Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6101/996,6324/7000
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 6101,6324
Greatest Common Factor of Numerators i.e. GCF of 6101,6324 is 1 .
LCM of Denominators means LCM of 996,7000 as per the given fractions.
LCM of 996,7000 is 1743000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6101,6324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6101
List of positive integer factors of 6101 that divides 6101 without a remainder.
1,6101
Factors of 6324
List of positive integer factors of 6324 that divides 6324 without a remainder.
1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324
Greatest Common Factor
We found the factors 6101,6324 . The biggest common factor number is the GCF number.
So the greatest common factor 6101,6324 is 1.
Lets's calculate LCM of 996,7000
2 | 996, 7000 |
2 | 498, 3500 |
249, 1750 |
∴ So the LCM of the given numbers is 2 x 2 x 249 x 1750 = 1743000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1743000
Therefore, the GCF of Fractions 6101/996,6324/7000 is 1/1743000
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 996,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,7000) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(996,7000) x common factors =4 x 1 = 4
LCM(996,7000) = ( 996 × 7000 ) / 4
LCM(996,7000) = 6972000 / 4
LCM(996,7000) = 1743000
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 6101/996, 6324/7000?
Answer: GCF of Numerators as per given numbers 6101/996, 6324/7000 is
GCF of Numerators i.e. for 6101,6324 is 1
LCM of denominators i.e. for 996,7000 is 1743000.
Thus, GCF of Fractions is 1/1743000.Finally, GCF of Fractions for 6101/996, 6324/7000 is 1/1743000.