GCF of 8026/434, 6992/1583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8026/434, 6992/1583 i.e 2/687022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8026/434, 6992/1583.
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 8026/434,6992/1583?
Given fractions are 8026/434,6992/1583
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 8026/434,6992/1583, numerators are 8026,6992
Denominators are 434,1583
The GCF of 8026,6992 is 2 .
LCM of 434,1583 is 687022.
The greatest common factor of 8026/434,6992/1583 = [GCF of 8026,6992]/[LCM of 434,1583]= 2/687022
Therefore, the GCF of 8026/434,6992/1583 is 2/687022.
To find the highest common factor of 8026,6992, 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 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The HCF of 8026,6992 is 2.
Lets's calculate GCF of 8026,6992
| 2 | 8026, 6992 |
| 4013, 3496 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8026,6992 By Matching Biggest Common Factor Method
Now, list down the factors of 8026
:1,2,4013,8026
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Greatest Common Factor
We found the factors 8026,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 8026,6992 is 2.
Lets's calculate LCM of 434,1583
Given numbers has no common factors except 1. So, there LCM is their product i.e 687022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/687022
Therefore, the GCF of Fractions 8026/434,6992/1583 is 2/687022
Least Common Multiple of 434,1583 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 434,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,1583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,1583) x common factors =1 x 1 = 1
LCM(434,1583) = ( 434 × 1583 ) / 1
LCM(434,1583) = 687022 / 1
LCM(434,1583) = 687022
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FAQs on GCF of Fractions of 8026/434, 6992/1583
1. What is the HCF of 8026,6992?
The HCF of 8026,6992 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 8026/434, 6992/1583?
Answer: GCF of Numerators as per given numbers 8026/434, 6992/1583 is
GCF of Numerators i.e. for 8026,6992 is 2
LCM of denominators i.e. for 434,1583 is 687022.
Thus, GCF of Fractions is 2/687022.Finally, GCF of Fractions for 8026/434, 6992/1583 is 2/687022.