Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1055/86,7508/687
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 1055,7508
Greatest Common Factor of Numerators i.e. GCF of 1055,7508 is 1 .
LCM of Denominators means LCM of 86,687 as per the given fractions.
LCM of 86,687 is 59082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1055,7508
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1055
List of positive integer factors of 1055 that divides 1055 without a remainder.
1,5,211,1055
Factors of 7508
List of positive integer factors of 7508 that divides 7508 without a remainder.
1,2,4,1877,3754,7508
Greatest Common Factor
We found the factors 1055,7508 . The biggest common factor number is the GCF number.
So the greatest common factor 1055,7508 is 1.
Lets's calculate LCM of 86,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 59082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59082
Therefore, the GCF of Fractions 1055/86,7508/687 is 1/59082
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 86,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,687) x common factors =1 x 1 = 1
LCM(86,687) = ( 86 × 687 ) / 1
LCM(86,687) = 59082 / 1
LCM(86,687) = 59082
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 1055/86, 7508/687?
Answer: GCF of Numerators as per given numbers 1055/86, 7508/687 is
GCF of Numerators i.e. for 1055,7508 is 1
LCM of denominators i.e. for 86,687 is 59082.
Thus, GCF of Fractions is 1/59082.Finally, GCF of Fractions for 1055/86, 7508/687 is 1/59082.