GCF of 378/71, 151/12, 731/55
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 378/71, 151/12, 731/55 i.e 1/46860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 378/71, 151/12, 731/55.
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 378/71,151/12,731/55?
Given fractions are 378/71,151/12,731/55
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 378/71,151/12,731/55, numerators are 378,151,731
Denominators are 71,12,55
The GCF of 378,151,731 is 1 .
LCM of 71,12,55 is 46860.
The greatest common factor of 378/71,151/12,731/55 = [GCF of 378,151,731]/[LCM of 71,12,55]= 1/46860
Therefore, the GCF of 378/71,151/12,731/55 is 1/46860.
To find the highest common factor of 378,151,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The factors of 151 are 1, 151
The factors of 731 are 1, 17, 43, 731
The HCF of 378,151,731 is 1.
Lets's calculate GCF of 378,151,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 378,151,731 By Matching Biggest Common Factor Method
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Now, list down the factors of 151
:1,151
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 378,151,731 . The biggest common factor number is the GCF number.
So the greatest common factor 378,151,731 is 1.
Lets's calculate LCM of 71,12,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 46860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46860
Therefore, the GCF of Fractions 378/71,151/12,731/55 is 1/46860
Least Common Multiple of 71,12,55 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 71,12,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,12,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,12,55) x common factors =1 x 1 = 1
LCM(71,12,55) = ( 71 × 12 × 55 ) / 1
LCM(71,12,55) = 46860 / 1
LCM(71,12,55) = 46860
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FAQs on GCF of Fractions of 378/71, 151/12, 731/55
1. What is the HCF of 378,151,731?
The HCF of 378,151,731 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 378/71, 151/12, 731/55?
Answer: GCF of Numerators as per given numbers 378/71, 151/12, 731/55 is
GCF of Numerators i.e. for 378,151,731 is 1
LCM of denominators i.e. for 71,12,55 is 46860.
Thus, GCF of Fractions is 1/46860.Finally, GCF of Fractions for 378/71, 151/12, 731/55 is 1/46860.