Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/94,7442/373
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 369,7442
Greatest Common Factor of Numerators i.e. GCF of 369,7442 is 1 .
LCM of Denominators means LCM of 94,373 as per the given fractions.
LCM of 94,373 is 35062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 369,7442
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 7442
List of positive integer factors of 7442 that divides 7442 without a remainder.
1,2,61,122,3721,7442
Greatest Common Factor
We found the factors 369,7442 . The biggest common factor number is the GCF number.
So the greatest common factor 369,7442 is 1.
Lets's calculate LCM of 94,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 35062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35062
Therefore, the GCF of Fractions 369/94,7442/373 is 1/35062
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 94,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,373) x common factors =1 x 1 = 1
LCM(94,373) = ( 94 × 373 ) / 1
LCM(94,373) = 35062 / 1
LCM(94,373) = 35062
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 369/94, 7442/373?
Answer: GCF of Numerators as per given numbers 369/94, 7442/373 is
GCF of Numerators i.e. for 369,7442 is 1
LCM of denominators i.e. for 94,373 is 35062.
Thus, GCF of Fractions is 1/35062.Finally, GCF of Fractions for 369/94, 7442/373 is 1/35062.