Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/92,663/89,574/436
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 950,663,574
Greatest Common Factor of Numerators i.e. GCF of 950,663,574 is 1 .
LCM of Denominators means LCM of 92,89,436 as per the given fractions.
LCM of 92,89,436 is 892492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 950,663,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 950,663,574 . The biggest common factor number is the GCF number.
So the greatest common factor 950,663,574 is 1.
Lets's calculate LCM of 92,89,436
2 | 92, 89, 436 |
2 | 46, 89, 218 |
23, 89, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 89 x 109 = 892492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/892492
Therefore, the GCF of Fractions 950/92,663/89,574/436 is 1/892492
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 92,89,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,89,436) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,89,436) x common factors =1 x 4 = 4
LCM(92,89,436) = ( 92 × 89 × 436 ) / 4
LCM(92,89,436) = 3569968 / 4
LCM(92,89,436) = 892492
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 950/92, 663/89, 574/436?
Answer: GCF of Numerators as per given numbers 950/92, 663/89, 574/436 is
GCF of Numerators i.e. for 950,663,574 is 1
LCM of denominators i.e. for 92,89,436 is 892492.
Thus, GCF of Fractions is 1/892492.Finally, GCF of Fractions for 950/92, 663/89, 574/436 is 1/892492.