Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1219/967,7925/6421
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 1219,7925
Greatest Common Factor of Numerators i.e. GCF of 1219,7925 is 1 .
LCM of Denominators means LCM of 967,6421 as per the given fractions.
LCM of 967,6421 is 6209107 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1219,7925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1219
List of positive integer factors of 1219 that divides 1219 without a remainder.
1,23,53,1219
Factors of 7925
List of positive integer factors of 7925 that divides 7925 without a remainder.
1,5,25,317,1585,7925
Greatest Common Factor
We found the factors 1219,7925 . The biggest common factor number is the GCF number.
So the greatest common factor 1219,7925 is 1.
Lets's calculate LCM of 967,6421
Given numbers has no common factors except 1. So, there LCM is their product i.e 6209107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6209107
Therefore, the GCF of Fractions 1219/967,7925/6421 is 1/6209107
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 967,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,6421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,6421) x common factors =1 x 1 = 1
LCM(967,6421) = ( 967 × 6421 ) / 1
LCM(967,6421) = 6209107 / 1
LCM(967,6421) = 6209107
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 1219/967, 7925/6421?
Answer: GCF of Numerators as per given numbers 1219/967, 7925/6421 is
GCF of Numerators i.e. for 1219,7925 is 1
LCM of denominators i.e. for 967,6421 is 6209107.
Thus, GCF of Fractions is 1/6209107.Finally, GCF of Fractions for 1219/967, 7925/6421 is 1/6209107.