GCF of 6237/692, 1794/4326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6237/692, 1794/4326 i.e 3/1496796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/692, 1794/4326.
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 6237/692,1794/4326?
Given fractions are 6237/692,1794/4326
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 6237/692,1794/4326, numerators are 6237,1794
Denominators are 692,4326
The GCF of 6237,1794 is 3 .
LCM of 692,4326 is 1496796.
The greatest common factor of 6237/692,1794/4326 = [GCF of 6237,1794]/[LCM of 692,4326]= 3/1496796
Therefore, the GCF of 6237/692,1794/4326 is 3/1496796.
To find the highest common factor of 6237,1794, 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 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794
The HCF of 6237,1794 is 3.
Lets's calculate GCF of 6237,1794
| 3 | 6237, 1794 |
| 2079, 598 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6237,1794 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 1794
:1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Greatest Common Factor
We found the factors 6237,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,1794 is 3.
Lets's calculate LCM of 692,4326
| 2 | 692, 4326 |
| 346, 2163 |
∴ So the LCM of the given numbers is 2 x 346 x 2163 = 1496796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1496796
Therefore, the GCF of Fractions 6237/692,1794/4326 is 3/1496796
Least Common Multiple of 692,4326 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 692,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4326) x common factors =2 x 1 = 2
LCM(692,4326) = ( 692 × 4326 ) / 2
LCM(692,4326) = 2993592 / 2
LCM(692,4326) = 1496796
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FAQs on GCF of Fractions of 6237/692, 1794/4326
1. What is the HCF of 6237,1794?
The HCF of 6237,1794 is 3
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 6237/692, 1794/4326?
Answer: GCF of Numerators as per given numbers 6237/692, 1794/4326 is
GCF of Numerators i.e. for 6237,1794 is 3
LCM of denominators i.e. for 692,4326 is 1496796.
Thus, GCF of Fractions is 3/1496796.Finally, GCF of Fractions for 6237/692, 1794/4326 is 3/1496796.