Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/56,821/152
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 506,821
Greatest Common Factor of Numerators i.e. GCF of 506,821 is 1 .
LCM of Denominators means LCM of 56,152 as per the given fractions.
LCM of 56,152 is 1064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 506,821 . The biggest common factor number is the GCF number.
So the greatest common factor 506,821 is 1.
Lets's calculate LCM of 56,152
2 | 56, 152 |
2 | 28, 76 |
2 | 14, 38 |
7, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 19 = 1064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064
Therefore, the GCF of Fractions 506/56,821/152 is 1/1064
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 56,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,152) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,152) x common factors =8 x 1 = 8
LCM(56,152) = ( 56 × 152 ) / 8
LCM(56,152) = 8512 / 8
LCM(56,152) = 1064
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 506/56, 821/152?
Answer: GCF of Numerators as per given numbers 506/56, 821/152 is
GCF of Numerators i.e. for 506,821 is 1
LCM of denominators i.e. for 56,152 is 1064.
Thus, GCF of Fractions is 1/1064.Finally, GCF of Fractions for 506/56, 821/152 is 1/1064.