Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/83,507/86,156/553
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 646,507,156
Greatest Common Factor of Numerators i.e. GCF of 646,507,156 is 1 .
LCM of Denominators means LCM of 83,86,553 as per the given fractions.
LCM of 83,86,553 is 3947314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,507,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 646,507,156 . The biggest common factor number is the GCF number.
So the greatest common factor 646,507,156 is 1.
Lets's calculate LCM of 83,86,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 3947314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3947314
Therefore, the GCF of Fractions 646/83,507/86,156/553 is 1/3947314
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 83,86,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,86,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,86,553) x common factors =1 x 1 = 1
LCM(83,86,553) = ( 83 × 86 × 553 ) / 1
LCM(83,86,553) = 3947314 / 1
LCM(83,86,553) = 3947314
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 646/83, 507/86, 156/553?
Answer: GCF of Numerators as per given numbers 646/83, 507/86, 156/553 is
GCF of Numerators i.e. for 646,507,156 is 1
LCM of denominators i.e. for 83,86,553 is 3947314.
Thus, GCF of Fractions is 1/3947314.Finally, GCF of Fractions for 646/83, 507/86, 156/553 is 1/3947314.