Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1078/505,5257/211
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 1078,5257
Greatest Common Factor of Numerators i.e. GCF of 1078,5257 is 7 .
LCM of Denominators means LCM of 505,211 as per the given fractions.
LCM of 505,211 is 106555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1078,5257
7 | 1078, 5257 |
154, 751 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 1078
List of positive integer factors of 1078 that divides 1078 without a remainder.
1,2,7,11,14,22,49,77,98,154,539,1078
Factors of 5257
List of positive integer factors of 5257 that divides 5257 without a remainder.
1,7,751,5257
Greatest Common Factor
We found the factors 1078,5257 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,5257 is 7.
Lets's calculate LCM of 505,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 106555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/106555
Therefore, the GCF of Fractions 1078/505,5257/211 is 7/106555
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 505,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,211) x common factors =1 x 1 = 1
LCM(505,211) = ( 505 × 211 ) / 1
LCM(505,211) = 106555 / 1
LCM(505,211) = 106555
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 1078/505, 5257/211?
Answer: GCF of Numerators as per given numbers 1078/505, 5257/211 is
GCF of Numerators i.e. for 1078,5257 is 7
LCM of denominators i.e. for 505,211 is 106555.
Thus, GCF of Fractions is 7/106555.Finally, GCF of Fractions for 1078/505, 5257/211 is 7/106555.