Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/47,707/637
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 848,707
Greatest Common Factor of Numerators i.e. GCF of 848,707 is 1 .
LCM of Denominators means LCM of 47,637 as per the given fractions.
LCM of 47,637 is 29939 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 848,707 . The biggest common factor number is the GCF number.
So the greatest common factor 848,707 is 1.
Lets's calculate LCM of 47,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 29939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29939
Therefore, the GCF of Fractions 848/47,707/637 is 1/29939
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 47,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,637) x common factors =1 x 1 = 1
LCM(47,637) = ( 47 × 637 ) / 1
LCM(47,637) = 29939 / 1
LCM(47,637) = 29939
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 848/47, 707/637?
Answer: GCF of Numerators as per given numbers 848/47, 707/637 is
GCF of Numerators i.e. for 848,707 is 1
LCM of denominators i.e. for 47,637 is 29939.
Thus, GCF of Fractions is 1/29939.Finally, GCF of Fractions for 848/47, 707/637 is 1/29939.