GCF of 1938/232, 8256/8544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1938/232, 8256/8544 i.e 6/247776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1938/232, 8256/8544.
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 1938/232,8256/8544?
Given fractions are 1938/232,8256/8544
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 1938/232,8256/8544, numerators are 1938,8256
Denominators are 232,8544
The GCF of 1938,8256 is 6 .
LCM of 232,8544 is 247776.
The greatest common factor of 1938/232,8256/8544 = [GCF of 1938,8256]/[LCM of 232,8544]= 6/247776
Therefore, the GCF of 1938/232,8256/8544 is 6/247776.
To find the highest common factor of 1938,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 1938,8256 is 6.
Lets's calculate GCF of 1938,8256
| 2 | 1938, 8256 |
| 3 | 969, 4128 |
| 323, 1376 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1938,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 1938,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 1938,8256 is 6.
Lets's calculate LCM of 232,8544
| 2 | 232, 8544 |
| 2 | 116, 4272 |
| 2 | 58, 2136 |
| 29, 1068 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 1068 = 247776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/247776
Therefore, the GCF of Fractions 1938/232,8256/8544 is 6/247776
Least Common Multiple of 232,8544 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 232,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,8544) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(232,8544) x common factors =8 x 1 = 8
LCM(232,8544) = ( 232 × 8544 ) / 8
LCM(232,8544) = 1982208 / 8
LCM(232,8544) = 247776
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FAQs on GCF of Fractions of 1938/232, 8256/8544
1. What is the HCF of 1938,8256?
The HCF of 1938,8256 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 1938/232, 8256/8544?
Answer: GCF of Numerators as per given numbers 1938/232, 8256/8544 is
GCF of Numerators i.e. for 1938,8256 is 6
LCM of denominators i.e. for 232,8544 is 247776.
Thus, GCF of Fractions is 6/247776.Finally, GCF of Fractions for 1938/232, 8256/8544 is 6/247776.