GCF of 9898/636, 3623/3935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9898/636, 3623/3935 i.e 1/2502660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9898/636, 3623/3935.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9898/636,3623/3935?
Given fractions are 9898/636,3623/3935
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9898/636,3623/3935, numerators are 9898,3623
Denominators are 636,3935
The GCF of 9898,3623 is 1 .
LCM of 636,3935 is 2502660.
The greatest common factor of 9898/636,3623/3935 = [GCF of 9898,3623]/[LCM of 636,3935]= 1/2502660
Therefore, the GCF of 9898/636,3623/3935 is 1/2502660.
To find the highest common factor of 9898,3623, we have to find the factors of both numbers and list the highest common factor.
The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898
The factors of 3623 are 1, 3623
The HCF of 9898,3623 is 1.
Lets's calculate GCF of 9898,3623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9898,3623 By Matching Biggest Common Factor Method
Now, list down the factors of 9898
:1,2,7,14,49,98,101,202,707,1414,4949,9898
Now, list down the factors of 3623
:1,3623
Greatest Common Factor
We found the factors 9898,3623 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,3623 is 1.
Lets's calculate LCM of 636,3935
Given numbers has no common factors except 1. So, there LCM is their product i.e 2502660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2502660
Therefore, the GCF of Fractions 9898/636,3623/3935 is 1/2502660
Least Common Multiple of 636,3935 with GCF Formula
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 636,3935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3935) x common factors =1 x 1 = 1
LCM(636,3935) = ( 636 × 3935 ) / 1
LCM(636,3935) = 2502660 / 1
LCM(636,3935) = 2502660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9898/636, 3623/3935
1. What is the HCF of 9898,3623?
The HCF of 9898,3623 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 9898/636, 3623/3935?
Answer: GCF of Numerators as per given numbers 9898/636, 3623/3935 is
GCF of Numerators i.e. for 9898,3623 is 1
LCM of denominators i.e. for 636,3935 is 2502660.
Thus, GCF of Fractions is 1/2502660.Finally, GCF of Fractions for 9898/636, 3623/3935 is 1/2502660.