GCF of 183/62, 258/1257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 183/62, 258/1257 i.e 3/77934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 183/62, 258/1257.
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 183/62,258/1257?
Given fractions are 183/62,258/1257
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 183/62,258/1257, numerators are 183,258
Denominators are 62,1257
The GCF of 183,258 is 3 .
LCM of 62,1257 is 77934.
The greatest common factor of 183/62,258/1257 = [GCF of 183,258]/[LCM of 62,1257]= 3/77934
Therefore, the GCF of 183/62,258/1257 is 3/77934.
To find the highest common factor of 183,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 183 are 1, 3, 61, 183
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 183,258 is 3.
Lets's calculate GCF of 183,258
| 3 | 183, 258 |
| 61, 86 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 183,258 By Matching Biggest Common Factor Method
Now, list down the factors of 183
:1,3,61,183
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 183,258 . The biggest common factor number is the GCF number.
So the greatest common factor 183,258 is 3.
Lets's calculate LCM of 62,1257
Given numbers has no common factors except 1. So, there LCM is their product i.e 77934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77934
Therefore, the GCF of Fractions 183/62,258/1257 is 3/77934
Least Common Multiple of 62,1257 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 62,1257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,1257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,1257) x common factors =1 x 1 = 1
LCM(62,1257) = ( 62 × 1257 ) / 1
LCM(62,1257) = 77934 / 1
LCM(62,1257) = 77934
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FAQs on GCF of Fractions of 183/62, 258/1257
1. What is the HCF of 183,258?
The HCF of 183,258 is 3
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 183/62, 258/1257?
Answer: GCF of Numerators as per given numbers 183/62, 258/1257 is
GCF of Numerators i.e. for 183,258 is 3
LCM of denominators i.e. for 62,1257 is 77934.
Thus, GCF of Fractions is 3/77934.Finally, GCF of Fractions for 183/62, 258/1257 is 3/77934.