Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/66,267/49,511/634
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 220,267,511
Greatest Common Factor of Numerators i.e. GCF of 220,267,511 is 1 .
LCM of Denominators means LCM of 66,49,634 as per the given fractions.
LCM of 66,49,634 is 1025178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 220,267,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 220,267,511 . The biggest common factor number is the GCF number.
So the greatest common factor 220,267,511 is 1.
Lets's calculate LCM of 66,49,634
2 | 66, 49, 634 |
33, 49, 317 |
∴ So the LCM of the given numbers is 2 x 33 x 49 x 317 = 1025178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1025178
Therefore, the GCF of Fractions 220/66,267/49,511/634 is 1/1025178
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 66,49,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,49,634) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,49,634) x common factors =1 x 2 = 2
LCM(66,49,634) = ( 66 × 49 × 634 ) / 2
LCM(66,49,634) = 2050356 / 2
LCM(66,49,634) = 1025178
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 220/66, 267/49, 511/634?
Answer: GCF of Numerators as per given numbers 220/66, 267/49, 511/634 is
GCF of Numerators i.e. for 220,267,511 is 1
LCM of denominators i.e. for 66,49,634 is 1025178.
Thus, GCF of Fractions is 1/1025178.Finally, GCF of Fractions for 220/66, 267/49, 511/634 is 1/1025178.