GCF of 6234/622, 5340/4426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6234/622, 5340/4426 i.e 6/1376486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6234/622, 5340/4426.
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 6234/622,5340/4426?
Given fractions are 6234/622,5340/4426
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 6234/622,5340/4426, numerators are 6234,5340
Denominators are 622,4426
The GCF of 6234,5340 is 6 .
LCM of 622,4426 is 1376486.
The greatest common factor of 6234/622,5340/4426 = [GCF of 6234,5340]/[LCM of 622,4426]= 6/1376486
Therefore, the GCF of 6234/622,5340/4426 is 6/1376486.
To find the highest common factor of 6234,5340, we have to find the factors of both numbers and list the highest common factor.
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The HCF of 6234,5340 is 6.
Lets's calculate GCF of 6234,5340
| 2 | 6234, 5340 |
| 3 | 3117, 2670 |
| 1039, 890 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6234,5340 By Matching Biggest Common Factor Method
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 6234,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 6234,5340 is 6.
Lets's calculate LCM of 622,4426
| 2 | 622, 4426 |
| 311, 2213 |
∴ So the LCM of the given numbers is 2 x 311 x 2213 = 1376486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1376486
Therefore, the GCF of Fractions 6234/622,5340/4426 is 6/1376486
Least Common Multiple of 622,4426 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 622,4426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,4426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,4426) x common factors =2 x 1 = 2
LCM(622,4426) = ( 622 × 4426 ) / 2
LCM(622,4426) = 2752972 / 2
LCM(622,4426) = 1376486
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FAQs on GCF of Fractions of 6234/622, 5340/4426
1. What is the HCF of 6234,5340?
The HCF of 6234,5340 is 6
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 6234/622, 5340/4426?
Answer: GCF of Numerators as per given numbers 6234/622, 5340/4426 is
GCF of Numerators i.e. for 6234,5340 is 6
LCM of denominators i.e. for 622,4426 is 1376486.
Thus, GCF of Fractions is 6/1376486.Finally, GCF of Fractions for 6234/622, 5340/4426 is 6/1376486.