Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/883,6407/7276
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 554,6407
Greatest Common Factor of Numerators i.e. GCF of 554,6407 is 1 .
LCM of Denominators means LCM of 883,7276 as per the given fractions.
LCM of 883,7276 is 6424708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,6407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 6407
List of positive integer factors of 6407 that divides 6407 without a remainder.
1,43,149,6407
Greatest Common Factor
We found the factors 554,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 554,6407 is 1.
Lets's calculate LCM of 883,7276
Given numbers has no common factors except 1. So, there LCM is their product i.e 6424708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6424708
Therefore, the GCF of Fractions 554/883,6407/7276 is 1/6424708
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 883,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,7276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,7276) x common factors =1 x 1 = 1
LCM(883,7276) = ( 883 × 7276 ) / 1
LCM(883,7276) = 6424708 / 1
LCM(883,7276) = 6424708
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 554/883, 6407/7276?
Answer: GCF of Numerators as per given numbers 554/883, 6407/7276 is
GCF of Numerators i.e. for 554,6407 is 1
LCM of denominators i.e. for 883,7276 is 6424708.
Thus, GCF of Fractions is 1/6424708.Finally, GCF of Fractions for 554/883, 6407/7276 is 1/6424708.