GCF of 5530/132, 1976/6809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5530/132, 1976/6809 i.e 2/81708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5530/132, 1976/6809.
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 5530/132,1976/6809?
Given fractions are 5530/132,1976/6809
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 5530/132,1976/6809, numerators are 5530,1976
Denominators are 132,6809
The GCF of 5530,1976 is 2 .
LCM of 132,6809 is 81708.
The greatest common factor of 5530/132,1976/6809 = [GCF of 5530,1976]/[LCM of 132,6809]= 2/81708
Therefore, the GCF of 5530/132,1976/6809 is 2/81708.
To find the highest common factor of 5530,1976, we have to find the factors of both numbers and list the highest common factor.
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The HCF of 5530,1976 is 2.
Lets's calculate GCF of 5530,1976
| 2 | 5530, 1976 |
| 2765, 988 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5530,1976 By Matching Biggest Common Factor Method
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Greatest Common Factor
We found the factors 5530,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 5530,1976 is 2.
Lets's calculate LCM of 132,6809
| 11 | 132, 6809 |
| 12, 619 |
∴ So the LCM of the given numbers is 11 x 12 x 619 = 81708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81708
Therefore, the GCF of Fractions 5530/132,1976/6809 is 2/81708
Least Common Multiple of 132,6809 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 132,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,6809) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(132,6809) x common factors =11 x 1 = 11
LCM(132,6809) = ( 132 × 6809 ) / 11
LCM(132,6809) = 898788 / 11
LCM(132,6809) = 81708
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FAQs on GCF of Fractions of 5530/132, 1976/6809
1. What is the HCF of 5530,1976?
The HCF of 5530,1976 is 2
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 5530/132, 1976/6809?
Answer: GCF of Numerators as per given numbers 5530/132, 1976/6809 is
GCF of Numerators i.e. for 5530,1976 is 2
LCM of denominators i.e. for 132,6809 is 81708.
Thus, GCF of Fractions is 2/81708.Finally, GCF of Fractions for 5530/132, 1976/6809 is 2/81708.