Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/48,88/87,32/392,266/264
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 6,88,32,266
Greatest Common Factor of Numerators i.e. GCF of 6,88,32,266 is 2 .
LCM of Denominators means LCM of 48,87,392,264 as per the given fractions.
LCM of 48,87,392,264 is 750288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,88,32,266
2 | 6, 88, 32, 266 |
3, 44, 16, 133 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
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 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 6,88,32,266 . The biggest common factor number is the GCF number.
So the greatest common factor 6,88,32,266 is 2.
Lets's calculate LCM of 48,87,392,264
2 | 48, 87, 392, 264 |
2 | 24, 87, 196, 132 |
2 | 12, 87, 98, 66 |
3 | 6, 87, 49, 33 |
2, 29, 49, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 29 x 49 x 11 = 750288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/750288
Therefore, the GCF of Fractions 6/48,88/87,32/392,266/264 is 2/750288
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 48,87,392,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,87,392,264) = 1
common factors(in case of two or more numbers have common factors) = 576
GCF(48,87,392,264) x common factors =1 x 576 = 576
LCM(48,87,392,264) = ( 48 × 87 × 392 × 264 ) / 576
LCM(48,87,392,264) = 432165888 / 576
LCM(48,87,392,264) = 750288
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 6/48, 88/87, 32/392, 266/264?
Answer: GCF of Numerators as per given numbers 6/48, 88/87, 32/392, 266/264 is
GCF of Numerators i.e. for 6,88,32,266 is 2
LCM of denominators i.e. for 48,87,392,264 is 750288.
Thus, GCF of Fractions is 2/750288.Finally, GCF of Fractions for 6/48, 88/87, 32/392, 266/264 is 2/750288.