GCF of 4452/442, 7866/1309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/442, 7866/1309 i.e 6/34034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/442, 7866/1309.
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 4452/442,7866/1309?
Given fractions are 4452/442,7866/1309
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 4452/442,7866/1309, numerators are 4452,7866
Denominators are 442,1309
The GCF of 4452,7866 is 6 .
LCM of 442,1309 is 34034.
The greatest common factor of 4452/442,7866/1309 = [GCF of 4452,7866]/[LCM of 442,1309]= 6/34034
Therefore, the GCF of 4452/442,7866/1309 is 6/34034.
To find the highest common factor of 4452,7866, we have to find the factors of both numbers and list the highest common factor.
The factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452
The factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The HCF of 4452,7866 is 6.
Lets's calculate GCF of 4452,7866
| 2 | 4452, 7866 |
| 3 | 2226, 3933 |
| 742, 1311 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4452,7866 By Matching Biggest Common Factor Method
Now, list down the factors of 4452
:1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Now, list down the factors of 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Greatest Common Factor
We found the factors 4452,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,7866 is 6.
Lets's calculate LCM of 442,1309
| 17 | 442, 1309 |
| 26, 77 |
∴ So the LCM of the given numbers is 17 x 26 x 77 = 34034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/34034
Therefore, the GCF of Fractions 4452/442,7866/1309 is 6/34034
Least Common Multiple of 442,1309 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 442,1309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,1309) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(442,1309) x common factors =17 x 1 = 17
LCM(442,1309) = ( 442 × 1309 ) / 17
LCM(442,1309) = 578578 / 17
LCM(442,1309) = 34034
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FAQs on GCF of Fractions of 4452/442, 7866/1309
1. What is the HCF of 4452,7866?
The HCF of 4452,7866 is 6
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 4452/442, 7866/1309?
Answer: GCF of Numerators as per given numbers 4452/442, 7866/1309 is
GCF of Numerators i.e. for 4452,7866 is 6
LCM of denominators i.e. for 442,1309 is 34034.
Thus, GCF of Fractions is 6/34034.Finally, GCF of Fractions for 4452/442, 7866/1309 is 6/34034.