GCF of 3971/769, 2204/9671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3971/769, 2204/9671 i.e 19/7436999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3971/769, 2204/9671.
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 3971/769,2204/9671?
Given fractions are 3971/769,2204/9671
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 3971/769,2204/9671, numerators are 3971,2204
Denominators are 769,9671
The GCF of 3971,2204 is 19 .
LCM of 769,9671 is 7436999.
The greatest common factor of 3971/769,2204/9671 = [GCF of 3971,2204]/[LCM of 769,9671]= 19/7436999
Therefore, the GCF of 3971/769,2204/9671 is 19/7436999.
To find the highest common factor of 3971,2204, we have to find the factors of both numbers and list the highest common factor.
The factors of 3971 are 1, 11, 19, 209, 361, 3971
The factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204
The HCF of 3971,2204 is 19.
Lets's calculate GCF of 3971,2204
| 19 | 3971, 2204 |
| 209, 116 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3971,2204 By Matching Biggest Common Factor Method
Now, list down the factors of 3971
:1,11,19,209,361,3971
Now, list down the factors of 2204
:1,2,4,19,29,38,58,76,116,551,1102,2204
Greatest Common Factor
We found the factors 3971,2204 . The biggest common factor number is the GCF number.
So the greatest common factor 3971,2204 is 19.
Lets's calculate LCM of 769,9671
Given numbers has no common factors except 1. So, there LCM is their product i.e 7436999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/7436999
Therefore, the GCF of Fractions 3971/769,2204/9671 is 19/7436999
Least Common Multiple of 769,9671 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 769,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,9671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,9671) x common factors =1 x 1 = 1
LCM(769,9671) = ( 769 × 9671 ) / 1
LCM(769,9671) = 7436999 / 1
LCM(769,9671) = 7436999
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3971/769, 2204/9671
1. What is the HCF of 3971,2204?
The HCF of 3971,2204 is 19
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 3971/769, 2204/9671?
Answer: GCF of Numerators as per given numbers 3971/769, 2204/9671 is
GCF of Numerators i.e. for 3971,2204 is 19
LCM of denominators i.e. for 769,9671 is 7436999.
Thus, GCF of Fractions is 19/7436999.Finally, GCF of Fractions for 3971/769, 2204/9671 is 19/7436999.