GCF of 779/34, 209/8269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 779/34, 209/8269 i.e 19/281146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/34, 209/8269.
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 779/34,209/8269?
Given fractions are 779/34,209/8269
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 779/34,209/8269, numerators are 779,209
Denominators are 34,8269
The GCF of 779,209 is 19 .
LCM of 34,8269 is 281146.
The greatest common factor of 779/34,209/8269 = [GCF of 779,209]/[LCM of 34,8269]= 19/281146
Therefore, the GCF of 779/34,209/8269 is 19/281146.
To find the highest common factor of 779,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 209 are 1, 11, 19, 209
The HCF of 779,209 is 19.
Lets's calculate GCF of 779,209
| 19 | 779, 209 |
| 41, 11 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 779,209 By Matching Biggest Common Factor Method
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 779,209 . The biggest common factor number is the GCF number.
So the greatest common factor 779,209 is 19.
Lets's calculate LCM of 34,8269
Given numbers has no common factors except 1. So, there LCM is their product i.e 281146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/281146
Therefore, the GCF of Fractions 779/34,209/8269 is 19/281146
Least Common Multiple of 34,8269 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 34,8269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,8269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,8269) x common factors =1 x 1 = 1
LCM(34,8269) = ( 34 × 8269 ) / 1
LCM(34,8269) = 281146 / 1
LCM(34,8269) = 281146
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FAQs on GCF of Fractions of 779/34, 209/8269
1. What is the HCF of 779,209?
The HCF of 779,209 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 779/34, 209/8269?
Answer: GCF of Numerators as per given numbers 779/34, 209/8269 is
GCF of Numerators i.e. for 779,209 is 19
LCM of denominators i.e. for 34,8269 is 281146.
Thus, GCF of Fractions is 19/281146.Finally, GCF of Fractions for 779/34, 209/8269 is 19/281146.