Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/60,26/76,762/16
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 98,26,762
Greatest Common Factor of Numerators i.e. GCF of 98,26,762 is 2 .
LCM of Denominators means LCM of 60,76,16 as per the given fractions.
LCM of 60,76,16 is 4560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,26,762
2 | 98, 26, 762 |
49, 13, 381 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 98,26,762 . The biggest common factor number is the GCF number.
So the greatest common factor 98,26,762 is 2.
Lets's calculate LCM of 60,76,16
2 | 60, 76, 16 |
2 | 30, 38, 8 |
15, 19, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 19 x 4 = 4560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4560
Therefore, the GCF of Fractions 98/60,26/76,762/16 is 2/4560
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 60,76,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,76,16) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(60,76,16) x common factors =4 x 4 = 16
LCM(60,76,16) = ( 60 × 76 × 16 ) / 16
LCM(60,76,16) = 72960 / 16
LCM(60,76,16) = 4560
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 98/60, 26/76, 762/16?
Answer: GCF of Numerators as per given numbers 98/60, 26/76, 762/16 is
GCF of Numerators i.e. for 98,26,762 is 2
LCM of denominators i.e. for 60,76,16 is 4560.
Thus, GCF of Fractions is 2/4560.Finally, GCF of Fractions for 98/60, 26/76, 762/16 is 2/4560.