GCF of 962/798, 583/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/798, 583/729 i.e 1/193914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/798, 583/729.
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 962/798,583/729?
Given fractions are 962/798,583/729
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 962/798,583/729, numerators are 962,583
Denominators are 798,729
The GCF of 962,583 is 1 .
LCM of 798,729 is 193914.
The greatest common factor of 962/798,583/729 = [GCF of 962,583]/[LCM of 798,729]= 1/193914
Therefore, the GCF of 962/798,583/729 is 1/193914.
To find the highest common factor of 962,583, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 583 are 1, 11, 53, 583
The HCF of 962,583 is 1.
Lets's calculate GCF of 962,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 962,583 By Matching Biggest Common Factor Method
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 583
:1,11,53,583
Greatest Common Factor
We found the factors 962,583 . The biggest common factor number is the GCF number.
So the greatest common factor 962,583 is 1.
Lets's calculate LCM of 798,729
| 3 | 798, 729 |
| 266, 243 |
∴ So the LCM of the given numbers is 3 x 266 x 243 = 193914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193914
Therefore, the GCF of Fractions 962/798,583/729 is 1/193914
Least Common Multiple of 798,729 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 798,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(798,729) x common factors =3 x 1 = 3
LCM(798,729) = ( 798 × 729 ) / 3
LCM(798,729) = 581742 / 3
LCM(798,729) = 193914
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FAQs on GCF of Fractions of 962/798, 583/729
1. What is the HCF of 962,583?
The HCF of 962,583 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 962/798, 583/729?
Answer: GCF of Numerators as per given numbers 962/798, 583/729 is
GCF of Numerators i.e. for 962,583 is 1
LCM of denominators i.e. for 798,729 is 193914.
Thus, GCF of Fractions is 1/193914.Finally, GCF of Fractions for 962/798, 583/729 is 1/193914.