Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/63,44/56,28/93,698/72
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 52,44,28,698
Greatest Common Factor of Numerators i.e. GCF of 52,44,28,698 is 2 .
LCM of Denominators means LCM of 63,56,93,72 as per the given fractions.
LCM of 63,56,93,72 is 15624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,44,28,698
2 | 52, 44, 28, 698 |
26, 22, 14, 349 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 52,44,28,698 . The biggest common factor number is the GCF number.
So the greatest common factor 52,44,28,698 is 2.
Lets's calculate LCM of 63,56,93,72
2 | 63, 56, 93, 72 |
2 | 63, 28, 93, 36 |
2 | 63, 14, 93, 18 |
3 | 63, 7, 93, 9 |
3 | 21, 7, 31, 3 |
7 | 7, 7, 31, 1 |
1, 1, 31, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 31 x 1 = 15624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15624
Therefore, the GCF of Fractions 52/63,44/56,28/93,698/72 is 2/15624
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 63,56,93,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,56,93,72) = 1
common factors(in case of two or more numbers have common factors) = 1512
GCF(63,56,93,72) x common factors =1 x 1512 = 1512
LCM(63,56,93,72) = ( 63 × 56 × 93 × 72 ) / 1512
LCM(63,56,93,72) = 23623488 / 1512
LCM(63,56,93,72) = 15624
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 52/63, 44/56, 28/93, 698/72?
Answer: GCF of Numerators as per given numbers 52/63, 44/56, 28/93, 698/72 is
GCF of Numerators i.e. for 52,44,28,698 is 2
LCM of denominators i.e. for 63,56,93,72 is 15624.
Thus, GCF of Fractions is 2/15624.Finally, GCF of Fractions for 52/63, 44/56, 28/93, 698/72 is 2/15624.