GCF of 2189/435, 6461/6684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2189/435, 6461/6684 i.e 1/969180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2189/435, 6461/6684.
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 2189/435,6461/6684?
Given fractions are 2189/435,6461/6684
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 2189/435,6461/6684, numerators are 2189,6461
Denominators are 435,6684
The GCF of 2189,6461 is 1 .
LCM of 435,6684 is 969180.
The greatest common factor of 2189/435,6461/6684 = [GCF of 2189,6461]/[LCM of 435,6684]= 1/969180
Therefore, the GCF of 2189/435,6461/6684 is 1/969180.
To find the highest common factor of 2189,6461, 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 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The HCF of 2189,6461 is 1.
Lets's calculate GCF of 2189,6461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2189,6461 By Matching Biggest Common Factor Method
Now, list down the factors of 2189
:1,11,199,2189
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
Greatest Common Factor
We found the factors 2189,6461 . The biggest common factor number is the GCF number.
So the greatest common factor 2189,6461 is 1.
Lets's calculate LCM of 435,6684
| 3 | 435, 6684 |
| 145, 2228 |
∴ So the LCM of the given numbers is 3 x 145 x 2228 = 969180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/969180
Therefore, the GCF of Fractions 2189/435,6461/6684 is 1/969180
Least Common Multiple of 435,6684 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 435,6684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,6684) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,6684) x common factors =3 x 1 = 3
LCM(435,6684) = ( 435 × 6684 ) / 3
LCM(435,6684) = 2907540 / 3
LCM(435,6684) = 969180
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FAQs on GCF of Fractions of 2189/435, 6461/6684
1. What is the HCF of 2189,6461?
The HCF of 2189,6461 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 2189/435, 6461/6684?
Answer: GCF of Numerators as per given numbers 2189/435, 6461/6684 is
GCF of Numerators i.e. for 2189,6461 is 1
LCM of denominators i.e. for 435,6684 is 969180.
Thus, GCF of Fractions is 1/969180.Finally, GCF of Fractions for 2189/435, 6461/6684 is 1/969180.