GCF of 8048/826, 3237/8966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8048/826, 3237/8966 i.e 1/3702958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8048/826, 3237/8966.
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 8048/826,3237/8966?
Given fractions are 8048/826,3237/8966
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 8048/826,3237/8966, numerators are 8048,3237
Denominators are 826,8966
The GCF of 8048,3237 is 1 .
LCM of 826,8966 is 3702958.
The greatest common factor of 8048/826,3237/8966 = [GCF of 8048,3237]/[LCM of 826,8966]= 1/3702958
Therefore, the GCF of 8048/826,3237/8966 is 1/3702958.
To find the highest common factor of 8048,3237, we have to find the factors of both numbers and list the highest common factor.
The factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048
The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237
The HCF of 8048,3237 is 1.
Lets's calculate GCF of 8048,3237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8048,3237 By Matching Biggest Common Factor Method
Now, list down the factors of 8048
:1,2,4,8,16,503,1006,2012,4024,8048
Now, list down the factors of 3237
:1,3,13,39,83,249,1079,3237
Greatest Common Factor
We found the factors 8048,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,3237 is 1.
Lets's calculate LCM of 826,8966
| 2 | 826, 8966 |
| 413, 4483 |
∴ So the LCM of the given numbers is 2 x 413 x 4483 = 3702958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3702958
Therefore, the GCF of Fractions 8048/826,3237/8966 is 1/3702958
Least Common Multiple of 826,8966 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 826,8966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,8966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,8966) x common factors =2 x 1 = 2
LCM(826,8966) = ( 826 × 8966 ) / 2
LCM(826,8966) = 7405916 / 2
LCM(826,8966) = 3702958
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FAQs on GCF of Fractions of 8048/826, 3237/8966
1. What is the HCF of 8048,3237?
The HCF of 8048,3237 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 8048/826, 3237/8966?
Answer: GCF of Numerators as per given numbers 8048/826, 3237/8966 is
GCF of Numerators i.e. for 8048,3237 is 1
LCM of denominators i.e. for 826,8966 is 3702958.
Thus, GCF of Fractions is 1/3702958.Finally, GCF of Fractions for 8048/826, 3237/8966 is 1/3702958.