Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/73,89/80,98/77,49/584
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 24,89,98,49
Greatest Common Factor of Numerators i.e. GCF of 24,89,98,49 is 1 .
LCM of Denominators means LCM of 73,80,77,584 as per the given fractions.
LCM of 73,80,77,584 is 449680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,89,98,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors 24,89,98,49 . The biggest common factor number is the GCF number.
So the greatest common factor 24,89,98,49 is 1.
Lets's calculate LCM of 73,80,77,584
2 | 73, 80, 77, 584 |
2 | 73, 40, 77, 292 |
2 | 73, 20, 77, 146 |
73 | 73, 10, 77, 73 |
1, 10, 77, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 1 x 10 x 77 x 1 = 449680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449680
Therefore, the GCF of Fractions 24/73,89/80,98/77,49/584 is 1/449680
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 73,80,77,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,80,77,584) = 1
common factors(in case of two or more numbers have common factors) = 584
GCF(73,80,77,584) x common factors =1 x 584 = 584
LCM(73,80,77,584) = ( 73 × 80 × 77 × 584 ) / 584
LCM(73,80,77,584) = 262613120 / 584
LCM(73,80,77,584) = 449680
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 24/73, 89/80, 98/77, 49/584?
Answer: GCF of Numerators as per given numbers 24/73, 89/80, 98/77, 49/584 is
GCF of Numerators i.e. for 24,89,98,49 is 1
LCM of denominators i.e. for 73,80,77,584 is 449680.
Thus, GCF of Fractions is 1/449680.Finally, GCF of Fractions for 24/73, 89/80, 98/77, 49/584 is 1/449680.