GCF of 1898/510, 2238/3728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1898/510, 2238/3728 i.e 2/950640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1898/510, 2238/3728.
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 1898/510,2238/3728?
Given fractions are 1898/510,2238/3728
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 1898/510,2238/3728, numerators are 1898,2238
Denominators are 510,3728
The GCF of 1898,2238 is 2 .
LCM of 510,3728 is 950640.
The greatest common factor of 1898/510,2238/3728 = [GCF of 1898,2238]/[LCM of 510,3728]= 2/950640
Therefore, the GCF of 1898/510,2238/3728 is 2/950640.
To find the highest common factor of 1898,2238, we have to find the factors of both numbers and list the highest common factor.
The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898
The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238
The HCF of 1898,2238 is 2.
Lets's calculate GCF of 1898,2238
| 2 | 1898, 2238 |
| 949, 1119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1898,2238 By Matching Biggest Common Factor Method
Now, list down the factors of 1898
:1,2,13,26,73,146,949,1898
Now, list down the factors of 2238
:1,2,3,6,373,746,1119,2238
Greatest Common Factor
We found the factors 1898,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 1898,2238 is 2.
Lets's calculate LCM of 510,3728
| 2 | 510, 3728 |
| 255, 1864 |
∴ So the LCM of the given numbers is 2 x 255 x 1864 = 950640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/950640
Therefore, the GCF of Fractions 1898/510,2238/3728 is 2/950640
Least Common Multiple of 510,3728 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 510,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,3728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,3728) x common factors =2 x 1 = 2
LCM(510,3728) = ( 510 × 3728 ) / 2
LCM(510,3728) = 1901280 / 2
LCM(510,3728) = 950640
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FAQs on GCF of Fractions of 1898/510, 2238/3728
1. What is the HCF of 1898,2238?
The HCF of 1898,2238 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 1898/510, 2238/3728?
Answer: GCF of Numerators as per given numbers 1898/510, 2238/3728 is
GCF of Numerators i.e. for 1898,2238 is 2
LCM of denominators i.e. for 510,3728 is 950640.
Thus, GCF of Fractions is 2/950640.Finally, GCF of Fractions for 1898/510, 2238/3728 is 2/950640.