GCF of 4336/578, 9693/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4336/578, 9693/260 i.e 1/75140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4336/578, 9693/260.
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 4336/578,9693/260?
Given fractions are 4336/578,9693/260
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 4336/578,9693/260, numerators are 4336,9693
Denominators are 578,260
The GCF of 4336,9693 is 1 .
LCM of 578,260 is 75140.
The greatest common factor of 4336/578,9693/260 = [GCF of 4336,9693]/[LCM of 578,260]= 1/75140
Therefore, the GCF of 4336/578,9693/260 is 1/75140.
To find the highest common factor of 4336,9693, we have to find the factors of both numbers and list the highest common factor.
The factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336
The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693
The HCF of 4336,9693 is 1.
Lets's calculate GCF of 4336,9693
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4336,9693 By Matching Biggest Common Factor Method
Now, list down the factors of 4336
:1,2,4,8,16,271,542,1084,2168,4336
Now, list down the factors of 9693
:1,3,9,27,359,1077,3231,9693
Greatest Common Factor
We found the factors 4336,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 4336,9693 is 1.
Lets's calculate LCM of 578,260
| 2 | 578, 260 |
| 289, 130 |
∴ So the LCM of the given numbers is 2 x 289 x 130 = 75140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75140
Therefore, the GCF of Fractions 4336/578,9693/260 is 1/75140
Least Common Multiple of 578,260 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 578,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,260) x common factors =2 x 1 = 2
LCM(578,260) = ( 578 × 260 ) / 2
LCM(578,260) = 150280 / 2
LCM(578,260) = 75140
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FAQs on GCF of Fractions of 4336/578, 9693/260
1. What is the HCF of 4336,9693?
The HCF of 4336,9693 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 4336/578, 9693/260?
Answer: GCF of Numerators as per given numbers 4336/578, 9693/260 is
GCF of Numerators i.e. for 4336,9693 is 1
LCM of denominators i.e. for 578,260 is 75140.
Thus, GCF of Fractions is 1/75140.Finally, GCF of Fractions for 4336/578, 9693/260 is 1/75140.