GCF of 5782/126, 4473/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5782/126, 4473/344 i.e 7/21672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5782/126, 4473/344.
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 5782/126,4473/344?
Given fractions are 5782/126,4473/344
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 5782/126,4473/344, numerators are 5782,4473
Denominators are 126,344
The GCF of 5782,4473 is 7 .
LCM of 126,344 is 21672.
The greatest common factor of 5782/126,4473/344 = [GCF of 5782,4473]/[LCM of 126,344]= 7/21672
Therefore, the GCF of 5782/126,4473/344 is 7/21672.
To find the highest common factor of 5782,4473, we have to find the factors of both numbers and list the highest common factor.
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473
The HCF of 5782,4473 is 7.
Lets's calculate GCF of 5782,4473
| 7 | 5782, 4473 |
| 826, 639 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5782,4473 By Matching Biggest Common Factor Method
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Now, list down the factors of 4473
:1,3,7,9,21,63,71,213,497,639,1491,4473
Greatest Common Factor
We found the factors 5782,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 5782,4473 is 7.
Lets's calculate LCM of 126,344
| 2 | 126, 344 |
| 63, 172 |
∴ So the LCM of the given numbers is 2 x 63 x 172 = 21672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/21672
Therefore, the GCF of Fractions 5782/126,4473/344 is 7/21672
Least Common Multiple of 126,344 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 126,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(126,344) x common factors =2 x 1 = 2
LCM(126,344) = ( 126 × 344 ) / 2
LCM(126,344) = 43344 / 2
LCM(126,344) = 21672
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FAQs on GCF of Fractions of 5782/126, 4473/344
1. What is the HCF of 5782,4473?
The HCF of 5782,4473 is 7
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 5782/126, 4473/344?
Answer: GCF of Numerators as per given numbers 5782/126, 4473/344 is
GCF of Numerators i.e. for 5782,4473 is 7
LCM of denominators i.e. for 126,344 is 21672.
Thus, GCF of Fractions is 7/21672.Finally, GCF of Fractions for 5782/126, 4473/344 is 7/21672.