Use our free GCF of Fractions Calculator tool to compute the GCF of 155/360, 959/646 i.e 1/116280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/360, 959/646.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/360,959/646
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 155/360,959/646, numerators are 155,959
Denominators are 360,646
The GCF of 155,959 is 1 .
LCM of 360,646 is 116280.
The greatest common factor of 155/360,959/646 = [GCF of 155,959]/[LCM of 360,646]= 1/116280
Therefore, the GCF of 155/360,959/646 is 1/116280.
To find the highest common factor of 155,959, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 959 are 1, 7, 137, 959
The HCF of 155,959 is 1.
Lets's calculate GCF of 155,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 959
:1,7,137,959
Greatest Common Factor
We found the factors 155,959 . The biggest common factor number is the GCF number.
So the greatest common factor 155,959 is 1.
Lets's calculate LCM of 360,646
2 | 360, 646 |
180, 323 |
∴ So the LCM of the given numbers is 2 x 180 x 323 = 116280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116280
Therefore, the GCF of Fractions 155/360,959/646 is 1/116280
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 360,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,646) x common factors =2 x 1 = 2
LCM(360,646) = ( 360 × 646 ) / 2
LCM(360,646) = 232560 / 2
LCM(360,646) = 116280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,959?
The HCF of 155,959 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 155/360, 959/646?
Answer: GCF of Numerators as per given numbers 155/360, 959/646 is
GCF of Numerators i.e. for 155,959 is 1
LCM of denominators i.e. for 360,646 is 116280.
Thus, GCF of Fractions is 1/116280.Finally, GCF of Fractions for 155/360, 959/646 is 1/116280.