GCF of 3256/911, 8767/1598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3256/911, 8767/1598 i.e 11/1455778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3256/911, 8767/1598.
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 3256/911,8767/1598?
Given fractions are 3256/911,8767/1598
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 3256/911,8767/1598, numerators are 3256,8767
Denominators are 911,1598
The GCF of 3256,8767 is 11 .
LCM of 911,1598 is 1455778.
The greatest common factor of 3256/911,8767/1598 = [GCF of 3256,8767]/[LCM of 911,1598]= 11/1455778
Therefore, the GCF of 3256/911,8767/1598 is 11/1455778.
To find the highest common factor of 3256,8767, we have to find the factors of both numbers and list the highest common factor.
The factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256
The factors of 8767 are 1, 11, 797, 8767
The HCF of 3256,8767 is 11.
Lets's calculate GCF of 3256,8767
| 11 | 3256, 8767 |
| 296, 797 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3256,8767 By Matching Biggest Common Factor Method
Now, list down the factors of 3256
:1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Now, list down the factors of 8767
:1,11,797,8767
Greatest Common Factor
We found the factors 3256,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 3256,8767 is 11.
Lets's calculate LCM of 911,1598
Given numbers has no common factors except 1. So, there LCM is their product i.e 1455778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1455778
Therefore, the GCF of Fractions 3256/911,8767/1598 is 11/1455778
Least Common Multiple of 911,1598 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 911,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,1598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,1598) x common factors =1 x 1 = 1
LCM(911,1598) = ( 911 × 1598 ) / 1
LCM(911,1598) = 1455778 / 1
LCM(911,1598) = 1455778
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FAQs on GCF of Fractions of 3256/911, 8767/1598
1. What is the HCF of 3256,8767?
The HCF of 3256,8767 is 11
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 3256/911, 8767/1598?
Answer: GCF of Numerators as per given numbers 3256/911, 8767/1598 is
GCF of Numerators i.e. for 3256,8767 is 11
LCM of denominators i.e. for 911,1598 is 1455778.
Thus, GCF of Fractions is 11/1455778.Finally, GCF of Fractions for 3256/911, 8767/1598 is 11/1455778.