GCF of 8256/757, 1394/5514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8256/757, 1394/5514 i.e 2/4174098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8256/757, 1394/5514.
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 8256/757,1394/5514?
Given fractions are 8256/757,1394/5514
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 8256/757,1394/5514, numerators are 8256,1394
Denominators are 757,5514
The GCF of 8256,1394 is 2 .
LCM of 757,5514 is 4174098.
The greatest common factor of 8256/757,1394/5514 = [GCF of 8256,1394]/[LCM of 757,5514]= 2/4174098
Therefore, the GCF of 8256/757,1394/5514 is 2/4174098.
To find the highest common factor of 8256,1394, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394
The HCF of 8256,1394 is 2.
Lets's calculate GCF of 8256,1394
| 2 | 8256, 1394 |
| 4128, 697 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8256,1394 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1394
:1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors 8256,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 8256,1394 is 2.
Lets's calculate LCM of 757,5514
Given numbers has no common factors except 1. So, there LCM is their product i.e 4174098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4174098
Therefore, the GCF of Fractions 8256/757,1394/5514 is 2/4174098
Least Common Multiple of 757,5514 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 757,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,5514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,5514) x common factors =1 x 1 = 1
LCM(757,5514) = ( 757 × 5514 ) / 1
LCM(757,5514) = 4174098 / 1
LCM(757,5514) = 4174098
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FAQs on GCF of Fractions of 8256/757, 1394/5514
1. What is the HCF of 8256,1394?
The HCF of 8256,1394 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 8256/757, 1394/5514?
Answer: GCF of Numerators as per given numbers 8256/757, 1394/5514 is
GCF of Numerators i.e. for 8256,1394 is 2
LCM of denominators i.e. for 757,5514 is 4174098.
Thus, GCF of Fractions is 2/4174098.Finally, GCF of Fractions for 8256/757, 1394/5514 is 2/4174098.