GCF of 8769/235, 3387/2622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8769/235, 3387/2622 i.e 3/616170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8769/235, 3387/2622.
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 8769/235,3387/2622?
Given fractions are 8769/235,3387/2622
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 8769/235,3387/2622, numerators are 8769,3387
Denominators are 235,2622
The GCF of 8769,3387 is 3 .
LCM of 235,2622 is 616170.
The greatest common factor of 8769/235,3387/2622 = [GCF of 8769,3387]/[LCM of 235,2622]= 3/616170
Therefore, the GCF of 8769/235,3387/2622 is 3/616170.
To find the highest common factor of 8769,3387, we have to find the factors of both numbers and list the highest common factor.
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The factors of 3387 are 1, 3, 1129, 3387
The HCF of 8769,3387 is 3.
Lets's calculate GCF of 8769,3387
| 3 | 8769, 3387 |
| 2923, 1129 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8769,3387 By Matching Biggest Common Factor Method
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Now, list down the factors of 3387
:1,3,1129,3387
Greatest Common Factor
We found the factors 8769,3387 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,3387 is 3.
Lets's calculate LCM of 235,2622
Given numbers has no common factors except 1. So, there LCM is their product i.e 616170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/616170
Therefore, the GCF of Fractions 8769/235,3387/2622 is 3/616170
Least Common Multiple of 235,2622 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 235,2622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,2622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,2622) x common factors =1 x 1 = 1
LCM(235,2622) = ( 235 × 2622 ) / 1
LCM(235,2622) = 616170 / 1
LCM(235,2622) = 616170
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FAQs on GCF of Fractions of 8769/235, 3387/2622
1. What is the HCF of 8769,3387?
The HCF of 8769,3387 is 3
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 8769/235, 3387/2622?
Answer: GCF of Numerators as per given numbers 8769/235, 3387/2622 is
GCF of Numerators i.e. for 8769,3387 is 3
LCM of denominators i.e. for 235,2622 is 616170.
Thus, GCF of Fractions is 3/616170.Finally, GCF of Fractions for 8769/235, 3387/2622 is 3/616170.