GCF of 1003/822, 3498/8026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1003/822, 3498/8026 i.e 1/3298686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1003/822, 3498/8026.
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 1003/822,3498/8026?
Given fractions are 1003/822,3498/8026
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 1003/822,3498/8026, numerators are 1003,3498
Denominators are 822,8026
The GCF of 1003,3498 is 1 .
LCM of 822,8026 is 3298686.
The greatest common factor of 1003/822,3498/8026 = [GCF of 1003,3498]/[LCM of 822,8026]= 1/3298686
Therefore, the GCF of 1003/822,3498/8026 is 1/3298686.
To find the highest common factor of 1003,3498, we have to find the factors of both numbers and list the highest common factor.
The factors of 1003 are 1, 17, 59, 1003
The factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498
The HCF of 1003,3498 is 1.
Lets's calculate GCF of 1003,3498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1003,3498 By Matching Biggest Common Factor Method
Now, list down the factors of 1003
:1,17,59,1003
Now, list down the factors of 3498
:1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 1003,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 1003,3498 is 1.
Lets's calculate LCM of 822,8026
| 2 | 822, 8026 |
| 411, 4013 |
∴ So the LCM of the given numbers is 2 x 411 x 4013 = 3298686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3298686
Therefore, the GCF of Fractions 1003/822,3498/8026 is 1/3298686
Least Common Multiple of 822,8026 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 822,8026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,8026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,8026) x common factors =2 x 1 = 2
LCM(822,8026) = ( 822 × 8026 ) / 2
LCM(822,8026) = 6597372 / 2
LCM(822,8026) = 3298686
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FAQs on GCF of Fractions of 1003/822, 3498/8026
1. What is the HCF of 1003,3498?
The HCF of 1003,3498 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 1003/822, 3498/8026?
Answer: GCF of Numerators as per given numbers 1003/822, 3498/8026 is
GCF of Numerators i.e. for 1003,3498 is 1
LCM of denominators i.e. for 822,8026 is 3298686.
Thus, GCF of Fractions is 1/3298686.Finally, GCF of Fractions for 1003/822, 3498/8026 is 1/3298686.