GCF of 4464/841, 5436/797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4464/841, 5436/797 i.e 36/670277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4464/841, 5436/797.
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 4464/841,5436/797?
Given fractions are 4464/841,5436/797
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 4464/841,5436/797, numerators are 4464,5436
Denominators are 841,797
The GCF of 4464,5436 is 36 .
LCM of 841,797 is 670277.
The greatest common factor of 4464/841,5436/797 = [GCF of 4464,5436]/[LCM of 841,797]= 36/670277
Therefore, the GCF of 4464/841,5436/797 is 36/670277.
To find the highest common factor of 4464,5436, we have to find the factors of both numbers and list the highest common factor.
The factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464
The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436
The HCF of 4464,5436 is 36.
Lets's calculate GCF of 4464,5436
| 2 | 4464, 5436 |
| 2 | 2232, 2718 |
| 3 | 1116, 1359 |
| 3 | 372, 453 |
| 124, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 4464,5436 By Matching Biggest Common Factor Method
Now, list down the factors of 4464
:1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464
Now, list down the factors of 5436
:1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Greatest Common Factor
We found the factors 4464,5436 . The biggest common factor number is the GCF number.
So the greatest common factor 4464,5436 is 36.
Lets's calculate LCM of 841,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 670277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/670277
Therefore, the GCF of Fractions 4464/841,5436/797 is 36/670277
Least Common Multiple of 841,797 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 841,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,797) x common factors =1 x 1 = 1
LCM(841,797) = ( 841 × 797 ) / 1
LCM(841,797) = 670277 / 1
LCM(841,797) = 670277
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FAQs on GCF of Fractions of 4464/841, 5436/797
1. What is the HCF of 4464,5436?
The HCF of 4464,5436 is 36
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 4464/841, 5436/797?
Answer: GCF of Numerators as per given numbers 4464/841, 5436/797 is
GCF of Numerators i.e. for 4464,5436 is 36
LCM of denominators i.e. for 841,797 is 670277.
Thus, GCF of Fractions is 36/670277.Finally, GCF of Fractions for 4464/841, 5436/797 is 36/670277.