Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 709/94,665/30,961/949
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 709,665,961
Greatest Common Factor of Numerators i.e. GCF of 709,665,961 is 1 .
LCM of Denominators means LCM of 94,30,949 as per the given fractions.
LCM of 94,30,949 is 1338090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 709,665,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Greatest Common Factor
We found the factors 709,665,961 . The biggest common factor number is the GCF number.
So the greatest common factor 709,665,961 is 1.
Lets's calculate LCM of 94,30,949
2 | 94, 30, 949 |
47, 15, 949 |
∴ So the LCM of the given numbers is 2 x 47 x 15 x 949 = 1338090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1338090
Therefore, the GCF of Fractions 709/94,665/30,961/949 is 1/1338090
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 94,30,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,30,949) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,30,949) x common factors =1 x 2 = 2
LCM(94,30,949) = ( 94 × 30 × 949 ) / 2
LCM(94,30,949) = 2676180 / 2
LCM(94,30,949) = 1338090
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 709/94, 665/30, 961/949?
Answer: GCF of Numerators as per given numbers 709/94, 665/30, 961/949 is
GCF of Numerators i.e. for 709,665,961 is 1
LCM of denominators i.e. for 94,30,949 is 1338090.
Thus, GCF of Fractions is 1/1338090.Finally, GCF of Fractions for 709/94, 665/30, 961/949 is 1/1338090.