GCF of 836/85, 209/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 836/85, 209/809 i.e 209/68765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/85, 209/809.
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 836/85,209/809?
Given fractions are 836/85,209/809
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 836/85,209/809, numerators are 836,209
Denominators are 85,809
The GCF of 836,209 is 209 .
LCM of 85,809 is 68765.
The greatest common factor of 836/85,209/809 = [GCF of 836,209]/[LCM of 85,809]= 209/68765
Therefore, the GCF of 836/85,209/809 is 209/68765.
To find the highest common factor of 836,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The factors of 209 are 1, 11, 19, 209
The HCF of 836,209 is 209.
Lets's calculate GCF of 836,209
| 11 | 836, 209 |
| 19 | 76, 19 |
| 4, 1 |
∴ So the GCF of the given numbers is 11 x 19 = 209
Greatest Common Factor of 836,209 By Matching Biggest Common Factor Method
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 836,209 . The biggest common factor number is the GCF number.
So the greatest common factor 836,209 is 209.
Lets's calculate LCM of 85,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 68765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 209/68765
Therefore, the GCF of Fractions 836/85,209/809 is 209/68765
Least Common Multiple of 85,809 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 85,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,809) x common factors =1 x 1 = 1
LCM(85,809) = ( 85 × 809 ) / 1
LCM(85,809) = 68765 / 1
LCM(85,809) = 68765
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FAQs on GCF of Fractions of 836/85, 209/809
1. What is the HCF of 836,209?
The HCF of 836,209 is 209
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 836/85, 209/809?
Answer: GCF of Numerators as per given numbers 836/85, 209/809 is
GCF of Numerators i.e. for 836,209 is 209
LCM of denominators i.e. for 85,809 is 68765.
Thus, GCF of Fractions is 209/68765.Finally, GCF of Fractions for 836/85, 209/809 is 209/68765.