GCF of 132/69, 117/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 132/69, 117/359 i.e 3/24771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/69, 117/359.
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 132/69,117/359?
Given fractions are 132/69,117/359
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 132/69,117/359, numerators are 132,117
Denominators are 69,359
The GCF of 132,117 is 3 .
LCM of 69,359 is 24771.
The greatest common factor of 132/69,117/359 = [GCF of 132,117]/[LCM of 69,359]= 3/24771
Therefore, the GCF of 132/69,117/359 is 3/24771.
To find the highest common factor of 132,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 132,117 is 3.
Lets's calculate GCF of 132,117
| 3 | 132, 117 |
| 44, 39 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 132,117 By Matching Biggest Common Factor Method
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 132,117 . The biggest common factor number is the GCF number.
So the greatest common factor 132,117 is 3.
Lets's calculate LCM of 69,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 24771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24771
Therefore, the GCF of Fractions 132/69,117/359 is 3/24771
Least Common Multiple of 69,359 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 69,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,359) x common factors =1 x 1 = 1
LCM(69,359) = ( 69 × 359 ) / 1
LCM(69,359) = 24771 / 1
LCM(69,359) = 24771
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 132/69, 117/359
1. What is the HCF of 132,117?
The HCF of 132,117 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 132/69, 117/359?
Answer: GCF of Numerators as per given numbers 132/69, 117/359 is
GCF of Numerators i.e. for 132,117 is 3
LCM of denominators i.e. for 69,359 is 24771.
Thus, GCF of Fractions is 3/24771.Finally, GCF of Fractions for 132/69, 117/359 is 3/24771.