Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/678,74/2281
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 35,74
Greatest Common Factor of Numerators i.e. GCF of 35,74 is 1 .
LCM of Denominators means LCM of 678,2281 as per the given fractions.
LCM of 678,2281 is 1546518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 35,74 . The biggest common factor number is the GCF number.
So the greatest common factor 35,74 is 1.
Lets's calculate LCM of 678,2281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1546518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1546518
Therefore, the GCF of Fractions 35/678,74/2281 is 1/1546518
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 678,2281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,2281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,2281) x common factors =1 x 1 = 1
LCM(678,2281) = ( 678 × 2281 ) / 1
LCM(678,2281) = 1546518 / 1
LCM(678,2281) = 1546518
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 35/678, 74/2281?
Answer: GCF of Numerators as per given numbers 35/678, 74/2281 is
GCF of Numerators i.e. for 35,74 is 1
LCM of denominators i.e. for 678,2281 is 1546518.
Thus, GCF of Fractions is 1/1546518.Finally, GCF of Fractions for 35/678, 74/2281 is 1/1546518.