Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5467/209,8237/7730
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 5467,8237
Greatest Common Factor of Numerators i.e. GCF of 5467,8237 is 1 .
LCM of Denominators means LCM of 209,7730 as per the given fractions.
LCM of 209,7730 is 1615570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5467,8237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5467
List of positive integer factors of 5467 that divides 5467 without a remainder.
1,7,11,71,77,497,781,5467
Factors of 8237
List of positive integer factors of 8237 that divides 8237 without a remainder.
1,8237
Greatest Common Factor
We found the factors 5467,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,8237 is 1.
Lets's calculate LCM of 209,7730
Given numbers has no common factors except 1. So, there LCM is their product i.e 1615570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615570
Therefore, the GCF of Fractions 5467/209,8237/7730 is 1/1615570
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 209,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,7730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,7730) x common factors =1 x 1 = 1
LCM(209,7730) = ( 209 × 7730 ) / 1
LCM(209,7730) = 1615570 / 1
LCM(209,7730) = 1615570
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 5467/209, 8237/7730?
Answer: GCF of Numerators as per given numbers 5467/209, 8237/7730 is
GCF of Numerators i.e. for 5467,8237 is 1
LCM of denominators i.e. for 209,7730 is 1615570.
Thus, GCF of Fractions is 1/1615570.Finally, GCF of Fractions for 5467/209, 8237/7730 is 1/1615570.