GCF of 4452/801, 4072/9441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/801, 4072/9441 i.e 4/840249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/801, 4072/9441.
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 4452/801,4072/9441?
Given fractions are 4452/801,4072/9441
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 4452/801,4072/9441, numerators are 4452,4072
Denominators are 801,9441
The GCF of 4452,4072 is 4 .
LCM of 801,9441 is 840249.
The greatest common factor of 4452/801,4072/9441 = [GCF of 4452,4072]/[LCM of 801,9441]= 4/840249
Therefore, the GCF of 4452/801,4072/9441 is 4/840249.
To find the highest common factor of 4452,4072, 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 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072
The HCF of 4452,4072 is 4.
Lets's calculate GCF of 4452,4072
| 2 | 4452, 4072 |
| 2 | 2226, 2036 |
| 1113, 1018 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4452,4072 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 4072
:1,2,4,8,509,1018,2036,4072
Greatest Common Factor
We found the factors 4452,4072 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,4072 is 4.
Lets's calculate LCM of 801,9441
| 3 | 801, 9441 |
| 3 | 267, 3147 |
| 89, 1049 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 1049 = 840249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/840249
Therefore, the GCF of Fractions 4452/801,4072/9441 is 4/840249
Least Common Multiple of 801,9441 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 801,9441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,9441) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(801,9441) x common factors =9 x 1 = 9
LCM(801,9441) = ( 801 × 9441 ) / 9
LCM(801,9441) = 7562241 / 9
LCM(801,9441) = 840249
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FAQs on GCF of Fractions of 4452/801, 4072/9441
1. What is the HCF of 4452,4072?
The HCF of 4452,4072 is 4
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 4452/801, 4072/9441?
Answer: GCF of Numerators as per given numbers 4452/801, 4072/9441 is
GCF of Numerators i.e. for 4452,4072 is 4
LCM of denominators i.e. for 801,9441 is 840249.
Thus, GCF of Fractions is 4/840249.Finally, GCF of Fractions for 4452/801, 4072/9441 is 4/840249.