Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/44,78/25,479/949
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 70,78,479
Greatest Common Factor of Numerators i.e. GCF of 70,78,479 is 1 .
LCM of Denominators means LCM of 44,25,949 as per the given fractions.
LCM of 44,25,949 is 1043900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,78,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 70,78,479 . The biggest common factor number is the GCF number.
So the greatest common factor 70,78,479 is 1.
Lets's calculate LCM of 44,25,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1043900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043900
Therefore, the GCF of Fractions 70/44,78/25,479/949 is 1/1043900
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 44,25,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,25,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,25,949) x common factors =1 x 1 = 1
LCM(44,25,949) = ( 44 × 25 × 949 ) / 1
LCM(44,25,949) = 1043900 / 1
LCM(44,25,949) = 1043900
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 70/44, 78/25, 479/949?
Answer: GCF of Numerators as per given numbers 70/44, 78/25, 479/949 is
GCF of Numerators i.e. for 70,78,479 is 1
LCM of denominators i.e. for 44,25,949 is 1043900.
Thus, GCF of Fractions is 1/1043900.Finally, GCF of Fractions for 70/44, 78/25, 479/949 is 1/1043900.