GCF of 655/586, 9867/9469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/586, 9867/9469 i.e 1/5548834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/586, 9867/9469.
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 655/586,9867/9469?
Given fractions are 655/586,9867/9469
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 655/586,9867/9469, numerators are 655,9867
Denominators are 586,9469
The GCF of 655,9867 is 1 .
LCM of 586,9469 is 5548834.
The greatest common factor of 655/586,9867/9469 = [GCF of 655,9867]/[LCM of 586,9469]= 1/5548834
Therefore, the GCF of 655/586,9867/9469 is 1/5548834.
To find the highest common factor of 655,9867, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
The HCF of 655,9867 is 1.
Lets's calculate GCF of 655,9867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 655,9867 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 9867
:1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 655,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 655,9867 is 1.
Lets's calculate LCM of 586,9469
Given numbers has no common factors except 1. So, there LCM is their product i.e 5548834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5548834
Therefore, the GCF of Fractions 655/586,9867/9469 is 1/5548834
Least Common Multiple of 586,9469 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 586,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,9469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,9469) x common factors =1 x 1 = 1
LCM(586,9469) = ( 586 × 9469 ) / 1
LCM(586,9469) = 5548834 / 1
LCM(586,9469) = 5548834
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FAQs on GCF of Fractions of 655/586, 9867/9469
1. What is the HCF of 655,9867?
The HCF of 655,9867 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 655/586, 9867/9469?
Answer: GCF of Numerators as per given numbers 655/586, 9867/9469 is
GCF of Numerators i.e. for 655,9867 is 1
LCM of denominators i.e. for 586,9469 is 5548834.
Thus, GCF of Fractions is 1/5548834.Finally, GCF of Fractions for 655/586, 9867/9469 is 1/5548834.