Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/29,88/54,34/99,49/423
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 63,88,34,49
Greatest Common Factor of Numerators i.e. GCF of 63,88,34,49 is 1 .
LCM of Denominators means LCM of 29,54,99,423 as per the given fractions.
LCM of 29,54,99,423 is 809622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,88,34,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
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 63,88,34,49 . The biggest common factor number is the GCF number.
So the greatest common factor 63,88,34,49 is 1.
Lets's calculate LCM of 29,54,99,423
3 | 29, 54, 99, 423 |
3 | 29, 18, 33, 141 |
29, 6, 11, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 6 x 11 x 47 = 809622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809622
Therefore, the GCF of Fractions 63/29,88/54,34/99,49/423 is 1/809622
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 29,54,99,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,54,99,423) = 1
common factors(in case of two or more numbers have common factors) = 81
GCF(29,54,99,423) x common factors =1 x 81 = 81
LCM(29,54,99,423) = ( 29 × 54 × 99 × 423 ) / 81
LCM(29,54,99,423) = 65579382 / 81
LCM(29,54,99,423) = 809622
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 63/29, 88/54, 34/99, 49/423?
Answer: GCF of Numerators as per given numbers 63/29, 88/54, 34/99, 49/423 is
GCF of Numerators i.e. for 63,88,34,49 is 1
LCM of denominators i.e. for 29,54,99,423 is 809622.
Thus, GCF of Fractions is 1/809622.Finally, GCF of Fractions for 63/29, 88/54, 34/99, 49/423 is 1/809622.