Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/25,96/54,984/769
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 70,96,984
Greatest Common Factor of Numerators i.e. GCF of 70,96,984 is 2 .
LCM of Denominators means LCM of 25,54,769 as per the given fractions.
LCM of 25,54,769 is 1038150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,96,984
2 | 70, 96, 984 |
35, 48, 492 |
∴ So the GCF of the given numbers is 2 = 2
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 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 70,96,984 . The biggest common factor number is the GCF number.
So the greatest common factor 70,96,984 is 2.
Lets's calculate LCM of 25,54,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 1038150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1038150
Therefore, the GCF of Fractions 70/25,96/54,984/769 is 2/1038150
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 25,54,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,54,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,54,769) x common factors =1 x 1 = 1
LCM(25,54,769) = ( 25 × 54 × 769 ) / 1
LCM(25,54,769) = 1038150 / 1
LCM(25,54,769) = 1038150
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 70/25, 96/54, 984/769?
Answer: GCF of Numerators as per given numbers 70/25, 96/54, 984/769 is
GCF of Numerators i.e. for 70,96,984 is 2
LCM of denominators i.e. for 25,54,769 is 1038150.
Thus, GCF of Fractions is 2/1038150.Finally, GCF of Fractions for 70/25, 96/54, 984/769 is 2/1038150.