GCF of 8026/817, 5302/847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8026/817, 5302/847 i.e 2/691999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8026/817, 5302/847.
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 8026/817,5302/847?
Given fractions are 8026/817,5302/847
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 8026/817,5302/847, numerators are 8026,5302
Denominators are 817,847
The GCF of 8026,5302 is 2 .
LCM of 817,847 is 691999.
The greatest common factor of 8026/817,5302/847 = [GCF of 8026,5302]/[LCM of 817,847]= 2/691999
Therefore, the GCF of 8026/817,5302/847 is 2/691999.
To find the highest common factor of 8026,5302, we have to find the factors of both numbers and list the highest common factor.
The factors of 8026 are 1, 2, 4013, 8026
The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302
The HCF of 8026,5302 is 2.
Lets's calculate GCF of 8026,5302
| 2 | 8026, 5302 |
| 4013, 2651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8026,5302 By Matching Biggest Common Factor Method
Now, list down the factors of 8026
:1,2,4013,8026
Now, list down the factors of 5302
:1,2,11,22,241,482,2651,5302
Greatest Common Factor
We found the factors 8026,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 8026,5302 is 2.
Lets's calculate LCM of 817,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 691999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/691999
Therefore, the GCF of Fractions 8026/817,5302/847 is 2/691999
Least Common Multiple of 817,847 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 817,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,847) x common factors =1 x 1 = 1
LCM(817,847) = ( 817 × 847 ) / 1
LCM(817,847) = 691999 / 1
LCM(817,847) = 691999
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FAQs on GCF of Fractions of 8026/817, 5302/847
1. What is the HCF of 8026,5302?
The HCF of 8026,5302 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 8026/817, 5302/847?
Answer: GCF of Numerators as per given numbers 8026/817, 5302/847 is
GCF of Numerators i.e. for 8026,5302 is 2
LCM of denominators i.e. for 817,847 is 691999.
Thus, GCF of Fractions is 2/691999.Finally, GCF of Fractions for 8026/817, 5302/847 is 2/691999.