GCF of 2544/564, 4592/7474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2544/564, 4592/7474 i.e 16/2107668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2544/564, 4592/7474.
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 2544/564,4592/7474?
Given fractions are 2544/564,4592/7474
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 2544/564,4592/7474, numerators are 2544,4592
Denominators are 564,7474
The GCF of 2544,4592 is 16 .
LCM of 564,7474 is 2107668.
The greatest common factor of 2544/564,4592/7474 = [GCF of 2544,4592]/[LCM of 564,7474]= 16/2107668
Therefore, the GCF of 2544/564,4592/7474 is 16/2107668.
To find the highest common factor of 2544,4592, we have to find the factors of both numbers and list the highest common factor.
The factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The HCF of 2544,4592 is 16.
Lets's calculate GCF of 2544,4592
| 2 | 2544, 4592 |
| 2 | 1272, 2296 |
| 2 | 636, 1148 |
| 2 | 318, 574 |
| 159, 287 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2544,4592 By Matching Biggest Common Factor Method
Now, list down the factors of 2544
:1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Greatest Common Factor
We found the factors 2544,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,4592 is 16.
Lets's calculate LCM of 564,7474
| 2 | 564, 7474 |
| 282, 3737 |
∴ So the LCM of the given numbers is 2 x 282 x 3737 = 2107668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2107668
Therefore, the GCF of Fractions 2544/564,4592/7474 is 16/2107668
Least Common Multiple of 564,7474 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 564,7474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,7474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,7474) x common factors =2 x 1 = 2
LCM(564,7474) = ( 564 × 7474 ) / 2
LCM(564,7474) = 4215336 / 2
LCM(564,7474) = 2107668
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FAQs on GCF of Fractions of 2544/564, 4592/7474
1. What is the HCF of 2544,4592?
The HCF of 2544,4592 is 16
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 2544/564, 4592/7474?
Answer: GCF of Numerators as per given numbers 2544/564, 4592/7474 is
GCF of Numerators i.e. for 2544,4592 is 16
LCM of denominators i.e. for 564,7474 is 2107668.
Thus, GCF of Fractions is 16/2107668.Finally, GCF of Fractions for 2544/564, 4592/7474 is 16/2107668.