GCF of 151/57, 270/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 151/57, 270/315 i.e 1/5985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/57, 270/315.
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 151/57,270/315?
Given fractions are 151/57,270/315
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 151/57,270/315, numerators are 151,270
Denominators are 57,315
The GCF of 151,270 is 1 .
LCM of 57,315 is 5985.
The greatest common factor of 151/57,270/315 = [GCF of 151,270]/[LCM of 57,315]= 1/5985
Therefore, the GCF of 151/57,270/315 is 1/5985.
To find the highest common factor of 151,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 151 are 1, 151
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 151,270 is 1.
Lets's calculate GCF of 151,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 151,270 By Matching Biggest Common Factor Method
Now, list down the factors of 151
:1,151
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 151,270 . The biggest common factor number is the GCF number.
So the greatest common factor 151,270 is 1.
Lets's calculate LCM of 57,315
| 3 | 57, 315 |
| 19, 105 |
∴ So the LCM of the given numbers is 3 x 19 x 105 = 5985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5985
Therefore, the GCF of Fractions 151/57,270/315 is 1/5985
Least Common Multiple of 57,315 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 57,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,315) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,315) x common factors =3 x 1 = 3
LCM(57,315) = ( 57 × 315 ) / 3
LCM(57,315) = 17955 / 3
LCM(57,315) = 5985
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FAQs on GCF of Fractions of 151/57, 270/315
1. What is the HCF of 151,270?
The HCF of 151,270 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 151/57, 270/315?
Answer: GCF of Numerators as per given numbers 151/57, 270/315 is
GCF of Numerators i.e. for 151,270 is 1
LCM of denominators i.e. for 57,315 is 5985.
Thus, GCF of Fractions is 1/5985.Finally, GCF of Fractions for 151/57, 270/315 is 1/5985.