GCF of 2188/669, 2916/5555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2188/669, 2916/5555 i.e 4/3716295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2188/669, 2916/5555.
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 2188/669,2916/5555?
Given fractions are 2188/669,2916/5555
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 2188/669,2916/5555, numerators are 2188,2916
Denominators are 669,5555
The GCF of 2188,2916 is 4 .
LCM of 669,5555 is 3716295.
The greatest common factor of 2188/669,2916/5555 = [GCF of 2188,2916]/[LCM of 669,5555]= 4/3716295
Therefore, the GCF of 2188/669,2916/5555 is 4/3716295.
To find the highest common factor of 2188,2916, we have to find the factors of both numbers and list the highest common factor.
The factors of 2188 are 1, 2, 4, 547, 1094, 2188
The factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916
The HCF of 2188,2916 is 4.
Lets's calculate GCF of 2188,2916
| 2 | 2188, 2916 |
| 2 | 1094, 1458 |
| 547, 729 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2188,2916 By Matching Biggest Common Factor Method
Now, list down the factors of 2188
:1,2,4,547,1094,2188
Now, list down the factors of 2916
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916
Greatest Common Factor
We found the factors 2188,2916 . The biggest common factor number is the GCF number.
So the greatest common factor 2188,2916 is 4.
Lets's calculate LCM of 669,5555
Given numbers has no common factors except 1. So, there LCM is their product i.e 3716295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3716295
Therefore, the GCF of Fractions 2188/669,2916/5555 is 4/3716295
Least Common Multiple of 669,5555 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 669,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,5555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,5555) x common factors =1 x 1 = 1
LCM(669,5555) = ( 669 × 5555 ) / 1
LCM(669,5555) = 3716295 / 1
LCM(669,5555) = 3716295
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FAQs on GCF of Fractions of 2188/669, 2916/5555
1. What is the HCF of 2188,2916?
The HCF of 2188,2916 is 4
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 2188/669, 2916/5555?
Answer: GCF of Numerators as per given numbers 2188/669, 2916/5555 is
GCF of Numerators i.e. for 2188,2916 is 4
LCM of denominators i.e. for 669,5555 is 3716295.
Thus, GCF of Fractions is 4/3716295.Finally, GCF of Fractions for 2188/669, 2916/5555 is 4/3716295.