GCF of 4069/621, 9802/3994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4069/621, 9802/3994 i.e 13/2480274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4069/621, 9802/3994.
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 4069/621,9802/3994?
Given fractions are 4069/621,9802/3994
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 4069/621,9802/3994, numerators are 4069,9802
Denominators are 621,3994
The GCF of 4069,9802 is 13 .
LCM of 621,3994 is 2480274.
The greatest common factor of 4069/621,9802/3994 = [GCF of 4069,9802]/[LCM of 621,3994]= 13/2480274
Therefore, the GCF of 4069/621,9802/3994 is 13/2480274.
To find the highest common factor of 4069,9802, we have to find the factors of both numbers and list the highest common factor.
The factors of 4069 are 1, 13, 313, 4069
The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
The HCF of 4069,9802 is 13.
Lets's calculate GCF of 4069,9802
| 13 | 4069, 9802 |
| 313, 754 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4069,9802 By Matching Biggest Common Factor Method
Now, list down the factors of 4069
:1,13,313,4069
Now, list down the factors of 9802
:1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 4069,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,9802 is 13.
Lets's calculate LCM of 621,3994
Given numbers has no common factors except 1. So, there LCM is their product i.e 2480274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2480274
Therefore, the GCF of Fractions 4069/621,9802/3994 is 13/2480274
Least Common Multiple of 621,3994 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 621,3994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,3994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,3994) x common factors =1 x 1 = 1
LCM(621,3994) = ( 621 × 3994 ) / 1
LCM(621,3994) = 2480274 / 1
LCM(621,3994) = 2480274
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FAQs on GCF of Fractions of 4069/621, 9802/3994
1. What is the HCF of 4069,9802?
The HCF of 4069,9802 is 13
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 4069/621, 9802/3994?
Answer: GCF of Numerators as per given numbers 4069/621, 9802/3994 is
GCF of Numerators i.e. for 4069,9802 is 13
LCM of denominators i.e. for 621,3994 is 2480274.
Thus, GCF of Fractions is 13/2480274.Finally, GCF of Fractions for 4069/621, 9802/3994 is 13/2480274.