GCF of 647/972, 8412/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 647/972, 8412/729 i.e 1/2916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/972, 8412/729.
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 647/972,8412/729?
Given fractions are 647/972,8412/729
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 647/972,8412/729, numerators are 647,8412
Denominators are 972,729
The GCF of 647,8412 is 1 .
LCM of 972,729 is 2916.
The greatest common factor of 647/972,8412/729 = [GCF of 647,8412]/[LCM of 972,729]= 1/2916
Therefore, the GCF of 647/972,8412/729 is 1/2916.
To find the highest common factor of 647,8412, 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 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 647,8412 is 1.
Lets's calculate GCF of 647,8412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 647,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 647
:1,647
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 647,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 647,8412 is 1.
Lets's calculate LCM of 972,729
| 3 | 972, 729 |
| 3 | 324, 243 |
| 3 | 108, 81 |
| 3 | 36, 27 |
| 3 | 12, 9 |
| 4, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 3 x 4 x 3 = 2916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2916
Therefore, the GCF of Fractions 647/972,8412/729 is 1/2916
Least Common Multiple of 972,729 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 972,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,729) = 243
common factors(in case of two or more numbers have common factors) = 1
GCF(972,729) x common factors =243 x 1 = 243
LCM(972,729) = ( 972 × 729 ) / 243
LCM(972,729) = 708588 / 243
LCM(972,729) = 2916
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FAQs on GCF of Fractions of 647/972, 8412/729
1. What is the HCF of 647,8412?
The HCF of 647,8412 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 647/972, 8412/729?
Answer: GCF of Numerators as per given numbers 647/972, 8412/729 is
GCF of Numerators i.e. for 647,8412 is 1
LCM of denominators i.e. for 972,729 is 2916.
Thus, GCF of Fractions is 1/2916.Finally, GCF of Fractions for 647/972, 8412/729 is 1/2916.