GCF of 3361/586, 9512/3998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3361/586, 9512/3998 i.e 1/1171414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3361/586, 9512/3998.
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 3361/586,9512/3998?
Given fractions are 3361/586,9512/3998
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 3361/586,9512/3998, numerators are 3361,9512
Denominators are 586,3998
The GCF of 3361,9512 is 1 .
LCM of 586,3998 is 1171414.
The greatest common factor of 3361/586,9512/3998 = [GCF of 3361,9512]/[LCM of 586,3998]= 1/1171414
Therefore, the GCF of 3361/586,9512/3998 is 1/1171414.
To find the highest common factor of 3361,9512, we have to find the factors of both numbers and list the highest common factor.
The factors of 3361 are 1, 3361
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The HCF of 3361,9512 is 1.
Lets's calculate GCF of 3361,9512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3361,9512 By Matching Biggest Common Factor Method
Now, list down the factors of 3361
:1,3361
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Greatest Common Factor
We found the factors 3361,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 3361,9512 is 1.
Lets's calculate LCM of 586,3998
| 2 | 586, 3998 |
| 293, 1999 |
∴ So the LCM of the given numbers is 2 x 293 x 1999 = 1171414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171414
Therefore, the GCF of Fractions 3361/586,9512/3998 is 1/1171414
Least Common Multiple of 586,3998 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 586,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,3998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,3998) x common factors =2 x 1 = 2
LCM(586,3998) = ( 586 × 3998 ) / 2
LCM(586,3998) = 2342828 / 2
LCM(586,3998) = 1171414
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FAQs on GCF of Fractions of 3361/586, 9512/3998
1. What is the HCF of 3361,9512?
The HCF of 3361,9512 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 3361/586, 9512/3998?
Answer: GCF of Numerators as per given numbers 3361/586, 9512/3998 is
GCF of Numerators i.e. for 3361,9512 is 1
LCM of denominators i.e. for 586,3998 is 1171414.
Thus, GCF of Fractions is 1/1171414.Finally, GCF of Fractions for 3361/586, 9512/3998 is 1/1171414.