GCF of 2196/682, 5571/7811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2196/682, 5571/7811 i.e 9/5327102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2196/682, 5571/7811.
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 2196/682,5571/7811?
Given fractions are 2196/682,5571/7811
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 2196/682,5571/7811, numerators are 2196,5571
Denominators are 682,7811
The GCF of 2196,5571 is 9 .
LCM of 682,7811 is 5327102.
The greatest common factor of 2196/682,5571/7811 = [GCF of 2196,5571]/[LCM of 682,7811]= 9/5327102
Therefore, the GCF of 2196/682,5571/7811 is 9/5327102.
To find the highest common factor of 2196,5571, we have to find the factors of both numbers and list the highest common factor.
The factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196
The factors of 5571 are 1, 3, 9, 619, 1857, 5571
The HCF of 2196,5571 is 9.
Lets's calculate GCF of 2196,5571
| 3 | 2196, 5571 |
| 3 | 732, 1857 |
| 244, 619 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2196,5571 By Matching Biggest Common Factor Method
Now, list down the factors of 2196
:1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Now, list down the factors of 5571
:1,3,9,619,1857,5571
Greatest Common Factor
We found the factors 2196,5571 . The biggest common factor number is the GCF number.
So the greatest common factor 2196,5571 is 9.
Lets's calculate LCM of 682,7811
Given numbers has no common factors except 1. So, there LCM is their product i.e 5327102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5327102
Therefore, the GCF of Fractions 2196/682,5571/7811 is 9/5327102
Least Common Multiple of 682,7811 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 682,7811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,7811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,7811) x common factors =1 x 1 = 1
LCM(682,7811) = ( 682 × 7811 ) / 1
LCM(682,7811) = 5327102 / 1
LCM(682,7811) = 5327102
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FAQs on GCF of Fractions of 2196/682, 5571/7811
1. What is the HCF of 2196,5571?
The HCF of 2196,5571 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 2196/682, 5571/7811?
Answer: GCF of Numerators as per given numbers 2196/682, 5571/7811 is
GCF of Numerators i.e. for 2196,5571 is 9
LCM of denominators i.e. for 682,7811 is 5327102.
Thus, GCF of Fractions is 9/5327102.Finally, GCF of Fractions for 2196/682, 5571/7811 is 9/5327102.