GCF of 30/97, 31/39, 474/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/97, 31/39, 474/153 i.e 1/192933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/97, 31/39, 474/153.
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 30/97,31/39,474/153?
Given fractions are 30/97,31/39,474/153
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 30/97,31/39,474/153, numerators are 30,31,474
Denominators are 97,39,153
The GCF of 30,31,474 is 1 .
LCM of 97,39,153 is 192933.
The greatest common factor of 30/97,31/39,474/153 = [GCF of 30,31,474]/[LCM of 97,39,153]= 1/192933
Therefore, the GCF of 30/97,31/39,474/153 is 1/192933.
To find the highest common factor of 30,31,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 31 are 1, 31
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 30,31,474 is 1.
Lets's calculate GCF of 30,31,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 30,31,474 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 31
:1,31
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 30,31,474 . The biggest common factor number is the GCF number.
So the greatest common factor 30,31,474 is 1.
Lets's calculate LCM of 97,39,153
| 3 | 97, 39, 153 |
| 97, 13, 51 |
∴ So the LCM of the given numbers is 3 x 97 x 13 x 51 = 192933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192933
Therefore, the GCF of Fractions 30/97,31/39,474/153 is 1/192933
Least Common Multiple of 97,39,153 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 97,39,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,39,153) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,39,153) x common factors =1 x 3 = 3
LCM(97,39,153) = ( 97 × 39 × 153 ) / 3
LCM(97,39,153) = 578799 / 3
LCM(97,39,153) = 192933
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FAQs on GCF of Fractions of 30/97, 31/39, 474/153
1. What is the HCF of 30,31,474?
The HCF of 30,31,474 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 30/97, 31/39, 474/153?
Answer: GCF of Numerators as per given numbers 30/97, 31/39, 474/153 is
GCF of Numerators i.e. for 30,31,474 is 1
LCM of denominators i.e. for 97,39,153 is 192933.
Thus, GCF of Fractions is 1/192933.Finally, GCF of Fractions for 30/97, 31/39, 474/153 is 1/192933.