GCF of 4732/440, 7423/4124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/440, 7423/4124 i.e 13/453640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/440, 7423/4124.
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 4732/440,7423/4124?
Given fractions are 4732/440,7423/4124
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 4732/440,7423/4124, numerators are 4732,7423
Denominators are 440,4124
The GCF of 4732,7423 is 13 .
LCM of 440,4124 is 453640.
The greatest common factor of 4732/440,7423/4124 = [GCF of 4732,7423]/[LCM of 440,4124]= 13/453640
Therefore, the GCF of 4732/440,7423/4124 is 13/453640.
To find the highest common factor of 4732,7423, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 7423 are 1, 13, 571, 7423
The HCF of 4732,7423 is 13.
Lets's calculate GCF of 4732,7423
| 13 | 4732, 7423 |
| 364, 571 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4732,7423 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 7423
:1,13,571,7423
Greatest Common Factor
We found the factors 4732,7423 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,7423 is 13.
Lets's calculate LCM of 440,4124
| 2 | 440, 4124 |
| 2 | 220, 2062 |
| 110, 1031 |
∴ So the LCM of the given numbers is 2 x 2 x 110 x 1031 = 453640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/453640
Therefore, the GCF of Fractions 4732/440,7423/4124 is 13/453640
Least Common Multiple of 440,4124 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 440,4124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,4124) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(440,4124) x common factors =4 x 1 = 4
LCM(440,4124) = ( 440 × 4124 ) / 4
LCM(440,4124) = 1814560 / 4
LCM(440,4124) = 453640
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FAQs on GCF of Fractions of 4732/440, 7423/4124
1. What is the HCF of 4732,7423?
The HCF of 4732,7423 is 13
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 4732/440, 7423/4124?
Answer: GCF of Numerators as per given numbers 4732/440, 7423/4124 is
GCF of Numerators i.e. for 4732,7423 is 13
LCM of denominators i.e. for 440,4124 is 453640.
Thus, GCF of Fractions is 13/453640.Finally, GCF of Fractions for 4732/440, 7423/4124 is 13/453640.