GCF of 8136/696, 6551/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8136/696, 6551/998 i.e 1/347304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8136/696, 6551/998.
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 8136/696,6551/998?
Given fractions are 8136/696,6551/998
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 8136/696,6551/998, numerators are 8136,6551
Denominators are 696,998
The GCF of 8136,6551 is 1 .
LCM of 696,998 is 347304.
The greatest common factor of 8136/696,6551/998 = [GCF of 8136,6551]/[LCM of 696,998]= 1/347304
Therefore, the GCF of 8136/696,6551/998 is 1/347304.
To find the highest common factor of 8136,6551, we have to find the factors of both numbers and list the highest common factor.
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The factors of 6551 are 1, 6551
The HCF of 8136,6551 is 1.
Lets's calculate GCF of 8136,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8136,6551 By Matching Biggest Common Factor Method
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Now, list down the factors of 6551
:1,6551
Greatest Common Factor
We found the factors 8136,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 8136,6551 is 1.
Lets's calculate LCM of 696,998
| 2 | 696, 998 |
| 348, 499 |
∴ So the LCM of the given numbers is 2 x 348 x 499 = 347304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347304
Therefore, the GCF of Fractions 8136/696,6551/998 is 1/347304
Least Common Multiple of 696,998 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 696,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(696,998) x common factors =2 x 1 = 2
LCM(696,998) = ( 696 × 998 ) / 2
LCM(696,998) = 694608 / 2
LCM(696,998) = 347304
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FAQs on GCF of Fractions of 8136/696, 6551/998
1. What is the HCF of 8136,6551?
The HCF of 8136,6551 is 1
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 8136/696, 6551/998?
Answer: GCF of Numerators as per given numbers 8136/696, 6551/998 is
GCF of Numerators i.e. for 8136,6551 is 1
LCM of denominators i.e. for 696,998 is 347304.
Thus, GCF of Fractions is 1/347304.Finally, GCF of Fractions for 8136/696, 6551/998 is 1/347304.