GCF of 135/99, 474/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 135/99, 474/931 i.e 3/92169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/99, 474/931.
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 135/99,474/931?
Given fractions are 135/99,474/931
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 135/99,474/931, numerators are 135,474
Denominators are 99,931
The GCF of 135,474 is 3 .
LCM of 99,931 is 92169.
The greatest common factor of 135/99,474/931 = [GCF of 135,474]/[LCM of 99,931]= 3/92169
Therefore, the GCF of 135/99,474/931 is 3/92169.
To find the highest common factor of 135,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 135,474 is 3.
Lets's calculate GCF of 135,474
| 3 | 135, 474 |
| 45, 158 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 135,474 By Matching Biggest Common Factor Method
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 135,474 . The biggest common factor number is the GCF number.
So the greatest common factor 135,474 is 3.
Lets's calculate LCM of 99,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 92169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92169
Therefore, the GCF of Fractions 135/99,474/931 is 3/92169
Least Common Multiple of 99,931 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 99,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,931) x common factors =1 x 1 = 1
LCM(99,931) = ( 99 × 931 ) / 1
LCM(99,931) = 92169 / 1
LCM(99,931) = 92169
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FAQs on GCF of Fractions of 135/99, 474/931
1. What is the HCF of 135,474?
The HCF of 135,474 is 3
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 135/99, 474/931?
Answer: GCF of Numerators as per given numbers 135/99, 474/931 is
GCF of Numerators i.e. for 135,474 is 3
LCM of denominators i.e. for 99,931 is 92169.
Thus, GCF of Fractions is 3/92169.Finally, GCF of Fractions for 135/99, 474/931 is 3/92169.