GCF of 3377/728, 3784/5967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3377/728, 3784/5967 i.e 11/334152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3377/728, 3784/5967.
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 3377/728,3784/5967?
Given fractions are 3377/728,3784/5967
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 3377/728,3784/5967, numerators are 3377,3784
Denominators are 728,5967
The GCF of 3377,3784 is 11 .
LCM of 728,5967 is 334152.
The greatest common factor of 3377/728,3784/5967 = [GCF of 3377,3784]/[LCM of 728,5967]= 11/334152
Therefore, the GCF of 3377/728,3784/5967 is 11/334152.
To find the highest common factor of 3377,3784, we have to find the factors of both numbers and list the highest common factor.
The factors of 3377 are 1, 11, 307, 3377
The factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784
The HCF of 3377,3784 is 11.
Lets's calculate GCF of 3377,3784
| 11 | 3377, 3784 |
| 307, 344 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3377,3784 By Matching Biggest Common Factor Method
Now, list down the factors of 3377
:1,11,307,3377
Now, list down the factors of 3784
:1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784
Greatest Common Factor
We found the factors 3377,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 3377,3784 is 11.
Lets's calculate LCM of 728,5967
| 13 | 728, 5967 |
| 56, 459 |
∴ So the LCM of the given numbers is 13 x 56 x 459 = 334152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/334152
Therefore, the GCF of Fractions 3377/728,3784/5967 is 11/334152
Least Common Multiple of 728,5967 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 728,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,5967) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(728,5967) x common factors =13 x 1 = 13
LCM(728,5967) = ( 728 × 5967 ) / 13
LCM(728,5967) = 4343976 / 13
LCM(728,5967) = 334152
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FAQs on GCF of Fractions of 3377/728, 3784/5967
1. What is the HCF of 3377,3784?
The HCF of 3377,3784 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 3377/728, 3784/5967?
Answer: GCF of Numerators as per given numbers 3377/728, 3784/5967 is
GCF of Numerators i.e. for 3377,3784 is 11
LCM of denominators i.e. for 728,5967 is 334152.
Thus, GCF of Fractions is 11/334152.Finally, GCF of Fractions for 3377/728, 3784/5967 is 11/334152.