GCF of 5576/671, 1071/6712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5576/671, 1071/6712 i.e 17/4503752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5576/671, 1071/6712.
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 5576/671,1071/6712?
Given fractions are 5576/671,1071/6712
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 5576/671,1071/6712, numerators are 5576,1071
Denominators are 671,6712
The GCF of 5576,1071 is 17 .
LCM of 671,6712 is 4503752.
The greatest common factor of 5576/671,1071/6712 = [GCF of 5576,1071]/[LCM of 671,6712]= 17/4503752
Therefore, the GCF of 5576/671,1071/6712 is 17/4503752.
To find the highest common factor of 5576,1071, we have to find the factors of both numbers and list the highest common factor.
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The HCF of 5576,1071 is 17.
Lets's calculate GCF of 5576,1071
| 17 | 5576, 1071 |
| 328, 63 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5576,1071 By Matching Biggest Common Factor Method
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Now, list down the factors of 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Greatest Common Factor
We found the factors 5576,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 5576,1071 is 17.
Lets's calculate LCM of 671,6712
Given numbers has no common factors except 1. So, there LCM is their product i.e 4503752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4503752
Therefore, the GCF of Fractions 5576/671,1071/6712 is 17/4503752
Least Common Multiple of 671,6712 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 671,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,6712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,6712) x common factors =1 x 1 = 1
LCM(671,6712) = ( 671 × 6712 ) / 1
LCM(671,6712) = 4503752 / 1
LCM(671,6712) = 4503752
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FAQs on GCF of Fractions of 5576/671, 1071/6712
1. What is the HCF of 5576,1071?
The HCF of 5576,1071 is 17
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 5576/671, 1071/6712?
Answer: GCF of Numerators as per given numbers 5576/671, 1071/6712 is
GCF of Numerators i.e. for 5576,1071 is 17
LCM of denominators i.e. for 671,6712 is 4503752.
Thus, GCF of Fractions is 17/4503752.Finally, GCF of Fractions for 5576/671, 1071/6712 is 17/4503752.