GCF of 6237/832, 4334/2860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6237/832, 4334/2860 i.e 11/45760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/832, 4334/2860.
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 6237/832,4334/2860?
Given fractions are 6237/832,4334/2860
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 6237/832,4334/2860, numerators are 6237,4334
Denominators are 832,2860
The GCF of 6237,4334 is 11 .
LCM of 832,2860 is 45760.
The greatest common factor of 6237/832,4334/2860 = [GCF of 6237,4334]/[LCM of 832,2860]= 11/45760
Therefore, the GCF of 6237/832,4334/2860 is 11/45760.
To find the highest common factor of 6237,4334, we have to find the factors of both numbers and list the highest common factor.
The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The HCF of 6237,4334 is 11.
Lets's calculate GCF of 6237,4334
| 11 | 6237, 4334 |
| 567, 394 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6237,4334 By Matching Biggest Common Factor Method
Now, list down the factors of 6237
:1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Greatest Common Factor
We found the factors 6237,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,4334 is 11.
Lets's calculate LCM of 832,2860
| 2 | 832, 2860 |
| 2 | 416, 1430 |
| 13 | 208, 715 |
| 16, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 16 x 55 = 45760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/45760
Therefore, the GCF of Fractions 6237/832,4334/2860 is 11/45760
Least Common Multiple of 832,2860 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 832,2860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,2860) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(832,2860) x common factors =52 x 1 = 52
LCM(832,2860) = ( 832 × 2860 ) / 52
LCM(832,2860) = 2379520 / 52
LCM(832,2860) = 45760
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FAQs on GCF of Fractions of 6237/832, 4334/2860
1. What is the HCF of 6237,4334?
The HCF of 6237,4334 is 11
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 6237/832, 4334/2860?
Answer: GCF of Numerators as per given numbers 6237/832, 4334/2860 is
GCF of Numerators i.e. for 6237,4334 is 11
LCM of denominators i.e. for 832,2860 is 45760.
Thus, GCF of Fractions is 11/45760.Finally, GCF of Fractions for 6237/832, 4334/2860 is 11/45760.