Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5621/771,6275/4373
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 5621,6275
Greatest Common Factor of Numerators i.e. GCF of 5621,6275 is 1 .
LCM of Denominators means LCM of 771,4373 as per the given fractions.
LCM of 771,4373 is 3371583 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5621,6275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5621
List of positive integer factors of 5621 that divides 5621 without a remainder.
1,7,11,73,77,511,803,5621
Factors of 6275
List of positive integer factors of 6275 that divides 6275 without a remainder.
1,5,25,251,1255,6275
Greatest Common Factor
We found the factors 5621,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,6275 is 1.
Lets's calculate LCM of 771,4373
Given numbers has no common factors except 1. So, there LCM is their product i.e 3371583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3371583
Therefore, the GCF of Fractions 5621/771,6275/4373 is 1/3371583
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 771,4373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,4373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,4373) x common factors =1 x 1 = 1
LCM(771,4373) = ( 771 × 4373 ) / 1
LCM(771,4373) = 3371583 / 1
LCM(771,4373) = 3371583
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 5621/771, 6275/4373?
Answer: GCF of Numerators as per given numbers 5621/771, 6275/4373 is
GCF of Numerators i.e. for 5621,6275 is 1
LCM of denominators i.e. for 771,4373 is 3371583.
Thus, GCF of Fractions is 1/3371583.Finally, GCF of Fractions for 5621/771, 6275/4373 is 1/3371583.