Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/910,345/308,532/891
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 474,345,532
Greatest Common Factor of Numerators i.e. GCF of 474,345,532 is 1 .
LCM of Denominators means LCM of 910,308,891 as per the given fractions.
LCM of 910,308,891 is 1621620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 474,345,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 474,345,532 . The biggest common factor number is the GCF number.
So the greatest common factor 474,345,532 is 1.
Lets's calculate LCM of 910,308,891
2 | 910, 308, 891 |
7 | 455, 154, 891 |
11 | 65, 22, 891 |
65, 2, 81 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 65 x 2 x 81 = 1621620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1621620
Therefore, the GCF of Fractions 474/910,345/308,532/891 is 1/1621620
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 910,308,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,308,891) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(910,308,891) x common factors =1 x 154 = 154
LCM(910,308,891) = ( 910 × 308 × 891 ) / 154
LCM(910,308,891) = 249729480 / 154
LCM(910,308,891) = 1621620
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 474/910, 345/308, 532/891?
Answer: GCF of Numerators as per given numbers 474/910, 345/308, 532/891 is
GCF of Numerators i.e. for 474,345,532 is 1
LCM of denominators i.e. for 910,308,891 is 1621620.
Thus, GCF of Fractions is 1/1621620.Finally, GCF of Fractions for 474/910, 345/308, 532/891 is 1/1621620.