GCF of 1850/421, 9698/3775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1850/421, 9698/3775 i.e 2/1589275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1850/421, 9698/3775.
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 1850/421,9698/3775?
Given fractions are 1850/421,9698/3775
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 1850/421,9698/3775, numerators are 1850,9698
Denominators are 421,3775
The GCF of 1850,9698 is 2 .
LCM of 421,3775 is 1589275.
The greatest common factor of 1850/421,9698/3775 = [GCF of 1850,9698]/[LCM of 421,3775]= 2/1589275
Therefore, the GCF of 1850/421,9698/3775 is 2/1589275.
To find the highest common factor of 1850,9698, we have to find the factors of both numbers and list the highest common factor.
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The HCF of 1850,9698 is 2.
Lets's calculate GCF of 1850,9698
| 2 | 1850, 9698 |
| 925, 4849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1850,9698 By Matching Biggest Common Factor Method
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 1850,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,9698 is 2.
Lets's calculate LCM of 421,3775
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1589275
Therefore, the GCF of Fractions 1850/421,9698/3775 is 2/1589275
Least Common Multiple of 421,3775 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 421,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,3775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,3775) x common factors =1 x 1 = 1
LCM(421,3775) = ( 421 × 3775 ) / 1
LCM(421,3775) = 1589275 / 1
LCM(421,3775) = 1589275
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FAQs on GCF of Fractions of 1850/421, 9698/3775
1. What is the HCF of 1850,9698?
The HCF of 1850,9698 is 2
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 1850/421, 9698/3775?
Answer: GCF of Numerators as per given numbers 1850/421, 9698/3775 is
GCF of Numerators i.e. for 1850,9698 is 2
LCM of denominators i.e. for 421,3775 is 1589275.
Thus, GCF of Fractions is 2/1589275.Finally, GCF of Fractions for 1850/421, 9698/3775 is 2/1589275.