Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/607,662/739,655/254
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 382,662,655
Greatest Common Factor of Numerators i.e. GCF of 382,662,655 is 1 .
LCM of Denominators means LCM of 607,739,254 as per the given fractions.
LCM of 607,739,254 is 113937542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,662,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 382,662,655 . The biggest common factor number is the GCF number.
So the greatest common factor 382,662,655 is 1.
Lets's calculate LCM of 607,739,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 113937542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113937542
Therefore, the GCF of Fractions 382/607,662/739,655/254 is 1/113937542
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 607,739,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,739,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,739,254) x common factors =1 x 1 = 1
LCM(607,739,254) = ( 607 × 739 × 254 ) / 1
LCM(607,739,254) = 113937542 / 1
LCM(607,739,254) = 113937542
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 382/607, 662/739, 655/254?
Answer: GCF of Numerators as per given numbers 382/607, 662/739, 655/254 is
GCF of Numerators i.e. for 382,662,655 is 1
LCM of denominators i.e. for 607,739,254 is 113937542.
Thus, GCF of Fractions is 1/113937542.Finally, GCF of Fractions for 382/607, 662/739, 655/254 is 1/113937542.