GCF of 593/91, 708/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 593/91, 708/644 i.e 1/8372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/91, 708/644.
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 593/91,708/644?
Given fractions are 593/91,708/644
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 593/91,708/644, numerators are 593,708
Denominators are 91,644
The GCF of 593,708 is 1 .
LCM of 91,644 is 8372.
The greatest common factor of 593/91,708/644 = [GCF of 593,708]/[LCM of 91,644]= 1/8372
Therefore, the GCF of 593/91,708/644 is 1/8372.
To find the highest common factor of 593,708, we have to find the factors of both numbers and list the highest common factor.
The factors of 593 are 1, 593
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The HCF of 593,708 is 1.
Lets's calculate GCF of 593,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 593,708 By Matching Biggest Common Factor Method
Now, list down the factors of 593
:1,593
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 593,708 . The biggest common factor number is the GCF number.
So the greatest common factor 593,708 is 1.
Lets's calculate LCM of 91,644
| 7 | 91, 644 |
| 13, 92 |
∴ So the LCM of the given numbers is 7 x 13 x 92 = 8372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8372
Therefore, the GCF of Fractions 593/91,708/644 is 1/8372
Least Common Multiple of 91,644 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 91,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(91,644) x common factors =7 x 1 = 7
LCM(91,644) = ( 91 × 644 ) / 7
LCM(91,644) = 58604 / 7
LCM(91,644) = 8372
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FAQs on GCF of Fractions of 593/91, 708/644
1. What is the HCF of 593,708?
The HCF of 593,708 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 593/91, 708/644?
Answer: GCF of Numerators as per given numbers 593/91, 708/644 is
GCF of Numerators i.e. for 593,708 is 1
LCM of denominators i.e. for 91,644 is 8372.
Thus, GCF of Fractions is 1/8372.Finally, GCF of Fractions for 593/91, 708/644 is 1/8372.