Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/24,9/21,22/49,76/898
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 8,9,22,76
Greatest Common Factor of Numerators i.e. GCF of 8,9,22,76 is 1 .
LCM of Denominators means LCM of 24,21,49,898 as per the given fractions.
LCM of 24,21,49,898 is 528024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,9,22,76
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Greatest Common Factor
We found the factors 8,9,22,76 . The biggest common factor number is the GCF number.
So the greatest common factor 8,9,22,76 is 1.
Lets's calculate LCM of 24,21,49,898
2 | 24, 21, 49, 898 |
3 | 12, 21, 49, 449 |
7 | 4, 7, 49, 449 |
4, 1, 7, 449 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 1 x 7 x 449 = 528024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528024
Therefore, the GCF of Fractions 8/24,9/21,22/49,76/898 is 1/528024
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 24,21,49,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,21,49,898) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(24,21,49,898) x common factors =1 x 42 = 42
LCM(24,21,49,898) = ( 24 × 21 × 49 × 898 ) / 42
LCM(24,21,49,898) = 22177008 / 42
LCM(24,21,49,898) = 528024
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 8/24, 9/21, 22/49, 76/898?
Answer: GCF of Numerators as per given numbers 8/24, 9/21, 22/49, 76/898 is
GCF of Numerators i.e. for 8,9,22,76 is 1
LCM of denominators i.e. for 24,21,49,898 is 528024.
Thus, GCF of Fractions is 1/528024.Finally, GCF of Fractions for 8/24, 9/21, 22/49, 76/898 is 1/528024.