GCF of 730/427, 2555/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 730/427, 2555/523 i.e 365/223321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/427, 2555/523.
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 730/427,2555/523?
Given fractions are 730/427,2555/523
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 730/427,2555/523, numerators are 730,2555
Denominators are 427,523
The GCF of 730,2555 is 365 .
LCM of 427,523 is 223321.
The greatest common factor of 730/427,2555/523 = [GCF of 730,2555]/[LCM of 427,523]= 365/223321
Therefore, the GCF of 730/427,2555/523 is 365/223321.
To find the highest common factor of 730,2555, we have to find the factors of both numbers and list the highest common factor.
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555
The HCF of 730,2555 is 365.
Lets's calculate GCF of 730,2555
| 5 | 730, 2555 |
| 73 | 146, 511 |
| 2, 7 |
∴ So the GCF of the given numbers is 5 x 73 = 365
Greatest Common Factor of 730,2555 By Matching Biggest Common Factor Method
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 2555
:1,5,7,35,73,365,511,2555
Greatest Common Factor
We found the factors 730,2555 . The biggest common factor number is the GCF number.
So the greatest common factor 730,2555 is 365.
Lets's calculate LCM of 427,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 223321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 365/223321
Therefore, the GCF of Fractions 730/427,2555/523 is 365/223321
Least Common Multiple of 427,523 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 427,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,523) x common factors =1 x 1 = 1
LCM(427,523) = ( 427 × 523 ) / 1
LCM(427,523) = 223321 / 1
LCM(427,523) = 223321
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FAQs on GCF of Fractions of 730/427, 2555/523
1. What is the HCF of 730,2555?
The HCF of 730,2555 is 365
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 730/427, 2555/523?
Answer: GCF of Numerators as per given numbers 730/427, 2555/523 is
GCF of Numerators i.e. for 730,2555 is 365
LCM of denominators i.e. for 427,523 is 223321.
Thus, GCF of Fractions is 365/223321.Finally, GCF of Fractions for 730/427, 2555/523 is 365/223321.