Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6722/98,9698/773
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 6722,9698
Greatest Common Factor of Numerators i.e. GCF of 6722,9698 is 2 .
LCM of Denominators means LCM of 98,773 as per the given fractions.
LCM of 98,773 is 75754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6722,9698
2 | 6722, 9698 |
3361, 4849 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6722
List of positive integer factors of 6722 that divides 6722 without a remainder.
1,2,3361,6722
Factors of 9698
List of positive integer factors of 9698 that divides 9698 without a remainder.
1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 6722,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 6722,9698 is 2.
Lets's calculate LCM of 98,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 75754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75754
Therefore, the GCF of Fractions 6722/98,9698/773 is 2/75754
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 98,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,773) x common factors =1 x 1 = 1
LCM(98,773) = ( 98 × 773 ) / 1
LCM(98,773) = 75754 / 1
LCM(98,773) = 75754
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 6722/98, 9698/773?
Answer: GCF of Numerators as per given numbers 6722/98, 9698/773 is
GCF of Numerators i.e. for 6722,9698 is 2
LCM of denominators i.e. for 98,773 is 75754.
Thus, GCF of Fractions is 2/75754.Finally, GCF of Fractions for 6722/98, 9698/773 is 2/75754.