Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/926,214/533,191/348
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 49,214,191
Greatest Common Factor of Numerators i.e. GCF of 49,214,191 is 1 .
LCM of Denominators means LCM of 926,533,348 as per the given fractions.
LCM of 926,533,348 is 85879092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,214,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 49,214,191 . The biggest common factor number is the GCF number.
So the greatest common factor 49,214,191 is 1.
Lets's calculate LCM of 926,533,348
2 | 926, 533, 348 |
463, 533, 174 |
∴ So the LCM of the given numbers is 2 x 463 x 533 x 174 = 85879092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85879092
Therefore, the GCF of Fractions 49/926,214/533,191/348 is 1/85879092
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 926,533,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,533,348) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(926,533,348) x common factors =1 x 2 = 2
LCM(926,533,348) = ( 926 × 533 × 348 ) / 2
LCM(926,533,348) = 171758184 / 2
LCM(926,533,348) = 85879092
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 49/926, 214/533, 191/348?
Answer: GCF of Numerators as per given numbers 49/926, 214/533, 191/348 is
GCF of Numerators i.e. for 49,214,191 is 1
LCM of denominators i.e. for 926,533,348 is 85879092.
Thus, GCF of Fractions is 1/85879092.Finally, GCF of Fractions for 49/926, 214/533, 191/348 is 1/85879092.