GCF of 5644/604, 9464/1424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5644/604, 9464/1424 i.e 4/215024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5644/604, 9464/1424.
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 5644/604,9464/1424?
Given fractions are 5644/604,9464/1424
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 5644/604,9464/1424, numerators are 5644,9464
Denominators are 604,1424
The GCF of 5644,9464 is 4 .
LCM of 604,1424 is 215024.
The greatest common factor of 5644/604,9464/1424 = [GCF of 5644,9464]/[LCM of 604,1424]= 4/215024
Therefore, the GCF of 5644/604,9464/1424 is 4/215024.
To find the highest common factor of 5644,9464, we have to find the factors of both numbers and list the highest common factor.
The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The HCF of 5644,9464 is 4.
Lets's calculate GCF of 5644,9464
| 2 | 5644, 9464 |
| 2 | 2822, 4732 |
| 1411, 2366 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5644,9464 By Matching Biggest Common Factor Method
Now, list down the factors of 5644
:1,2,4,17,34,68,83,166,332,1411,2822,5644
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Greatest Common Factor
We found the factors 5644,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,9464 is 4.
Lets's calculate LCM of 604,1424
| 2 | 604, 1424 |
| 2 | 302, 712 |
| 151, 356 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 356 = 215024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/215024
Therefore, the GCF of Fractions 5644/604,9464/1424 is 4/215024
Least Common Multiple of 604,1424 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 604,1424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,1424) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,1424) x common factors =4 x 1 = 4
LCM(604,1424) = ( 604 × 1424 ) / 4
LCM(604,1424) = 860096 / 4
LCM(604,1424) = 215024
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FAQs on GCF of Fractions of 5644/604, 9464/1424
1. What is the HCF of 5644,9464?
The HCF of 5644,9464 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 5644/604, 9464/1424?
Answer: GCF of Numerators as per given numbers 5644/604, 9464/1424 is
GCF of Numerators i.e. for 5644,9464 is 4
LCM of denominators i.e. for 604,1424 is 215024.
Thus, GCF of Fractions is 4/215024.Finally, GCF of Fractions for 5644/604, 9464/1424 is 4/215024.