Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/11,82/30,92/53,53/280
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 76,82,92,53
Greatest Common Factor of Numerators i.e. GCF of 76,82,92,53 is 1 .
LCM of Denominators means LCM of 11,30,53,280 as per the given fractions.
LCM of 11,30,53,280 is 489720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,82,92,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 76,82,92,53 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,92,53 is 1.
Lets's calculate LCM of 11,30,53,280
2 | 11, 30, 53, 280 |
5 | 11, 15, 53, 140 |
11, 3, 53, 28 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 3 x 53 x 28 = 489720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489720
Therefore, the GCF of Fractions 76/11,82/30,92/53,53/280 is 1/489720
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 11,30,53,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,30,53,280) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(11,30,53,280) x common factors =1 x 10 = 10
LCM(11,30,53,280) = ( 11 × 30 × 53 × 280 ) / 10
LCM(11,30,53,280) = 4897200 / 10
LCM(11,30,53,280) = 489720
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 76/11, 82/30, 92/53, 53/280?
Answer: GCF of Numerators as per given numbers 76/11, 82/30, 92/53, 53/280 is
GCF of Numerators i.e. for 76,82,92,53 is 1
LCM of denominators i.e. for 11,30,53,280 is 489720.
Thus, GCF of Fractions is 1/489720.Finally, GCF of Fractions for 76/11, 82/30, 92/53, 53/280 is 1/489720.