Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7174/107,2265/2769
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 7174,2265
Greatest Common Factor of Numerators i.e. GCF of 7174,2265 is 1 .
LCM of Denominators means LCM of 107,2769 as per the given fractions.
LCM of 107,2769 is 296283 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7174,2265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7174
List of positive integer factors of 7174 that divides 7174 without a remainder.
1,2,17,34,211,422,3587,7174
Factors of 2265
List of positive integer factors of 2265 that divides 2265 without a remainder.
1,3,5,15,151,453,755,2265
Greatest Common Factor
We found the factors 7174,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,2265 is 1.
Lets's calculate LCM of 107,2769
Given numbers has no common factors except 1. So, there LCM is their product i.e 296283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296283
Therefore, the GCF of Fractions 7174/107,2265/2769 is 1/296283
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 107,2769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,2769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,2769) x common factors =1 x 1 = 1
LCM(107,2769) = ( 107 × 2769 ) / 1
LCM(107,2769) = 296283 / 1
LCM(107,2769) = 296283
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 7174/107, 2265/2769?
Answer: GCF of Numerators as per given numbers 7174/107, 2265/2769 is
GCF of Numerators i.e. for 7174,2265 is 1
LCM of denominators i.e. for 107,2769 is 296283.
Thus, GCF of Fractions is 1/296283.Finally, GCF of Fractions for 7174/107, 2265/2769 is 1/296283.