Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5126/929,6139/9678
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 5126,6139
Greatest Common Factor of Numerators i.e. GCF of 5126,6139 is 1 .
LCM of Denominators means LCM of 929,9678 as per the given fractions.
LCM of 929,9678 is 8990862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5126,6139
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5126
List of positive integer factors of 5126 that divides 5126 without a remainder.
1,2,11,22,233,466,2563,5126
Factors of 6139
List of positive integer factors of 6139 that divides 6139 without a remainder.
1,7,877,6139
Greatest Common Factor
We found the factors 5126,6139 . The biggest common factor number is the GCF number.
So the greatest common factor 5126,6139 is 1.
Lets's calculate LCM of 929,9678
Given numbers has no common factors except 1. So, there LCM is their product i.e 8990862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8990862
Therefore, the GCF of Fractions 5126/929,6139/9678 is 1/8990862
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 929,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,9678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,9678) x common factors =1 x 1 = 1
LCM(929,9678) = ( 929 × 9678 ) / 1
LCM(929,9678) = 8990862 / 1
LCM(929,9678) = 8990862
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 5126/929, 6139/9678?
Answer: GCF of Numerators as per given numbers 5126/929, 6139/9678 is
GCF of Numerators i.e. for 5126,6139 is 1
LCM of denominators i.e. for 929,9678 is 8990862.
Thus, GCF of Fractions is 1/8990862.Finally, GCF of Fractions for 5126/929, 6139/9678 is 1/8990862.