GCF of 2529/564, 3025/2935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2529/564, 3025/2935 i.e 1/1655340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2529/564, 3025/2935.
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 2529/564,3025/2935?
Given fractions are 2529/564,3025/2935
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 2529/564,3025/2935, numerators are 2529,3025
Denominators are 564,2935
The GCF of 2529,3025 is 1 .
LCM of 564,2935 is 1655340.
The greatest common factor of 2529/564,3025/2935 = [GCF of 2529,3025]/[LCM of 564,2935]= 1/1655340
Therefore, the GCF of 2529/564,3025/2935 is 1/1655340.
To find the highest common factor of 2529,3025, we have to find the factors of both numbers and list the highest common factor.
The factors of 2529 are 1, 3, 9, 281, 843, 2529
The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025
The HCF of 2529,3025 is 1.
Lets's calculate GCF of 2529,3025
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2529,3025 By Matching Biggest Common Factor Method
Now, list down the factors of 2529
:1,3,9,281,843,2529
Now, list down the factors of 3025
:1,5,11,25,55,121,275,605,3025
Greatest Common Factor
We found the factors 2529,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 2529,3025 is 1.
Lets's calculate LCM of 564,2935
Given numbers has no common factors except 1. So, there LCM is their product i.e 1655340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1655340
Therefore, the GCF of Fractions 2529/564,3025/2935 is 1/1655340
Least Common Multiple of 564,2935 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 564,2935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2935) x common factors =1 x 1 = 1
LCM(564,2935) = ( 564 × 2935 ) / 1
LCM(564,2935) = 1655340 / 1
LCM(564,2935) = 1655340
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FAQs on GCF of Fractions of 2529/564, 3025/2935
1. What is the HCF of 2529,3025?
The HCF of 2529,3025 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 2529/564, 3025/2935?
Answer: GCF of Numerators as per given numbers 2529/564, 3025/2935 is
GCF of Numerators i.e. for 2529,3025 is 1
LCM of denominators i.e. for 564,2935 is 1655340.
Thus, GCF of Fractions is 1/1655340.Finally, GCF of Fractions for 2529/564, 3025/2935 is 1/1655340.