Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/7402,604/4673
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 897,604
Greatest Common Factor of Numerators i.e. GCF of 897,604 is 1 .
LCM of Denominators means LCM of 7402,4673 as per the given fractions.
LCM of 7402,4673 is 34589546 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,604
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 897,604 . The biggest common factor number is the GCF number.
So the greatest common factor 897,604 is 1.
Lets's calculate LCM of 7402,4673
Given numbers has no common factors except 1. So, there LCM is their product i.e 34589546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34589546
Therefore, the GCF of Fractions 897/7402,604/4673 is 1/34589546
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 7402,4673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7402,4673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7402,4673) x common factors =1 x 1 = 1
LCM(7402,4673) = ( 7402 × 4673 ) / 1
LCM(7402,4673) = 34589546 / 1
LCM(7402,4673) = 34589546
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 897/7402, 604/4673?
Answer: GCF of Numerators as per given numbers 897/7402, 604/4673 is
GCF of Numerators i.e. for 897,604 is 1
LCM of denominators i.e. for 7402,4673 is 34589546.
Thus, GCF of Fractions is 1/34589546.Finally, GCF of Fractions for 897/7402, 604/4673 is 1/34589546.