Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/52,574/52,371/94
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 70,574,371
Greatest Common Factor of Numerators i.e. GCF of 70,574,371 is 7 .
LCM of Denominators means LCM of 52,52,94 as per the given fractions.
LCM of 52,52,94 is 2444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,574,371
7 | 70, 574, 371 |
10, 82, 53 |
∴ So the GCF of the given numbers is 7 = 7
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 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 70,574,371 . The biggest common factor number is the GCF number.
So the greatest common factor 70,574,371 is 7.
Lets's calculate LCM of 52,52,94
2 | 52, 52, 94 |
2 | 26, 26, 47 |
13 | 13, 13, 47 |
1, 1, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 1 x 47 = 2444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2444
Therefore, the GCF of Fractions 70/52,574/52,371/94 is 7/2444
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 52,52,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,52,94) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(52,52,94) x common factors =2 x 52 = 104
LCM(52,52,94) = ( 52 × 52 × 94 ) / 104
LCM(52,52,94) = 254176 / 104
LCM(52,52,94) = 2444
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 70/52, 574/52, 371/94?
Answer: GCF of Numerators as per given numbers 70/52, 574/52, 371/94 is
GCF of Numerators i.e. for 70,574,371 is 7
LCM of denominators i.e. for 52,52,94 is 2444.
Thus, GCF of Fractions is 7/2444.Finally, GCF of Fractions for 70/52, 574/52, 371/94 is 7/2444.