GCF of 1756/226, 9234/3388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1756/226, 9234/3388 i.e 2/382844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1756/226, 9234/3388.
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 1756/226,9234/3388?
Given fractions are 1756/226,9234/3388
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 1756/226,9234/3388, numerators are 1756,9234
Denominators are 226,3388
The GCF of 1756,9234 is 2 .
LCM of 226,3388 is 382844.
The greatest common factor of 1756/226,9234/3388 = [GCF of 1756,9234]/[LCM of 226,3388]= 2/382844
Therefore, the GCF of 1756/226,9234/3388 is 2/382844.
To find the highest common factor of 1756,9234, we have to find the factors of both numbers and list the highest common factor.
The factors of 1756 are 1, 2, 4, 439, 878, 1756
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The HCF of 1756,9234 is 2.
Lets's calculate GCF of 1756,9234
| 2 | 1756, 9234 |
| 878, 4617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1756,9234 By Matching Biggest Common Factor Method
Now, list down the factors of 1756
:1,2,4,439,878,1756
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 1756,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 1756,9234 is 2.
Lets's calculate LCM of 226,3388
| 2 | 226, 3388 |
| 113, 1694 |
∴ So the LCM of the given numbers is 2 x 113 x 1694 = 382844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382844
Therefore, the GCF of Fractions 1756/226,9234/3388 is 2/382844
Least Common Multiple of 226,3388 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 226,3388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,3388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,3388) x common factors =2 x 1 = 2
LCM(226,3388) = ( 226 × 3388 ) / 2
LCM(226,3388) = 765688 / 2
LCM(226,3388) = 382844
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FAQs on GCF of Fractions of 1756/226, 9234/3388
1. What is the HCF of 1756,9234?
The HCF of 1756,9234 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 1756/226, 9234/3388?
Answer: GCF of Numerators as per given numbers 1756/226, 9234/3388 is
GCF of Numerators i.e. for 1756,9234 is 2
LCM of denominators i.e. for 226,3388 is 382844.
Thus, GCF of Fractions is 2/382844.Finally, GCF of Fractions for 1756/226, 9234/3388 is 2/382844.