Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/72,76/51,22/38,73/32
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 92,76,22,73
Greatest Common Factor of Numerators i.e. GCF of 92,76,22,73 is 1 .
LCM of Denominators means LCM of 72,51,38,32 as per the given fractions.
LCM of 72,51,38,32 is 93024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,76,22,73
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Greatest Common Factor
We found the factors 92,76,22,73 . The biggest common factor number is the GCF number.
So the greatest common factor 92,76,22,73 is 1.
Lets's calculate LCM of 72,51,38,32
2 | 72, 51, 38, 32 |
2 | 36, 51, 19, 16 |
2 | 18, 51, 19, 8 |
3 | 9, 51, 19, 4 |
3, 17, 19, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 17 x 19 x 4 = 93024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93024
Therefore, the GCF of Fractions 92/72,76/51,22/38,73/32 is 1/93024
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 72,51,38,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,51,38,32) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(72,51,38,32) x common factors =1 x 48 = 48
LCM(72,51,38,32) = ( 72 × 51 × 38 × 32 ) / 48
LCM(72,51,38,32) = 4465152 / 48
LCM(72,51,38,32) = 93024
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 92/72, 76/51, 22/38, 73/32?
Answer: GCF of Numerators as per given numbers 92/72, 76/51, 22/38, 73/32 is
GCF of Numerators i.e. for 92,76,22,73 is 1
LCM of denominators i.e. for 72,51,38,32 is 93024.
Thus, GCF of Fractions is 1/93024.Finally, GCF of Fractions for 92/72, 76/51, 22/38, 73/32 is 1/93024.