Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 893/253,6510/9234
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 893,6510
Greatest Common Factor of Numerators i.e. GCF of 893,6510 is 1 .
LCM of Denominators means LCM of 253,9234 as per the given fractions.
LCM of 253,9234 is 2336202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 893,6510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 6510
List of positive integer factors of 6510 that divides 6510 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 893,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 893,6510 is 1.
Lets's calculate LCM of 253,9234
Given numbers has no common factors except 1. So, there LCM is their product i.e 2336202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2336202
Therefore, the GCF of Fractions 893/253,6510/9234 is 1/2336202
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 253,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,9234) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,9234) x common factors =1 x 1 = 1
LCM(253,9234) = ( 253 × 9234 ) / 1
LCM(253,9234) = 2336202 / 1
LCM(253,9234) = 2336202
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 893/253, 6510/9234?
Answer: GCF of Numerators as per given numbers 893/253, 6510/9234 is
GCF of Numerators i.e. for 893,6510 is 1
LCM of denominators i.e. for 253,9234 is 2336202.
Thus, GCF of Fractions is 1/2336202.Finally, GCF of Fractions for 893/253, 6510/9234 is 1/2336202.