GCF of 2002/756, 8249/4158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2002/756, 8249/4158 i.e 1/8316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2002/756, 8249/4158.
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 2002/756,8249/4158?
Given fractions are 2002/756,8249/4158
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 2002/756,8249/4158, numerators are 2002,8249
Denominators are 756,4158
The GCF of 2002,8249 is 1 .
LCM of 756,4158 is 8316.
The greatest common factor of 2002/756,8249/4158 = [GCF of 2002,8249]/[LCM of 756,4158]= 1/8316
Therefore, the GCF of 2002/756,8249/4158 is 1/8316.
To find the highest common factor of 2002,8249, we have to find the factors of both numbers and list the highest common factor.
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The factors of 8249 are 1, 73, 113, 8249
The HCF of 2002,8249 is 1.
Lets's calculate GCF of 2002,8249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2002,8249 By Matching Biggest Common Factor Method
Now, list down the factors of 2002
:1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Now, list down the factors of 8249
:1,73,113,8249
Greatest Common Factor
We found the factors 2002,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 2002,8249 is 1.
Lets's calculate LCM of 756,4158
| 2 | 756, 4158 |
| 3 | 378, 2079 |
| 3 | 126, 693 |
| 3 | 42, 231 |
| 7 | 14, 77 |
| 2, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 2 x 11 = 8316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8316
Therefore, the GCF of Fractions 2002/756,8249/4158 is 1/8316
Least Common Multiple of 756,4158 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 756,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,4158) = 378
common factors(in case of two or more numbers have common factors) = 1
GCF(756,4158) x common factors =378 x 1 = 378
LCM(756,4158) = ( 756 × 4158 ) / 378
LCM(756,4158) = 3143448 / 378
LCM(756,4158) = 8316
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FAQs on GCF of Fractions of 2002/756, 8249/4158
1. What is the HCF of 2002,8249?
The HCF of 2002,8249 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 2002/756, 8249/4158?
Answer: GCF of Numerators as per given numbers 2002/756, 8249/4158 is
GCF of Numerators i.e. for 2002,8249 is 1
LCM of denominators i.e. for 756,4158 is 8316.
Thus, GCF of Fractions is 1/8316.Finally, GCF of Fractions for 2002/756, 8249/4158 is 1/8316.