GCF of 5256/688, 8584/9182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5256/688, 8584/9182 i.e 8/3158608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5256/688, 8584/9182.
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 5256/688,8584/9182?
Given fractions are 5256/688,8584/9182
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 5256/688,8584/9182, numerators are 5256,8584
Denominators are 688,9182
The GCF of 5256,8584 is 8 .
LCM of 688,9182 is 3158608.
The greatest common factor of 5256/688,8584/9182 = [GCF of 5256,8584]/[LCM of 688,9182]= 8/3158608
Therefore, the GCF of 5256/688,8584/9182 is 8/3158608.
To find the highest common factor of 5256,8584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The HCF of 5256,8584 is 8.
Lets's calculate GCF of 5256,8584
| 2 | 5256, 8584 |
| 2 | 2628, 4292 |
| 2 | 1314, 2146 |
| 657, 1073 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5256,8584 By Matching Biggest Common Factor Method
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Greatest Common Factor
We found the factors 5256,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 5256,8584 is 8.
Lets's calculate LCM of 688,9182
| 2 | 688, 9182 |
| 344, 4591 |
∴ So the LCM of the given numbers is 2 x 344 x 4591 = 3158608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3158608
Therefore, the GCF of Fractions 5256/688,8584/9182 is 8/3158608
Least Common Multiple of 688,9182 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 688,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,9182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,9182) x common factors =2 x 1 = 2
LCM(688,9182) = ( 688 × 9182 ) / 2
LCM(688,9182) = 6317216 / 2
LCM(688,9182) = 3158608
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FAQs on GCF of Fractions of 5256/688, 8584/9182
1. What is the HCF of 5256,8584?
The HCF of 5256,8584 is 8
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 5256/688, 8584/9182?
Answer: GCF of Numerators as per given numbers 5256/688, 8584/9182 is
GCF of Numerators i.e. for 5256,8584 is 8
LCM of denominators i.e. for 688,9182 is 3158608.
Thus, GCF of Fractions is 8/3158608.Finally, GCF of Fractions for 5256/688, 8584/9182 is 8/3158608.