GCF of 1238/353, 3034/9588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1238/353, 3034/9588 i.e 2/3384564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1238/353, 3034/9588.
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 1238/353,3034/9588?
Given fractions are 1238/353,3034/9588
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 1238/353,3034/9588, numerators are 1238,3034
Denominators are 353,9588
The GCF of 1238,3034 is 2 .
LCM of 353,9588 is 3384564.
The greatest common factor of 1238/353,3034/9588 = [GCF of 1238,3034]/[LCM of 353,9588]= 2/3384564
Therefore, the GCF of 1238/353,3034/9588 is 2/3384564.
To find the highest common factor of 1238,3034, we have to find the factors of both numbers and list the highest common factor.
The factors of 1238 are 1, 2, 619, 1238
The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034
The HCF of 1238,3034 is 2.
Lets's calculate GCF of 1238,3034
| 2 | 1238, 3034 |
| 619, 1517 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1238,3034 By Matching Biggest Common Factor Method
Now, list down the factors of 1238
:1,2,619,1238
Now, list down the factors of 3034
:1,2,37,41,74,82,1517,3034
Greatest Common Factor
We found the factors 1238,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 1238,3034 is 2.
Lets's calculate LCM of 353,9588
Given numbers has no common factors except 1. So, there LCM is their product i.e 3384564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3384564
Therefore, the GCF of Fractions 1238/353,3034/9588 is 2/3384564
Least Common Multiple of 353,9588 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 353,9588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,9588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,9588) x common factors =1 x 1 = 1
LCM(353,9588) = ( 353 × 9588 ) / 1
LCM(353,9588) = 3384564 / 1
LCM(353,9588) = 3384564
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FAQs on GCF of Fractions of 1238/353, 3034/9588
1. What is the HCF of 1238,3034?
The HCF of 1238,3034 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 1238/353, 3034/9588?
Answer: GCF of Numerators as per given numbers 1238/353, 3034/9588 is
GCF of Numerators i.e. for 1238,3034 is 2
LCM of denominators i.e. for 353,9588 is 3384564.
Thus, GCF of Fractions is 2/3384564.Finally, GCF of Fractions for 1238/353, 3034/9588 is 2/3384564.