Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/28,46/98,10/62,61/76
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 47,46,10,61
Greatest Common Factor of Numerators i.e. GCF of 47,46,10,61 is 1 .
LCM of Denominators means LCM of 28,98,62,76 as per the given fractions.
LCM of 28,98,62,76 is 115444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,46,10,61
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Greatest Common Factor
We found the factors 47,46,10,61 . The biggest common factor number is the GCF number.
So the greatest common factor 47,46,10,61 is 1.
Lets's calculate LCM of 28,98,62,76
2 | 28, 98, 62, 76 |
2 | 14, 49, 31, 38 |
7 | 7, 49, 31, 19 |
1, 7, 31, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 7 x 31 x 19 = 115444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115444
Therefore, the GCF of Fractions 47/28,46/98,10/62,61/76 is 1/115444
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 28,98,62,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,98,62,76) = 2
common factors(in case of two or more numbers have common factors) = 56
GCF(28,98,62,76) x common factors =2 x 56 = 112
LCM(28,98,62,76) = ( 28 × 98 × 62 × 76 ) / 112
LCM(28,98,62,76) = 12929728 / 112
LCM(28,98,62,76) = 115444
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 47/28, 46/98, 10/62, 61/76?
Answer: GCF of Numerators as per given numbers 47/28, 46/98, 10/62, 61/76 is
GCF of Numerators i.e. for 47,46,10,61 is 1
LCM of denominators i.e. for 28,98,62,76 is 115444.
Thus, GCF of Fractions is 1/115444.Finally, GCF of Fractions for 47/28, 46/98, 10/62, 61/76 is 1/115444.