Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9554/700,7657/5393
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 9554,7657
Greatest Common Factor of Numerators i.e. GCF of 9554,7657 is 1 .
LCM of Denominators means LCM of 700,5393 as per the given fractions.
LCM of 700,5393 is 3775100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9554,7657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9554
List of positive integer factors of 9554 that divides 9554 without a remainder.
1,2,17,34,281,562,4777,9554
Factors of 7657
List of positive integer factors of 7657 that divides 7657 without a remainder.
1,13,19,31,247,403,589,7657
Greatest Common Factor
We found the factors 9554,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 9554,7657 is 1.
Lets's calculate LCM of 700,5393
Given numbers has no common factors except 1. So, there LCM is their product i.e 3775100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3775100
Therefore, the GCF of Fractions 9554/700,7657/5393 is 1/3775100
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 700,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,5393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,5393) x common factors =1 x 1 = 1
LCM(700,5393) = ( 700 × 5393 ) / 1
LCM(700,5393) = 3775100 / 1
LCM(700,5393) = 3775100
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 9554/700, 7657/5393?
Answer: GCF of Numerators as per given numbers 9554/700, 7657/5393 is
GCF of Numerators i.e. for 9554,7657 is 1
LCM of denominators i.e. for 700,5393 is 3775100.
Thus, GCF of Fractions is 1/3775100.Finally, GCF of Fractions for 9554/700, 7657/5393 is 1/3775100.