GCF of 6631/803, 2862/2336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6631/803, 2862/2336 i.e 1/25696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6631/803, 2862/2336.
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 6631/803,2862/2336?
Given fractions are 6631/803,2862/2336
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 6631/803,2862/2336, numerators are 6631,2862
Denominators are 803,2336
The GCF of 6631,2862 is 1 .
LCM of 803,2336 is 25696.
The greatest common factor of 6631/803,2862/2336 = [GCF of 6631,2862]/[LCM of 803,2336]= 1/25696
Therefore, the GCF of 6631/803,2862/2336 is 1/25696.
To find the highest common factor of 6631,2862, we have to find the factors of both numbers and list the highest common factor.
The factors of 6631 are 1, 19, 349, 6631
The factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862
The HCF of 6631,2862 is 1.
Lets's calculate GCF of 6631,2862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6631,2862 By Matching Biggest Common Factor Method
Now, list down the factors of 6631
:1,19,349,6631
Now, list down the factors of 2862
:1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862
Greatest Common Factor
We found the factors 6631,2862 . The biggest common factor number is the GCF number.
So the greatest common factor 6631,2862 is 1.
Lets's calculate LCM of 803,2336
| 73 | 803, 2336 |
| 11, 32 |
∴ So the LCM of the given numbers is 73 x 11 x 32 = 25696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25696
Therefore, the GCF of Fractions 6631/803,2862/2336 is 1/25696
Least Common Multiple of 803,2336 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 803,2336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,2336) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(803,2336) x common factors =73 x 1 = 73
LCM(803,2336) = ( 803 × 2336 ) / 73
LCM(803,2336) = 1875808 / 73
LCM(803,2336) = 25696
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FAQs on GCF of Fractions of 6631/803, 2862/2336
1. What is the HCF of 6631,2862?
The HCF of 6631,2862 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 6631/803, 2862/2336?
Answer: GCF of Numerators as per given numbers 6631/803, 2862/2336 is
GCF of Numerators i.e. for 6631,2862 is 1
LCM of denominators i.e. for 803,2336 is 25696.
Thus, GCF of Fractions is 1/25696.Finally, GCF of Fractions for 6631/803, 2862/2336 is 1/25696.