GCF of 364/648, 259/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 364/648, 259/722 i.e 7/233928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/648, 259/722.
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 364/648,259/722?
Given fractions are 364/648,259/722
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 364/648,259/722, numerators are 364,259
Denominators are 648,722
The GCF of 364,259 is 7 .
LCM of 648,722 is 233928.
The greatest common factor of 364/648,259/722 = [GCF of 364,259]/[LCM of 648,722]= 7/233928
Therefore, the GCF of 364/648,259/722 is 7/233928.
To find the highest common factor of 364,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 259 are 1, 7, 37, 259
The HCF of 364,259 is 7.
Lets's calculate GCF of 364,259
| 7 | 364, 259 |
| 52, 37 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 364,259 By Matching Biggest Common Factor Method
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 364,259 . The biggest common factor number is the GCF number.
So the greatest common factor 364,259 is 7.
Lets's calculate LCM of 648,722
| 2 | 648, 722 |
| 324, 361 |
∴ So the LCM of the given numbers is 2 x 324 x 361 = 233928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/233928
Therefore, the GCF of Fractions 364/648,259/722 is 7/233928
Least Common Multiple of 648,722 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 648,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,722) x common factors =2 x 1 = 2
LCM(648,722) = ( 648 × 722 ) / 2
LCM(648,722) = 467856 / 2
LCM(648,722) = 233928
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FAQs on GCF of Fractions of 364/648, 259/722
1. What is the HCF of 364,259?
The HCF of 364,259 is 7
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 364/648, 259/722?
Answer: GCF of Numerators as per given numbers 364/648, 259/722 is
GCF of Numerators i.e. for 364,259 is 7
LCM of denominators i.e. for 648,722 is 233928.
Thus, GCF of Fractions is 7/233928.Finally, GCF of Fractions for 364/648, 259/722 is 7/233928.