Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/43,6268/624
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 907,6268
Greatest Common Factor of Numerators i.e. GCF of 907,6268 is 1 .
LCM of Denominators means LCM of 43,624 as per the given fractions.
LCM of 43,624 is 26832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,6268
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 6268
List of positive integer factors of 6268 that divides 6268 without a remainder.
1,2,4,1567,3134,6268
Greatest Common Factor
We found the factors 907,6268 . The biggest common factor number is the GCF number.
So the greatest common factor 907,6268 is 1.
Lets's calculate LCM of 43,624
Given numbers has no common factors except 1. So, there LCM is their product i.e 26832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26832
Therefore, the GCF of Fractions 907/43,6268/624 is 1/26832
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 43,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,624) x common factors =1 x 1 = 1
LCM(43,624) = ( 43 × 624 ) / 1
LCM(43,624) = 26832 / 1
LCM(43,624) = 26832
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 907/43, 6268/624?
Answer: GCF of Numerators as per given numbers 907/43, 6268/624 is
GCF of Numerators i.e. for 907,6268 is 1
LCM of denominators i.e. for 43,624 is 26832.
Thus, GCF of Fractions is 1/26832.Finally, GCF of Fractions for 907/43, 6268/624 is 1/26832.