Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1270/837,6767/8303
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 1270,6767
Greatest Common Factor of Numerators i.e. GCF of 1270,6767 is 1 .
LCM of Denominators means LCM of 837,8303 as per the given fractions.
LCM of 837,8303 is 6949611 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1270,6767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1270
List of positive integer factors of 1270 that divides 1270 without a remainder.
1,2,5,10,127,254,635,1270
Factors of 6767
List of positive integer factors of 6767 that divides 6767 without a remainder.
1,67,101,6767
Greatest Common Factor
We found the factors 1270,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,6767 is 1.
Lets's calculate LCM of 837,8303
Given numbers has no common factors except 1. So, there LCM is their product i.e 6949611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6949611
Therefore, the GCF of Fractions 1270/837,6767/8303 is 1/6949611
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 837,8303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,8303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,8303) x common factors =1 x 1 = 1
LCM(837,8303) = ( 837 × 8303 ) / 1
LCM(837,8303) = 6949611 / 1
LCM(837,8303) = 6949611
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 1270/837, 6767/8303?
Answer: GCF of Numerators as per given numbers 1270/837, 6767/8303 is
GCF of Numerators i.e. for 1270,6767 is 1
LCM of denominators i.e. for 837,8303 is 6949611.
Thus, GCF of Fractions is 1/6949611.Finally, GCF of Fractions for 1270/837, 6767/8303 is 1/6949611.