Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/32,76/82,90/99,49/76
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 35,76,90,49
Greatest Common Factor of Numerators i.e. GCF of 35,76,90,49 is 1 .
LCM of Denominators means LCM of 32,82,99,76 as per the given fractions.
LCM of 32,82,99,76 is 2467872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,76,90,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
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 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors 35,76,90,49 . The biggest common factor number is the GCF number.
So the greatest common factor 35,76,90,49 is 1.
Lets's calculate LCM of 32,82,99,76
2 | 32, 82, 99, 76 |
2 | 16, 41, 99, 38 |
8, 41, 99, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 41 x 99 x 19 = 2467872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2467872
Therefore, the GCF of Fractions 35/32,76/82,90/99,49/76 is 1/2467872
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 32,82,99,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,82,99,76) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(32,82,99,76) x common factors =1 x 8 = 8
LCM(32,82,99,76) = ( 32 × 82 × 99 × 76 ) / 8
LCM(32,82,99,76) = 19742976 / 8
LCM(32,82,99,76) = 2467872
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 35/32, 76/82, 90/99, 49/76?
Answer: GCF of Numerators as per given numbers 35/32, 76/82, 90/99, 49/76 is
GCF of Numerators i.e. for 35,76,90,49 is 1
LCM of denominators i.e. for 32,82,99,76 is 2467872.
Thus, GCF of Fractions is 1/2467872.Finally, GCF of Fractions for 35/32, 76/82, 90/99, 49/76 is 1/2467872.