Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/449,689/315,895/984
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 941,689,895
Greatest Common Factor of Numerators i.e. GCF of 941,689,895 is 1 .
LCM of Denominators means LCM of 449,315,984 as per the given fractions.
LCM of 449,315,984 is 46390680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,689,895
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 941,689,895 . The biggest common factor number is the GCF number.
So the greatest common factor 941,689,895 is 1.
Lets's calculate LCM of 449,315,984
3 | 449, 315, 984 |
449, 105, 328 |
∴ So the LCM of the given numbers is 3 x 449 x 105 x 328 = 46390680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46390680
Therefore, the GCF of Fractions 941/449,689/315,895/984 is 1/46390680
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 449,315,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,315,984) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(449,315,984) x common factors =1 x 3 = 3
LCM(449,315,984) = ( 449 × 315 × 984 ) / 3
LCM(449,315,984) = 139172040 / 3
LCM(449,315,984) = 46390680
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 941/449, 689/315, 895/984?
Answer: GCF of Numerators as per given numbers 941/449, 689/315, 895/984 is
GCF of Numerators i.e. for 941,689,895 is 1
LCM of denominators i.e. for 449,315,984 is 46390680.
Thus, GCF of Fractions is 1/46390680.Finally, GCF of Fractions for 941/449, 689/315, 895/984 is 1/46390680.