Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/452,383/567,669/545
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 93,383,669
Greatest Common Factor of Numerators i.e. GCF of 93,383,669 is 1 .
LCM of Denominators means LCM of 452,567,545 as per the given fractions.
LCM of 452,567,545 is 139674780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,383,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 93,383,669 . The biggest common factor number is the GCF number.
So the greatest common factor 93,383,669 is 1.
Lets's calculate LCM of 452,567,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 139674780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139674780
Therefore, the GCF of Fractions 93/452,383/567,669/545 is 1/139674780
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 452,567,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,567,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,567,545) x common factors =1 x 1 = 1
LCM(452,567,545) = ( 452 × 567 × 545 ) / 1
LCM(452,567,545) = 139674780 / 1
LCM(452,567,545) = 139674780
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 93/452, 383/567, 669/545?
Answer: GCF of Numerators as per given numbers 93/452, 383/567, 669/545 is
GCF of Numerators i.e. for 93,383,669 is 1
LCM of denominators i.e. for 452,567,545 is 139674780.
Thus, GCF of Fractions is 1/139674780.Finally, GCF of Fractions for 93/452, 383/567, 669/545 is 1/139674780.