Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9979/833,9014/9240
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 9979,9014
Greatest Common Factor of Numerators i.e. GCF of 9979,9014 is 1 .
LCM of Denominators means LCM of 833,9240 as per the given fractions.
LCM of 833,9240 is 1099560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9979,9014
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9979
List of positive integer factors of 9979 that divides 9979 without a remainder.
1,17,587,9979
Factors of 9014
List of positive integer factors of 9014 that divides 9014 without a remainder.
1,2,4507,9014
Greatest Common Factor
We found the factors 9979,9014 . The biggest common factor number is the GCF number.
So the greatest common factor 9979,9014 is 1.
Lets's calculate LCM of 833,9240
7 | 833, 9240 |
119, 1320 |
∴ So the LCM of the given numbers is 7 x 119 x 1320 = 1099560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1099560
Therefore, the GCF of Fractions 9979/833,9014/9240 is 1/1099560
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 833,9240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,9240) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(833,9240) x common factors =7 x 1 = 7
LCM(833,9240) = ( 833 × 9240 ) / 7
LCM(833,9240) = 7696920 / 7
LCM(833,9240) = 1099560
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 9979/833, 9014/9240?
Answer: GCF of Numerators as per given numbers 9979/833, 9014/9240 is
GCF of Numerators i.e. for 9979,9014 is 1
LCM of denominators i.e. for 833,9240 is 1099560.
Thus, GCF of Fractions is 1/1099560.Finally, GCF of Fractions for 9979/833, 9014/9240 is 1/1099560.