GCF of 5840/529, 4407/2526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5840/529, 4407/2526 i.e 1/1336254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/529, 4407/2526.
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 5840/529,4407/2526?
Given fractions are 5840/529,4407/2526
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 5840/529,4407/2526, numerators are 5840,4407
Denominators are 529,2526
The GCF of 5840,4407 is 1 .
LCM of 529,2526 is 1336254.
The greatest common factor of 5840/529,4407/2526 = [GCF of 5840,4407]/[LCM of 529,2526]= 1/1336254
Therefore, the GCF of 5840/529,4407/2526 is 1/1336254.
To find the highest common factor of 5840,4407, we have to find the factors of both numbers and list the highest common factor.
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The HCF of 5840,4407 is 1.
Lets's calculate GCF of 5840,4407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5840,4407 By Matching Biggest Common Factor Method
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Greatest Common Factor
We found the factors 5840,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,4407 is 1.
Lets's calculate LCM of 529,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1336254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336254
Therefore, the GCF of Fractions 5840/529,4407/2526 is 1/1336254
Least Common Multiple of 529,2526 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 529,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,2526) x common factors =1 x 1 = 1
LCM(529,2526) = ( 529 × 2526 ) / 1
LCM(529,2526) = 1336254 / 1
LCM(529,2526) = 1336254
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FAQs on GCF of Fractions of 5840/529, 4407/2526
1. What is the HCF of 5840,4407?
The HCF of 5840,4407 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 5840/529, 4407/2526?
Answer: GCF of Numerators as per given numbers 5840/529, 4407/2526 is
GCF of Numerators i.e. for 5840,4407 is 1
LCM of denominators i.e. for 529,2526 is 1336254.
Thus, GCF of Fractions is 1/1336254.Finally, GCF of Fractions for 5840/529, 4407/2526 is 1/1336254.