GCF of 237/418, 310/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/418, 310/610 i.e 1/127490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/418, 310/610.
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 237/418,310/610?
Given fractions are 237/418,310/610
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 237/418,310/610, numerators are 237,310
Denominators are 418,610
The GCF of 237,310 is 1 .
LCM of 418,610 is 127490.
The greatest common factor of 237/418,310/610 = [GCF of 237,310]/[LCM of 418,610]= 1/127490
Therefore, the GCF of 237/418,310/610 is 1/127490.
To find the highest common factor of 237,310, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The HCF of 237,310 is 1.
Lets's calculate GCF of 237,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 237,310 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 237,310 . The biggest common factor number is the GCF number.
So the greatest common factor 237,310 is 1.
Lets's calculate LCM of 418,610
| 2 | 418, 610 |
| 209, 305 |
∴ So the LCM of the given numbers is 2 x 209 x 305 = 127490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127490
Therefore, the GCF of Fractions 237/418,310/610 is 1/127490
Least Common Multiple of 418,610 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 418,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,610) x common factors =2 x 1 = 2
LCM(418,610) = ( 418 × 610 ) / 2
LCM(418,610) = 254980 / 2
LCM(418,610) = 127490
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FAQs on GCF of Fractions of 237/418, 310/610
1. What is the HCF of 237,310?
The HCF of 237,310 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 237/418, 310/610?
Answer: GCF of Numerators as per given numbers 237/418, 310/610 is
GCF of Numerators i.e. for 237,310 is 1
LCM of denominators i.e. for 418,610 is 127490.
Thus, GCF of Fractions is 1/127490.Finally, GCF of Fractions for 237/418, 310/610 is 1/127490.