GCF of 10/137, 85/229, 176/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 10/137, 85/229, 176/954 i.e 1/29929842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/137, 85/229, 176/954.
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 10/137,85/229,176/954?
Given fractions are 10/137,85/229,176/954
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 10/137,85/229,176/954, numerators are 10,85,176
Denominators are 137,229,954
The GCF of 10,85,176 is 1 .
LCM of 137,229,954 is 29929842.
The greatest common factor of 10/137,85/229,176/954 = [GCF of 10,85,176]/[LCM of 137,229,954]= 1/29929842
Therefore, the GCF of 10/137,85/229,176/954 is 1/29929842.
To find the highest common factor of 10,85,176, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 85 are 1, 5, 17, 85
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 10,85,176 is 1.
Lets's calculate GCF of 10,85,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 10,85,176 By Matching Biggest Common Factor Method
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 10,85,176 . The biggest common factor number is the GCF number.
So the greatest common factor 10,85,176 is 1.
Lets's calculate LCM of 137,229,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 29929842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29929842
Therefore, the GCF of Fractions 10/137,85/229,176/954 is 1/29929842
Least Common Multiple of 137,229,954 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 137,229,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,229,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,229,954) x common factors =1 x 1 = 1
LCM(137,229,954) = ( 137 × 229 × 954 ) / 1
LCM(137,229,954) = 29929842 / 1
LCM(137,229,954) = 29929842
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 10/137, 85/229, 176/954
1. What is the HCF of 10,85,176?
The HCF of 10,85,176 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 10/137, 85/229, 176/954?
Answer: GCF of Numerators as per given numbers 10/137, 85/229, 176/954 is
GCF of Numerators i.e. for 10,85,176 is 1
LCM of denominators i.e. for 137,229,954 is 29929842.
Thus, GCF of Fractions is 1/29929842.Finally, GCF of Fractions for 10/137, 85/229, 176/954 is 1/29929842.