GCF of 3883/368, 7546/6544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3883/368, 7546/6544 i.e 11/150512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3883/368, 7546/6544.
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 3883/368,7546/6544?
Given fractions are 3883/368,7546/6544
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 3883/368,7546/6544, numerators are 3883,7546
Denominators are 368,6544
The GCF of 3883,7546 is 11 .
LCM of 368,6544 is 150512.
The greatest common factor of 3883/368,7546/6544 = [GCF of 3883,7546]/[LCM of 368,6544]= 11/150512
Therefore, the GCF of 3883/368,7546/6544 is 11/150512.
To find the highest common factor of 3883,7546, we have to find the factors of both numbers and list the highest common factor.
The factors of 3883 are 1, 11, 353, 3883
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The HCF of 3883,7546 is 11.
Lets's calculate GCF of 3883,7546
| 11 | 3883, 7546 |
| 353, 686 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3883,7546 By Matching Biggest Common Factor Method
Now, list down the factors of 3883
:1,11,353,3883
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Greatest Common Factor
We found the factors 3883,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 3883,7546 is 11.
Lets's calculate LCM of 368,6544
| 2 | 368, 6544 |
| 2 | 184, 3272 |
| 2 | 92, 1636 |
| 2 | 46, 818 |
| 23, 409 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 409 = 150512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/150512
Therefore, the GCF of Fractions 3883/368,7546/6544 is 11/150512
Least Common Multiple of 368,6544 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 368,6544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,6544) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(368,6544) x common factors =16 x 1 = 16
LCM(368,6544) = ( 368 × 6544 ) / 16
LCM(368,6544) = 2408192 / 16
LCM(368,6544) = 150512
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FAQs on GCF of Fractions of 3883/368, 7546/6544
1. What is the HCF of 3883,7546?
The HCF of 3883,7546 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 3883/368, 7546/6544?
Answer: GCF of Numerators as per given numbers 3883/368, 7546/6544 is
GCF of Numerators i.e. for 3883,7546 is 11
LCM of denominators i.e. for 368,6544 is 150512.
Thus, GCF of Fractions is 11/150512.Finally, GCF of Fractions for 3883/368, 7546/6544 is 11/150512.