Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3649/911,7782/521
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 3649,7782
Greatest Common Factor of Numerators i.e. GCF of 3649,7782 is 1 .
LCM of Denominators means LCM of 911,521 as per the given fractions.
LCM of 911,521 is 474631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3649,7782
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3649
List of positive integer factors of 3649 that divides 3649 without a remainder.
1,41,89,3649
Factors of 7782
List of positive integer factors of 7782 that divides 7782 without a remainder.
1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 3649,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 3649,7782 is 1.
Lets's calculate LCM of 911,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 474631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474631
Therefore, the GCF of Fractions 3649/911,7782/521 is 1/474631
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 911,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,521) x common factors =1 x 1 = 1
LCM(911,521) = ( 911 × 521 ) / 1
LCM(911,521) = 474631 / 1
LCM(911,521) = 474631
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 3649/911, 7782/521?
Answer: GCF of Numerators as per given numbers 3649/911, 7782/521 is
GCF of Numerators i.e. for 3649,7782 is 1
LCM of denominators i.e. for 911,521 is 474631.
Thus, GCF of Fractions is 1/474631.Finally, GCF of Fractions for 3649/911, 7782/521 is 1/474631.