Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8042/958,8880/947
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 8042,8880
Greatest Common Factor of Numerators i.e. GCF of 8042,8880 is 2 .
LCM of Denominators means LCM of 958,947 as per the given fractions.
LCM of 958,947 is 907226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8042,8880
2 | 8042, 8880 |
4021, 4440 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8042
List of positive integer factors of 8042 that divides 8042 without a remainder.
1,2,4021,8042
Factors of 8880
List of positive integer factors of 8880 that divides 8880 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 8042,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 8042,8880 is 2.
Lets's calculate LCM of 958,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 907226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/907226
Therefore, the GCF of Fractions 8042/958,8880/947 is 2/907226
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 958,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,947) x common factors =1 x 1 = 1
LCM(958,947) = ( 958 × 947 ) / 1
LCM(958,947) = 907226 / 1
LCM(958,947) = 907226
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 8042/958, 8880/947?
Answer: GCF of Numerators as per given numbers 8042/958, 8880/947 is
GCF of Numerators i.e. for 8042,8880 is 2
LCM of denominators i.e. for 958,947 is 907226.
Thus, GCF of Fractions is 2/907226.Finally, GCF of Fractions for 8042/958, 8880/947 is 2/907226.