Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/70,835/60,997/30
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 757,835,997
Greatest Common Factor of Numerators i.e. GCF of 757,835,997 is 1 .
LCM of Denominators means LCM of 70,60,30 as per the given fractions.
LCM of 70,60,30 is 420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 757,835,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 757,835,997 . The biggest common factor number is the GCF number.
So the greatest common factor 757,835,997 is 1.
Lets's calculate LCM of 70,60,30
2 | 70, 60, 30 |
3 | 35, 30, 15 |
5 | 35, 10, 5 |
7, 2, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 2 x 1 = 420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420
Therefore, the GCF of Fractions 757/70,835/60,997/30 is 1/420
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 70,60,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,60,30) = 10
common factors(in case of two or more numbers have common factors) = 30
GCF(70,60,30) x common factors =10 x 30 = 300
LCM(70,60,30) = ( 70 × 60 × 30 ) / 300
LCM(70,60,30) = 126000 / 300
LCM(70,60,30) = 420
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 757/70, 835/60, 997/30?
Answer: GCF of Numerators as per given numbers 757/70, 835/60, 997/30 is
GCF of Numerators i.e. for 757,835,997 is 1
LCM of denominators i.e. for 70,60,30 is 420.
Thus, GCF of Fractions is 1/420.Finally, GCF of Fractions for 757/70, 835/60, 997/30 is 1/420.