Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/253,480/370
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 860,480
Greatest Common Factor of Numerators i.e. GCF of 860,480 is 20 .
LCM of Denominators means LCM of 253,370 as per the given fractions.
LCM of 253,370 is 93610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 860,480
2 | 860, 480 |
2 | 430, 240 |
5 | 215, 120 |
43, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 860,480 . The biggest common factor number is the GCF number.
So the greatest common factor 860,480 is 20.
Lets's calculate LCM of 253,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 93610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/93610
Therefore, the GCF of Fractions 860/253,480/370 is 20/93610
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 253,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,370) x common factors =1 x 1 = 1
LCM(253,370) = ( 253 × 370 ) / 1
LCM(253,370) = 93610 / 1
LCM(253,370) = 93610
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 860/253, 480/370?
Answer: GCF of Numerators as per given numbers 860/253, 480/370 is
GCF of Numerators i.e. for 860,480 is 20
LCM of denominators i.e. for 253,370 is 93610.
Thus, GCF of Fractions is 20/93610.Finally, GCF of Fractions for 860/253, 480/370 is 20/93610.