GCF of 62/291, 119/673, 132/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/291, 119/673, 132/986 i.e 1/193101198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/291, 119/673, 132/986.
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 62/291,119/673,132/986?
Given fractions are 62/291,119/673,132/986
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 62/291,119/673,132/986, numerators are 62,119,132
Denominators are 291,673,986
The GCF of 62,119,132 is 1 .
LCM of 291,673,986 is 193101198.
The greatest common factor of 62/291,119/673,132/986 = [GCF of 62,119,132]/[LCM of 291,673,986]= 1/193101198
Therefore, the GCF of 62/291,119/673,132/986 is 1/193101198.
To find the highest common factor of 62,119,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 119 are 1, 7, 17, 119
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 62,119,132 is 1.
Lets's calculate GCF of 62,119,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,119,132 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 119
:1,7,17,119
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 62,119,132 . The biggest common factor number is the GCF number.
So the greatest common factor 62,119,132 is 1.
Lets's calculate LCM of 291,673,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 193101198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193101198
Therefore, the GCF of Fractions 62/291,119/673,132/986 is 1/193101198
Least Common Multiple of 291,673,986 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 291,673,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,673,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,673,986) x common factors =1 x 1 = 1
LCM(291,673,986) = ( 291 × 673 × 986 ) / 1
LCM(291,673,986) = 193101198 / 1
LCM(291,673,986) = 193101198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 62/291, 119/673, 132/986
1. What is the HCF of 62,119,132?
The HCF of 62,119,132 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 62/291, 119/673, 132/986?
Answer: GCF of Numerators as per given numbers 62/291, 119/673, 132/986 is
GCF of Numerators i.e. for 62,119,132 is 1
LCM of denominators i.e. for 291,673,986 is 193101198.
Thus, GCF of Fractions is 1/193101198.Finally, GCF of Fractions for 62/291, 119/673, 132/986 is 1/193101198.