Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/75,180/7666
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 700,180
Greatest Common Factor of Numerators i.e. GCF of 700,180 is 20 .
LCM of Denominators means LCM of 75,7666 as per the given fractions.
LCM of 75,7666 is 574950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,180
2 | 700, 180 |
2 | 350, 90 |
5 | 175, 45 |
35, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 700,180 . The biggest common factor number is the GCF number.
So the greatest common factor 700,180 is 20.
Lets's calculate LCM of 75,7666
Given numbers has no common factors except 1. So, there LCM is their product i.e 574950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/574950
Therefore, the GCF of Fractions 700/75,180/7666 is 20/574950
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 75,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,7666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,7666) x common factors =1 x 1 = 1
LCM(75,7666) = ( 75 × 7666 ) / 1
LCM(75,7666) = 574950 / 1
LCM(75,7666) = 574950
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 700/75, 180/7666?
Answer: GCF of Numerators as per given numbers 700/75, 180/7666 is
GCF of Numerators i.e. for 700,180 is 20
LCM of denominators i.e. for 75,7666 is 574950.
Thus, GCF of Fractions is 20/574950.Finally, GCF of Fractions for 700/75, 180/7666 is 20/574950.