Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/856,1414/9172
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 49,1414
Greatest Common Factor of Numerators i.e. GCF of 49,1414 is 7 .
LCM of Denominators means LCM of 856,9172 as per the given fractions.
LCM of 856,9172 is 1962808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,1414
7 | 49, 1414 |
7, 202 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 1414
List of positive integer factors of 1414 that divides 1414 without a remainder.
1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 49,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 49,1414 is 7.
Lets's calculate LCM of 856,9172
2 | 856, 9172 |
2 | 428, 4586 |
214, 2293 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 2293 = 1962808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1962808
Therefore, the GCF of Fractions 49/856,1414/9172 is 7/1962808
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 856,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9172) x common factors =4 x 1 = 4
LCM(856,9172) = ( 856 × 9172 ) / 4
LCM(856,9172) = 7851232 / 4
LCM(856,9172) = 1962808
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 49/856, 1414/9172?
Answer: GCF of Numerators as per given numbers 49/856, 1414/9172 is
GCF of Numerators i.e. for 49,1414 is 7
LCM of denominators i.e. for 856,9172 is 1962808.
Thus, GCF of Fractions is 7/1962808.Finally, GCF of Fractions for 49/856, 1414/9172 is 7/1962808.