Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/91,167/49,807/506
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 597,167,807
Greatest Common Factor of Numerators i.e. GCF of 597,167,807 is 1 .
LCM of Denominators means LCM of 91,49,506 as per the given fractions.
LCM of 91,49,506 is 322322 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,167,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 597,167,807 . The biggest common factor number is the GCF number.
So the greatest common factor 597,167,807 is 1.
Lets's calculate LCM of 91,49,506
7 | 91, 49, 506 |
13, 7, 506 |
∴ So the LCM of the given numbers is 7 x 13 x 7 x 506 = 322322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322322
Therefore, the GCF of Fractions 597/91,167/49,807/506 is 1/322322
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 91,49,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,49,506) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,49,506) x common factors =1 x 7 = 7
LCM(91,49,506) = ( 91 × 49 × 506 ) / 7
LCM(91,49,506) = 2256254 / 7
LCM(91,49,506) = 322322
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 597/91, 167/49, 807/506?
Answer: GCF of Numerators as per given numbers 597/91, 167/49, 807/506 is
GCF of Numerators i.e. for 597,167,807 is 1
LCM of denominators i.e. for 91,49,506 is 322322.
Thus, GCF of Fractions is 1/322322.Finally, GCF of Fractions for 597/91, 167/49, 807/506 is 1/322322.