GCF of 4869/130, 5571/8229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4869/130, 5571/8229 i.e 9/82290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4869/130, 5571/8229.
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 4869/130,5571/8229?
Given fractions are 4869/130,5571/8229
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 4869/130,5571/8229, numerators are 4869,5571
Denominators are 130,8229
The GCF of 4869,5571 is 9 .
LCM of 130,8229 is 82290.
The greatest common factor of 4869/130,5571/8229 = [GCF of 4869,5571]/[LCM of 130,8229]= 9/82290
Therefore, the GCF of 4869/130,5571/8229 is 9/82290.
To find the highest common factor of 4869,5571, we have to find the factors of both numbers and list the highest common factor.
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The factors of 5571 are 1, 3, 9, 619, 1857, 5571
The HCF of 4869,5571 is 9.
Lets's calculate GCF of 4869,5571
| 3 | 4869, 5571 |
| 3 | 1623, 1857 |
| 541, 619 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4869,5571 By Matching Biggest Common Factor Method
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Now, list down the factors of 5571
:1,3,9,619,1857,5571
Greatest Common Factor
We found the factors 4869,5571 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,5571 is 9.
Lets's calculate LCM of 130,8229
| 13 | 130, 8229 |
| 10, 633 |
∴ So the LCM of the given numbers is 13 x 10 x 633 = 82290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/82290
Therefore, the GCF of Fractions 4869/130,5571/8229 is 9/82290
Least Common Multiple of 130,8229 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 130,8229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,8229) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(130,8229) x common factors =13 x 1 = 13
LCM(130,8229) = ( 130 × 8229 ) / 13
LCM(130,8229) = 1069770 / 13
LCM(130,8229) = 82290
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FAQs on GCF of Fractions of 4869/130, 5571/8229
1. What is the HCF of 4869,5571?
The HCF of 4869,5571 is 9
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 4869/130, 5571/8229?
Answer: GCF of Numerators as per given numbers 4869/130, 5571/8229 is
GCF of Numerators i.e. for 4869,5571 is 9
LCM of denominators i.e. for 130,8229 is 82290.
Thus, GCF of Fractions is 9/82290.Finally, GCF of Fractions for 4869/130, 5571/8229 is 9/82290.