Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 669/88,3796/741
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 669,3796
Greatest Common Factor of Numerators i.e. GCF of 669,3796 is 1 .
LCM of Denominators means LCM of 88,741 as per the given fractions.
LCM of 88,741 is 65208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 669,3796
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 3796
List of positive integer factors of 3796 that divides 3796 without a remainder.
1,2,4,13,26,52,73,146,292,949,1898,3796
Greatest Common Factor
We found the factors 669,3796 . The biggest common factor number is the GCF number.
So the greatest common factor 669,3796 is 1.
Lets's calculate LCM of 88,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 65208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65208
Therefore, the GCF of Fractions 669/88,3796/741 is 1/65208
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 88,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,741) x common factors =1 x 1 = 1
LCM(88,741) = ( 88 × 741 ) / 1
LCM(88,741) = 65208 / 1
LCM(88,741) = 65208
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 669/88, 3796/741?
Answer: GCF of Numerators as per given numbers 669/88, 3796/741 is
GCF of Numerators i.e. for 669,3796 is 1
LCM of denominators i.e. for 88,741 is 65208.
Thus, GCF of Fractions is 1/65208.Finally, GCF of Fractions for 669/88, 3796/741 is 1/65208.