GCF of 36/191, 50/477, 113/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/191, 50/477, 113/674 i.e 1/61406118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/191, 50/477, 113/674.
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 36/191,50/477,113/674?
Given fractions are 36/191,50/477,113/674
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 36/191,50/477,113/674, numerators are 36,50,113
Denominators are 191,477,674
The GCF of 36,50,113 is 1 .
LCM of 191,477,674 is 61406118.
The greatest common factor of 36/191,50/477,113/674 = [GCF of 36,50,113]/[LCM of 191,477,674]= 1/61406118
Therefore, the GCF of 36/191,50/477,113/674 is 1/61406118.
To find the highest common factor of 36,50,113, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 113 are 1, 113
The HCF of 36,50,113 is 1.
Lets's calculate GCF of 36,50,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,50,113 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 113
:1,113
Greatest Common Factor
We found the factors 36,50,113 . The biggest common factor number is the GCF number.
So the greatest common factor 36,50,113 is 1.
Lets's calculate LCM of 191,477,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 61406118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61406118
Therefore, the GCF of Fractions 36/191,50/477,113/674 is 1/61406118
Least Common Multiple of 191,477,674 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 191,477,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,477,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,477,674) x common factors =1 x 1 = 1
LCM(191,477,674) = ( 191 × 477 × 674 ) / 1
LCM(191,477,674) = 61406118 / 1
LCM(191,477,674) = 61406118
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FAQs on GCF of Fractions of 36/191, 50/477, 113/674
1. What is the HCF of 36,50,113?
The HCF of 36,50,113 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 36/191, 50/477, 113/674?
Answer: GCF of Numerators as per given numbers 36/191, 50/477, 113/674 is
GCF of Numerators i.e. for 36,50,113 is 1
LCM of denominators i.e. for 191,477,674 is 61406118.
Thus, GCF of Fractions is 1/61406118.Finally, GCF of Fractions for 36/191, 50/477, 113/674 is 1/61406118.