GCF of 8369/452, 3444/2266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8369/452, 3444/2266 i.e 1/512116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8369/452, 3444/2266.
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 8369/452,3444/2266?
Given fractions are 8369/452,3444/2266
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 8369/452,3444/2266, numerators are 8369,3444
Denominators are 452,2266
The GCF of 8369,3444 is 1 .
LCM of 452,2266 is 512116.
The greatest common factor of 8369/452,3444/2266 = [GCF of 8369,3444]/[LCM of 452,2266]= 1/512116
Therefore, the GCF of 8369/452,3444/2266 is 1/512116.
To find the highest common factor of 8369,3444, we have to find the factors of both numbers and list the highest common factor.
The factors of 8369 are 1, 8369
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
The HCF of 8369,3444 is 1.
Lets's calculate GCF of 8369,3444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8369,3444 By Matching Biggest Common Factor Method
Now, list down the factors of 8369
:1,8369
Now, list down the factors of 3444
:1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 8369,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 8369,3444 is 1.
Lets's calculate LCM of 452,2266
| 2 | 452, 2266 |
| 226, 1133 |
∴ So the LCM of the given numbers is 2 x 226 x 1133 = 512116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512116
Therefore, the GCF of Fractions 8369/452,3444/2266 is 1/512116
Least Common Multiple of 452,2266 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 452,2266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,2266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,2266) x common factors =2 x 1 = 2
LCM(452,2266) = ( 452 × 2266 ) / 2
LCM(452,2266) = 1024232 / 2
LCM(452,2266) = 512116
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FAQs on GCF of Fractions of 8369/452, 3444/2266
1. What is the HCF of 8369,3444?
The HCF of 8369,3444 is 1
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 8369/452, 3444/2266?
Answer: GCF of Numerators as per given numbers 8369/452, 3444/2266 is
GCF of Numerators i.e. for 8369,3444 is 1
LCM of denominators i.e. for 452,2266 is 512116.
Thus, GCF of Fractions is 1/512116.Finally, GCF of Fractions for 8369/452, 3444/2266 is 1/512116.