GCF of 2189/212, 5669/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2189/212, 5669/126 i.e 1/13356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2189/212, 5669/126.
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 2189/212,5669/126?
Given fractions are 2189/212,5669/126
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 2189/212,5669/126, numerators are 2189,5669
Denominators are 212,126
The GCF of 2189,5669 is 1 .
LCM of 212,126 is 13356.
The greatest common factor of 2189/212,5669/126 = [GCF of 2189,5669]/[LCM of 212,126]= 1/13356
Therefore, the GCF of 2189/212,5669/126 is 1/13356.
To find the highest common factor of 2189,5669, we have to find the factors of both numbers and list the highest common factor.
The factors of 2189 are 1, 11, 199, 2189
The factors of 5669 are 1, 5669
The HCF of 2189,5669 is 1.
Lets's calculate GCF of 2189,5669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2189,5669 By Matching Biggest Common Factor Method
Now, list down the factors of 2189
:1,11,199,2189
Now, list down the factors of 5669
:1,5669
Greatest Common Factor
We found the factors 2189,5669 . The biggest common factor number is the GCF number.
So the greatest common factor 2189,5669 is 1.
Lets's calculate LCM of 212,126
| 2 | 212, 126 |
| 106, 63 |
∴ So the LCM of the given numbers is 2 x 106 x 63 = 13356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13356
Therefore, the GCF of Fractions 2189/212,5669/126 is 1/13356
Least Common Multiple of 212,126 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 212,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,126) x common factors =2 x 1 = 2
LCM(212,126) = ( 212 × 126 ) / 2
LCM(212,126) = 26712 / 2
LCM(212,126) = 13356
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2189/212, 5669/126
1. What is the HCF of 2189,5669?
The HCF of 2189,5669 is 1
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 2189/212, 5669/126?
Answer: GCF of Numerators as per given numbers 2189/212, 5669/126 is
GCF of Numerators i.e. for 2189,5669 is 1
LCM of denominators i.e. for 212,126 is 13356.
Thus, GCF of Fractions is 1/13356.Finally, GCF of Fractions for 2189/212, 5669/126 is 1/13356.