Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/84,7759/104
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 974,7759
Greatest Common Factor of Numerators i.e. GCF of 974,7759 is 1 .
LCM of Denominators means LCM of 84,104 as per the given fractions.
LCM of 84,104 is 2184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 974,7759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 7759
List of positive integer factors of 7759 that divides 7759 without a remainder.
1,7759
Greatest Common Factor
We found the factors 974,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 974,7759 is 1.
Lets's calculate LCM of 84,104
2 | 84, 104 |
2 | 42, 52 |
21, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 26 = 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184
Therefore, the GCF of Fractions 974/84,7759/104 is 1/2184
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 84,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(84,104) x common factors =4 x 1 = 4
LCM(84,104) = ( 84 × 104 ) / 4
LCM(84,104) = 8736 / 4
LCM(84,104) = 2184
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 974/84, 7759/104?
Answer: GCF of Numerators as per given numbers 974/84, 7759/104 is
GCF of Numerators i.e. for 974,7759 is 1
LCM of denominators i.e. for 84,104 is 2184.
Thus, GCF of Fractions is 1/2184.Finally, GCF of Fractions for 974/84, 7759/104 is 1/2184.