GCF of 4855/365, 6627/1900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4855/365, 6627/1900 i.e 1/138700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4855/365, 6627/1900.
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 4855/365,6627/1900?
Given fractions are 4855/365,6627/1900
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 4855/365,6627/1900, numerators are 4855,6627
Denominators are 365,1900
The GCF of 4855,6627 is 1 .
LCM of 365,1900 is 138700.
The greatest common factor of 4855/365,6627/1900 = [GCF of 4855,6627]/[LCM of 365,1900]= 1/138700
Therefore, the GCF of 4855/365,6627/1900 is 1/138700.
To find the highest common factor of 4855,6627, we have to find the factors of both numbers and list the highest common factor.
The factors of 4855 are 1, 5, 971, 4855
The factors of 6627 are 1, 3, 47, 141, 2209, 6627
The HCF of 4855,6627 is 1.
Lets's calculate GCF of 4855,6627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4855,6627 By Matching Biggest Common Factor Method
Now, list down the factors of 4855
:1,5,971,4855
Now, list down the factors of 6627
:1,3,47,141,2209,6627
Greatest Common Factor
We found the factors 4855,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 4855,6627 is 1.
Lets's calculate LCM of 365,1900
| 5 | 365, 1900 |
| 73, 380 |
∴ So the LCM of the given numbers is 5 x 73 x 380 = 138700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138700
Therefore, the GCF of Fractions 4855/365,6627/1900 is 1/138700
Least Common Multiple of 365,1900 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 365,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,1900) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,1900) x common factors =5 x 1 = 5
LCM(365,1900) = ( 365 × 1900 ) / 5
LCM(365,1900) = 693500 / 5
LCM(365,1900) = 138700
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FAQs on GCF of Fractions of 4855/365, 6627/1900
1. What is the HCF of 4855,6627?
The HCF of 4855,6627 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 4855/365, 6627/1900?
Answer: GCF of Numerators as per given numbers 4855/365, 6627/1900 is
GCF of Numerators i.e. for 4855,6627 is 1
LCM of denominators i.e. for 365,1900 is 138700.
Thus, GCF of Fractions is 1/138700.Finally, GCF of Fractions for 4855/365, 6627/1900 is 1/138700.