GCF of 8206/377, 9559/3651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8206/377, 9559/3651 i.e 11/1376427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8206/377, 9559/3651.
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 8206/377,9559/3651?
Given fractions are 8206/377,9559/3651
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 8206/377,9559/3651, numerators are 8206,9559
Denominators are 377,3651
The GCF of 8206,9559 is 11 .
LCM of 377,3651 is 1376427.
The greatest common factor of 8206/377,9559/3651 = [GCF of 8206,9559]/[LCM of 377,3651]= 11/1376427
Therefore, the GCF of 8206/377,9559/3651 is 11/1376427.
To find the highest common factor of 8206,9559, we have to find the factors of both numbers and list the highest common factor.
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The factors of 9559 are 1, 11, 79, 121, 869, 9559
The HCF of 8206,9559 is 11.
Lets's calculate GCF of 8206,9559
| 11 | 8206, 9559 |
| 746, 869 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8206,9559 By Matching Biggest Common Factor Method
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Now, list down the factors of 9559
:1,11,79,121,869,9559
Greatest Common Factor
We found the factors 8206,9559 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,9559 is 11.
Lets's calculate LCM of 377,3651
Given numbers has no common factors except 1. So, there LCM is their product i.e 1376427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1376427
Therefore, the GCF of Fractions 8206/377,9559/3651 is 11/1376427
Least Common Multiple of 377,3651 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 377,3651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,3651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,3651) x common factors =1 x 1 = 1
LCM(377,3651) = ( 377 × 3651 ) / 1
LCM(377,3651) = 1376427 / 1
LCM(377,3651) = 1376427
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FAQs on GCF of Fractions of 8206/377, 9559/3651
1. What is the HCF of 8206,9559?
The HCF of 8206,9559 is 11
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 8206/377, 9559/3651?
Answer: GCF of Numerators as per given numbers 8206/377, 9559/3651 is
GCF of Numerators i.e. for 8206,9559 is 11
LCM of denominators i.e. for 377,3651 is 1376427.
Thus, GCF of Fractions is 11/1376427.Finally, GCF of Fractions for 8206/377, 9559/3651 is 11/1376427.