Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/67,574/31,646/508
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 318,574,646
Greatest Common Factor of Numerators i.e. GCF of 318,574,646 is 2 .
LCM of Denominators means LCM of 67,31,508 as per the given fractions.
LCM of 67,31,508 is 1055116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 318,574,646
2 | 318, 574, 646 |
159, 287, 323 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 318,574,646 . The biggest common factor number is the GCF number.
So the greatest common factor 318,574,646 is 2.
Lets's calculate LCM of 67,31,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 1055116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1055116
Therefore, the GCF of Fractions 318/67,574/31,646/508 is 2/1055116
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 67,31,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,31,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,31,508) x common factors =1 x 1 = 1
LCM(67,31,508) = ( 67 × 31 × 508 ) / 1
LCM(67,31,508) = 1055116 / 1
LCM(67,31,508) = 1055116
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 318/67, 574/31, 646/508?
Answer: GCF of Numerators as per given numbers 318/67, 574/31, 646/508 is
GCF of Numerators i.e. for 318,574,646 is 2
LCM of denominators i.e. for 67,31,508 is 1055116.
Thus, GCF of Fractions is 2/1055116.Finally, GCF of Fractions for 318/67, 574/31, 646/508 is 2/1055116.