GCF of 647/589, 779/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 647/589, 779/400 i.e 1/235600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/589, 779/400.
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 647/589,779/400?
Given fractions are 647/589,779/400
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 647/589,779/400, numerators are 647,779
Denominators are 589,400
The GCF of 647,779 is 1 .
LCM of 589,400 is 235600.
The greatest common factor of 647/589,779/400 = [GCF of 647,779]/[LCM of 589,400]= 1/235600
Therefore, the GCF of 647/589,779/400 is 1/235600.
To find the highest common factor of 647,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 647 are 1, 647
The factors of 779 are 1, 19, 41, 779
The HCF of 647,779 is 1.
Lets's calculate GCF of 647,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 647,779 By Matching Biggest Common Factor Method
Now, list down the factors of 647
:1,647
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 647,779 . The biggest common factor number is the GCF number.
So the greatest common factor 647,779 is 1.
Lets's calculate LCM of 589,400
Given numbers has no common factors except 1. So, there LCM is their product i.e 235600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235600
Therefore, the GCF of Fractions 647/589,779/400 is 1/235600
Least Common Multiple of 589,400 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 589,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,400) x common factors =1 x 1 = 1
LCM(589,400) = ( 589 × 400 ) / 1
LCM(589,400) = 235600 / 1
LCM(589,400) = 235600
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FAQs on GCF of Fractions of 647/589, 779/400
1. What is the HCF of 647,779?
The HCF of 647,779 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 647/589, 779/400?
Answer: GCF of Numerators as per given numbers 647/589, 779/400 is
GCF of Numerators i.e. for 647,779 is 1
LCM of denominators i.e. for 589,400 is 235600.
Thus, GCF of Fractions is 1/235600.Finally, GCF of Fractions for 647/589, 779/400 is 1/235600.