GCF of 6226/730, 2478/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6226/730, 2478/826 i.e 2/301490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6226/730, 2478/826.
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 6226/730,2478/826?
Given fractions are 6226/730,2478/826
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 6226/730,2478/826, numerators are 6226,2478
Denominators are 730,826
The GCF of 6226,2478 is 2 .
LCM of 730,826 is 301490.
The greatest common factor of 6226/730,2478/826 = [GCF of 6226,2478]/[LCM of 730,826]= 2/301490
Therefore, the GCF of 6226/730,2478/826 is 2/301490.
To find the highest common factor of 6226,2478, we have to find the factors of both numbers and list the highest common factor.
The factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The HCF of 6226,2478 is 2.
Lets's calculate GCF of 6226,2478
| 2 | 6226, 2478 |
| 3113, 1239 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6226,2478 By Matching Biggest Common Factor Method
Now, list down the factors of 6226
:1,2,11,22,283,566,3113,6226
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Greatest Common Factor
We found the factors 6226,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 6226,2478 is 2.
Lets's calculate LCM of 730,826
| 2 | 730, 826 |
| 365, 413 |
∴ So the LCM of the given numbers is 2 x 365 x 413 = 301490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/301490
Therefore, the GCF of Fractions 6226/730,2478/826 is 2/301490
Least Common Multiple of 730,826 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 730,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,826) x common factors =2 x 1 = 2
LCM(730,826) = ( 730 × 826 ) / 2
LCM(730,826) = 602980 / 2
LCM(730,826) = 301490
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FAQs on GCF of Fractions of 6226/730, 2478/826
1. What is the HCF of 6226,2478?
The HCF of 6226,2478 is 2
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 6226/730, 2478/826?
Answer: GCF of Numerators as per given numbers 6226/730, 2478/826 is
GCF of Numerators i.e. for 6226,2478 is 2
LCM of denominators i.e. for 730,826 is 301490.
Thus, GCF of Fractions is 2/301490.Finally, GCF of Fractions for 6226/730, 2478/826 is 2/301490.