GCF of 5610/527, 4522/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5610/527, 4522/825 i.e 34/434775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5610/527, 4522/825.
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 5610/527,4522/825?
Given fractions are 5610/527,4522/825
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 5610/527,4522/825, numerators are 5610,4522
Denominators are 527,825
The GCF of 5610,4522 is 34 .
LCM of 527,825 is 434775.
The greatest common factor of 5610/527,4522/825 = [GCF of 5610,4522]/[LCM of 527,825]= 34/434775
Therefore, the GCF of 5610/527,4522/825 is 34/434775.
To find the highest common factor of 5610,4522, we have to find the factors of both numbers and list the highest common factor.
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
The HCF of 5610,4522 is 34.
Lets's calculate GCF of 5610,4522
| 2 | 5610, 4522 |
| 17 | 2805, 2261 |
| 165, 133 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 5610,4522 By Matching Biggest Common Factor Method
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Now, list down the factors of 4522
:1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522
Greatest Common Factor
We found the factors 5610,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 5610,4522 is 34.
Lets's calculate LCM of 527,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 434775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/434775
Therefore, the GCF of Fractions 5610/527,4522/825 is 34/434775
Least Common Multiple of 527,825 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 527,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,825) x common factors =1 x 1 = 1
LCM(527,825) = ( 527 × 825 ) / 1
LCM(527,825) = 434775 / 1
LCM(527,825) = 434775
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FAQs on GCF of Fractions of 5610/527, 4522/825
1. What is the HCF of 5610,4522?
The HCF of 5610,4522 is 34
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 5610/527, 4522/825?
Answer: GCF of Numerators as per given numbers 5610/527, 4522/825 is
GCF of Numerators i.e. for 5610,4522 is 34
LCM of denominators i.e. for 527,825 is 434775.
Thus, GCF of Fractions is 34/434775.Finally, GCF of Fractions for 5610/527, 4522/825 is 34/434775.