GCF of 647/686, 6405/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 647/686, 6405/390 i.e 1/133770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/686, 6405/390.
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 647/686,6405/390?
Given fractions are 647/686,6405/390
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 647/686,6405/390, numerators are 647,6405
Denominators are 686,390
The GCF of 647,6405 is 1 .
LCM of 686,390 is 133770.
The greatest common factor of 647/686,6405/390 = [GCF of 647,6405]/[LCM of 686,390]= 1/133770
Therefore, the GCF of 647/686,6405/390 is 1/133770.
To find the highest common factor of 647,6405, 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 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The HCF of 647,6405 is 1.
Lets's calculate GCF of 647,6405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 647,6405 By Matching Biggest Common Factor Method
Now, list down the factors of 647
:1,647
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 647,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 647,6405 is 1.
Lets's calculate LCM of 686,390
| 2 | 686, 390 |
| 343, 195 |
∴ So the LCM of the given numbers is 2 x 343 x 195 = 133770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133770
Therefore, the GCF of Fractions 647/686,6405/390 is 1/133770
Least Common Multiple of 686,390 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 686,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,390) x common factors =2 x 1 = 2
LCM(686,390) = ( 686 × 390 ) / 2
LCM(686,390) = 267540 / 2
LCM(686,390) = 133770
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FAQs on GCF of Fractions of 647/686, 6405/390
1. What is the HCF of 647,6405?
The HCF of 647,6405 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 647/686, 6405/390?
Answer: GCF of Numerators as per given numbers 647/686, 6405/390 is
GCF of Numerators i.e. for 647,6405 is 1
LCM of denominators i.e. for 686,390 is 133770.
Thus, GCF of Fractions is 1/133770.Finally, GCF of Fractions for 647/686, 6405/390 is 1/133770.