Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/85,24/38,22/24,823/54
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 78,24,22,823
Greatest Common Factor of Numerators i.e. GCF of 78,24,22,823 is 1 .
LCM of Denominators means LCM of 85,38,24,54 as per the given fractions.
LCM of 85,38,24,54 is 348840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,24,22,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
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 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 78,24,22,823 . The biggest common factor number is the GCF number.
So the greatest common factor 78,24,22,823 is 1.
Lets's calculate LCM of 85,38,24,54
2 | 85, 38, 24, 54 |
3 | 85, 19, 12, 27 |
85, 19, 4, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 19 x 4 x 9 = 348840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348840
Therefore, the GCF of Fractions 78/85,24/38,22/24,823/54 is 1/348840
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 85,38,24,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,38,24,54) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(85,38,24,54) x common factors =1 x 12 = 12
LCM(85,38,24,54) = ( 85 × 38 × 24 × 54 ) / 12
LCM(85,38,24,54) = 4186080 / 12
LCM(85,38,24,54) = 348840
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 78/85, 24/38, 22/24, 823/54?
Answer: GCF of Numerators as per given numbers 78/85, 24/38, 22/24, 823/54 is
GCF of Numerators i.e. for 78,24,22,823 is 1
LCM of denominators i.e. for 85,38,24,54 is 348840.
Thus, GCF of Fractions is 1/348840.Finally, GCF of Fractions for 78/85, 24/38, 22/24, 823/54 is 1/348840.