Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/8520,776/9922
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 379,776
Greatest Common Factor of Numerators i.e. GCF of 379,776 is 1 .
LCM of Denominators means LCM of 8520,9922 as per the given fractions.
LCM of 8520,9922 is 42267720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 379,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 379,776 . The biggest common factor number is the GCF number.
So the greatest common factor 379,776 is 1.
Lets's calculate LCM of 8520,9922
2 | 8520, 9922 |
4260, 4961 |
∴ So the LCM of the given numbers is 2 x 4260 x 4961 = 42267720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42267720
Therefore, the GCF of Fractions 379/8520,776/9922 is 1/42267720
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 8520,9922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8520,9922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8520,9922) x common factors =2 x 1 = 2
LCM(8520,9922) = ( 8520 × 9922 ) / 2
LCM(8520,9922) = 84535440 / 2
LCM(8520,9922) = 42267720
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 379/8520, 776/9922?
Answer: GCF of Numerators as per given numbers 379/8520, 776/9922 is
GCF of Numerators i.e. for 379,776 is 1
LCM of denominators i.e. for 8520,9922 is 42267720.
Thus, GCF of Fractions is 1/42267720.Finally, GCF of Fractions for 379/8520, 776/9922 is 1/42267720.