Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 362/686,1982/3014
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 362,1982
Greatest Common Factor of Numerators i.e. GCF of 362,1982 is 2 .
LCM of Denominators means LCM of 686,3014 as per the given fractions.
LCM of 686,3014 is 1033802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 362,1982
2 | 362, 1982 |
181, 991 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 1982
List of positive integer factors of 1982 that divides 1982 without a remainder.
1,2,991,1982
Greatest Common Factor
We found the factors 362,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 362,1982 is 2.
Lets's calculate LCM of 686,3014
2 | 686, 3014 |
343, 1507 |
∴ So the LCM of the given numbers is 2 x 343 x 1507 = 1033802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1033802
Therefore, the GCF of Fractions 362/686,1982/3014 is 2/1033802
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 686,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,3014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,3014) x common factors =2 x 1 = 2
LCM(686,3014) = ( 686 × 3014 ) / 2
LCM(686,3014) = 2067604 / 2
LCM(686,3014) = 1033802
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 362/686, 1982/3014?
Answer: GCF of Numerators as per given numbers 362/686, 1982/3014 is
GCF of Numerators i.e. for 362,1982 is 2
LCM of denominators i.e. for 686,3014 is 1033802.
Thus, GCF of Fractions is 2/1033802.Finally, GCF of Fractions for 362/686, 1982/3014 is 2/1033802.