GCF of 1855/500, 1246/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1855/500, 1246/3732 i.e 7/466500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1855/500, 1246/3732.
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 1855/500,1246/3732?
Given fractions are 1855/500,1246/3732
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 1855/500,1246/3732, numerators are 1855,1246
Denominators are 500,3732
The GCF of 1855,1246 is 7 .
LCM of 500,3732 is 466500.
The greatest common factor of 1855/500,1246/3732 = [GCF of 1855,1246]/[LCM of 500,3732]= 7/466500
Therefore, the GCF of 1855/500,1246/3732 is 7/466500.
To find the highest common factor of 1855,1246, we have to find the factors of both numbers and list the highest common factor.
The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855
The factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246
The HCF of 1855,1246 is 7.
Lets's calculate GCF of 1855,1246
| 7 | 1855, 1246 |
| 265, 178 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1855,1246 By Matching Biggest Common Factor Method
Now, list down the factors of 1855
:1,5,7,35,53,265,371,1855
Now, list down the factors of 1246
:1,2,7,14,89,178,623,1246
Greatest Common Factor
We found the factors 1855,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 1855,1246 is 7.
Lets's calculate LCM of 500,3732
| 2 | 500, 3732 |
| 2 | 250, 1866 |
| 125, 933 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 933 = 466500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/466500
Therefore, the GCF of Fractions 1855/500,1246/3732 is 7/466500
Least Common Multiple of 500,3732 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 500,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,3732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(500,3732) x common factors =4 x 1 = 4
LCM(500,3732) = ( 500 × 3732 ) / 4
LCM(500,3732) = 1866000 / 4
LCM(500,3732) = 466500
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FAQs on GCF of Fractions of 1855/500, 1246/3732
1. What is the HCF of 1855,1246?
The HCF of 1855,1246 is 7
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 1855/500, 1246/3732?
Answer: GCF of Numerators as per given numbers 1855/500, 1246/3732 is
GCF of Numerators i.e. for 1855,1246 is 7
LCM of denominators i.e. for 500,3732 is 466500.
Thus, GCF of Fractions is 7/466500.Finally, GCF of Fractions for 1855/500, 1246/3732 is 7/466500.