GCF of 2285/544, 7769/6304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2285/544, 7769/6304 i.e 457/107168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2285/544, 7769/6304.
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 2285/544,7769/6304?
Given fractions are 2285/544,7769/6304
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 2285/544,7769/6304, numerators are 2285,7769
Denominators are 544,6304
The GCF of 2285,7769 is 457 .
LCM of 544,6304 is 107168.
The greatest common factor of 2285/544,7769/6304 = [GCF of 2285,7769]/[LCM of 544,6304]= 457/107168
Therefore, the GCF of 2285/544,7769/6304 is 457/107168.
To find the highest common factor of 2285,7769, we have to find the factors of both numbers and list the highest common factor.
The factors of 2285 are 1, 5, 457, 2285
The factors of 7769 are 1, 17, 457, 7769
The HCF of 2285,7769 is 457.
Lets's calculate GCF of 2285,7769
| 457 | 2285, 7769 |
| 5, 17 |
∴ So the GCF of the given numbers is 457 = 457
Greatest Common Factor of 2285,7769 By Matching Biggest Common Factor Method
Now, list down the factors of 2285
:1,5,457,2285
Now, list down the factors of 7769
:1,17,457,7769
Greatest Common Factor
We found the factors 2285,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 2285,7769 is 457.
Lets's calculate LCM of 544,6304
| 2 | 544, 6304 |
| 2 | 272, 3152 |
| 2 | 136, 1576 |
| 2 | 68, 788 |
| 2 | 34, 394 |
| 17, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 17 x 197 = 107168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 457/107168
Therefore, the GCF of Fractions 2285/544,7769/6304 is 457/107168
Least Common Multiple of 544,6304 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 544,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,6304) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(544,6304) x common factors =32 x 1 = 32
LCM(544,6304) = ( 544 × 6304 ) / 32
LCM(544,6304) = 3429376 / 32
LCM(544,6304) = 107168
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FAQs on GCF of Fractions of 2285/544, 7769/6304
1. What is the HCF of 2285,7769?
The HCF of 2285,7769 is 457
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 2285/544, 7769/6304?
Answer: GCF of Numerators as per given numbers 2285/544, 7769/6304 is
GCF of Numerators i.e. for 2285,7769 is 457
LCM of denominators i.e. for 544,6304 is 107168.
Thus, GCF of Fractions is 457/107168.Finally, GCF of Fractions for 2285/544, 7769/6304 is 457/107168.