Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/98,12/16,90/14,614/63
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 24,12,90,614
Greatest Common Factor of Numerators i.e. GCF of 24,12,90,614 is 2 .
LCM of Denominators means LCM of 98,16,14,63 as per the given fractions.
LCM of 98,16,14,63 is 7056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,12,90,614
2 | 24, 12, 90, 614 |
12, 6, 45, 307 |
∴ So the GCF of the given numbers is 2 = 2
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 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 24,12,90,614 . The biggest common factor number is the GCF number.
So the greatest common factor 24,12,90,614 is 2.
Lets's calculate LCM of 98,16,14,63
2 | 98, 16, 14, 63 |
7 | 49, 8, 7, 63 |
1, 8, 7, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 8 x 7 x 9 = 7056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7056
Therefore, the GCF of Fractions 24/98,12/16,90/14,614/63 is 2/7056
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 98,16,14,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,16,14,63) = 1
common factors(in case of two or more numbers have common factors) = 196
GCF(98,16,14,63) x common factors =1 x 196 = 196
LCM(98,16,14,63) = ( 98 × 16 × 14 × 63 ) / 196
LCM(98,16,14,63) = 1382976 / 196
LCM(98,16,14,63) = 7056
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 24/98, 12/16, 90/14, 614/63?
Answer: GCF of Numerators as per given numbers 24/98, 12/16, 90/14, 614/63 is
GCF of Numerators i.e. for 24,12,90,614 is 2
LCM of denominators i.e. for 98,16,14,63 is 7056.
Thus, GCF of Fractions is 2/7056.Finally, GCF of Fractions for 24/98, 12/16, 90/14, 614/63 is 2/7056.