GCF of 133/952, 906/654, 238/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 133/952, 906/654, 238/878 i.e 1/136662456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/952, 906/654, 238/878.
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 133/952,906/654,238/878?
Given fractions are 133/952,906/654,238/878
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 133/952,906/654,238/878, numerators are 133,906,238
Denominators are 952,654,878
The GCF of 133,906,238 is 1 .
LCM of 952,654,878 is 136662456.
The greatest common factor of 133/952,906/654,238/878 = [GCF of 133,906,238]/[LCM of 952,654,878]= 1/136662456
Therefore, the GCF of 133/952,906/654,238/878 is 1/136662456.
To find the highest common factor of 133,906,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 133,906,238 is 1.
Lets's calculate GCF of 133,906,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 133,906,238 By Matching Biggest Common Factor Method
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 133,906,238 . The biggest common factor number is the GCF number.
So the greatest common factor 133,906,238 is 1.
Lets's calculate LCM of 952,654,878
| 2 | 952, 654, 878 |
| 476, 327, 439 |
∴ So the LCM of the given numbers is 2 x 476 x 327 x 439 = 136662456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136662456
Therefore, the GCF of Fractions 133/952,906/654,238/878 is 1/136662456
Least Common Multiple of 952,654,878 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 952,654,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,654,878) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(952,654,878) x common factors =2 x 2 = 4
LCM(952,654,878) = ( 952 × 654 × 878 ) / 4
LCM(952,654,878) = 546649824 / 4
LCM(952,654,878) = 136662456
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FAQs on GCF of Fractions of 133/952, 906/654, 238/878
1. What is the HCF of 133,906,238?
The HCF of 133,906,238 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 133/952, 906/654, 238/878?
Answer: GCF of Numerators as per given numbers 133/952, 906/654, 238/878 is
GCF of Numerators i.e. for 133,906,238 is 1
LCM of denominators i.e. for 952,654,878 is 136662456.
Thus, GCF of Fractions is 1/136662456.Finally, GCF of Fractions for 133/952, 906/654, 238/878 is 1/136662456.