GCF of 5571/380, 8412/2191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5571/380, 8412/2191 i.e 3/832580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5571/380, 8412/2191.
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 5571/380,8412/2191?
Given fractions are 5571/380,8412/2191
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 5571/380,8412/2191, numerators are 5571,8412
Denominators are 380,2191
The GCF of 5571,8412 is 3 .
LCM of 380,2191 is 832580.
The greatest common factor of 5571/380,8412/2191 = [GCF of 5571,8412]/[LCM of 380,2191]= 3/832580
Therefore, the GCF of 5571/380,8412/2191 is 3/832580.
To find the highest common factor of 5571,8412, we have to find the factors of both numbers and list the highest common factor.
The factors of 5571 are 1, 3, 9, 619, 1857, 5571
The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 5571,8412 is 3.
Lets's calculate GCF of 5571,8412
| 3 | 5571, 8412 |
| 1857, 2804 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5571,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 5571
:1,3,9,619,1857,5571
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 5571,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 5571,8412 is 3.
Lets's calculate LCM of 380,2191
Given numbers has no common factors except 1. So, there LCM is their product i.e 832580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/832580
Therefore, the GCF of Fractions 5571/380,8412/2191 is 3/832580
Least Common Multiple of 380,2191 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 380,2191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,2191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,2191) x common factors =1 x 1 = 1
LCM(380,2191) = ( 380 × 2191 ) / 1
LCM(380,2191) = 832580 / 1
LCM(380,2191) = 832580
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FAQs on GCF of Fractions of 5571/380, 8412/2191
1. What is the HCF of 5571,8412?
The HCF of 5571,8412 is 3
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 5571/380, 8412/2191?
Answer: GCF of Numerators as per given numbers 5571/380, 8412/2191 is
GCF of Numerators i.e. for 5571,8412 is 3
LCM of denominators i.e. for 380,2191 is 832580.
Thus, GCF of Fractions is 3/832580.Finally, GCF of Fractions for 5571/380, 8412/2191 is 3/832580.