Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/377,1551/7837
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 29,1551
Greatest Common Factor of Numerators i.e. GCF of 29,1551 is 1 .
LCM of Denominators means LCM of 377,7837 as per the given fractions.
LCM of 377,7837 is 2954549 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,1551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 1551
List of positive integer factors of 1551 that divides 1551 without a remainder.
1,3,11,33,47,141,517,1551
Greatest Common Factor
We found the factors 29,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1551 is 1.
Lets's calculate LCM of 377,7837
Given numbers has no common factors except 1. So, there LCM is their product i.e 2954549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2954549
Therefore, the GCF of Fractions 29/377,1551/7837 is 1/2954549
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 377,7837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,7837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,7837) x common factors =1 x 1 = 1
LCM(377,7837) = ( 377 × 7837 ) / 1
LCM(377,7837) = 2954549 / 1
LCM(377,7837) = 2954549
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 29/377, 1551/7837?
Answer: GCF of Numerators as per given numbers 29/377, 1551/7837 is
GCF of Numerators i.e. for 29,1551 is 1
LCM of denominators i.e. for 377,7837 is 2954549.
Thus, GCF of Fractions is 1/2954549.Finally, GCF of Fractions for 29/377, 1551/7837 is 1/2954549.