GCF of 655/115, 1142/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/115, 1142/132 i.e 1/15180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/115, 1142/132.
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 655/115,1142/132?
Given fractions are 655/115,1142/132
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 655/115,1142/132, numerators are 655,1142
Denominators are 115,132
The GCF of 655,1142 is 1 .
LCM of 115,132 is 15180.
The greatest common factor of 655/115,1142/132 = [GCF of 655,1142]/[LCM of 115,132]= 1/15180
Therefore, the GCF of 655/115,1142/132 is 1/15180.
To find the highest common factor of 655,1142, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 1142 are 1, 2, 571, 1142
The HCF of 655,1142 is 1.
Lets's calculate GCF of 655,1142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 655,1142 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 1142
:1,2,571,1142
Greatest Common Factor
We found the factors 655,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 655,1142 is 1.
Lets's calculate LCM of 115,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 15180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15180
Therefore, the GCF of Fractions 655/115,1142/132 is 1/15180
Least Common Multiple of 115,132 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 115,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,132) x common factors =1 x 1 = 1
LCM(115,132) = ( 115 × 132 ) / 1
LCM(115,132) = 15180 / 1
LCM(115,132) = 15180
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FAQs on GCF of Fractions of 655/115, 1142/132
1. What is the HCF of 655,1142?
The HCF of 655,1142 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 655/115, 1142/132?
Answer: GCF of Numerators as per given numbers 655/115, 1142/132 is
GCF of Numerators i.e. for 655,1142 is 1
LCM of denominators i.e. for 115,132 is 15180.
Thus, GCF of Fractions is 1/15180.Finally, GCF of Fractions for 655/115, 1142/132 is 1/15180.