 25,99,155
Denominators are 954,150,629
The GCF of 25,99,155 is 1 .
LCM of 954,150,629 is 15001650.
The greatest common factor of 25/954,99/150,155/629 = [GCF of 25,99,155]/[LCM of 954,150,629]= 1/15001650
Therefore, the GCF of 25/954,99/150,155/629 is 1/15001650.
To find the highest common factor of 25,99,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 155 are 1, 5, 31, 155
The HCF of 25,99,155 is 1.
Lets's calculate GCF of 25,99,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,99,155 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 25,99,155 . The biggest common factor number is the GCF number.
So the greatest common factor 25,99,155 is 1.
Lets's calculate LCM of 954,150,629
| 2 | 954, 150, 629 |
| 3 | 477, 75, 629 |
| 159, 25, 629 |
∴ So the LCM of the given numbers is 2 x 3 x 159 x 25 x 629 = 15001650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15001650
Therefore, the GCF of Fractions 25/954,99/150,155/629 is 1/15001650
Least Common Multiple of 954,150,629 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 954,150,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,150,629) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(954,150,629) x common factors =1 x 6 = 6
LCM(954,150,629) = ( 954 × 150 × 629 ) / 6
LCM(954,150,629) = 90009900 / 6
LCM(954,150,629) = 15001650
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FAQs on GCF of Fractions of 25/954, 99/150, 155/629
1. What is the HCF of 25,99,155?
The HCF of 25,99,155 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 25/954, 99/150, 155/629?
Answer: GCF of Numerators as per given numbers 25/954, 99/150, 155/629 is
GCF of Numerators i.e. for 25,99,155 is 1
LCM of denominators i.e. for 954,150,629 is 15001650.
Thus, GCF of Fractions is 1/15001650.Finally, GCF of Fractions for 25/954, 99/150, 155/629 is 1/15001650.