Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/36,49/99,68/93,85/423
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 97,49,68,85
Greatest Common Factor of Numerators i.e. GCF of 97,49,68,85 is 1 .
LCM of Denominators means LCM of 36,99,93,423 as per the given fractions.
LCM of 36,99,93,423 is 576972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,49,68,85
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Greatest Common Factor
We found the factors 97,49,68,85 . The biggest common factor number is the GCF number.
So the greatest common factor 97,49,68,85 is 1.
Lets's calculate LCM of 36,99,93,423
3 | 36, 99, 93, 423 |
3 | 12, 33, 31, 141 |
4, 11, 31, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 11 x 31 x 47 = 576972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576972
Therefore, the GCF of Fractions 97/36,49/99,68/93,85/423 is 1/576972
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 36,99,93,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,99,93,423) = 3
common factors(in case of two or more numbers have common factors) = 81
GCF(36,99,93,423) x common factors =3 x 81 = 243
LCM(36,99,93,423) = ( 36 × 99 × 93 × 423 ) / 243
LCM(36,99,93,423) = 140204196 / 243
LCM(36,99,93,423) = 576972
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 97/36, 49/99, 68/93, 85/423?
Answer: GCF of Numerators as per given numbers 97/36, 49/99, 68/93, 85/423 is
GCF of Numerators i.e. for 97,49,68,85 is 1
LCM of denominators i.e. for 36,99,93,423 is 576972.
Thus, GCF of Fractions is 1/576972.Finally, GCF of Fractions for 97/36, 49/99, 68/93, 85/423 is 1/576972.