Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/739,498/519
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 402,498
Greatest Common Factor of Numerators i.e. GCF of 402,498 is 6 .
LCM of Denominators means LCM of 739,519 as per the given fractions.
LCM of 739,519 is 383541 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 402,498
2 | 402, 498 |
3 | 201, 249 |
67, 83 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 402,498 . The biggest common factor number is the GCF number.
So the greatest common factor 402,498 is 6.
Lets's calculate LCM of 739,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 383541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/383541
Therefore, the GCF of Fractions 402/739,498/519 is 6/383541
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 739,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,519) x common factors =1 x 1 = 1
LCM(739,519) = ( 739 × 519 ) / 1
LCM(739,519) = 383541 / 1
LCM(739,519) = 383541
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 402/739, 498/519?
Answer: GCF of Numerators as per given numbers 402/739, 498/519 is
GCF of Numerators i.e. for 402,498 is 6
LCM of denominators i.e. for 739,519 is 383541.
Thus, GCF of Fractions is 6/383541.Finally, GCF of Fractions for 402/739, 498/519 is 6/383541.