GCF of 5242/238, 3754/3974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5242/238, 3754/3974 i.e 2/472906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5242/238, 3754/3974.
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 5242/238,3754/3974?
Given fractions are 5242/238,3754/3974
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 5242/238,3754/3974, numerators are 5242,3754
Denominators are 238,3974
The GCF of 5242,3754 is 2 .
LCM of 238,3974 is 472906.
The greatest common factor of 5242/238,3754/3974 = [GCF of 5242,3754]/[LCM of 238,3974]= 2/472906
Therefore, the GCF of 5242/238,3754/3974 is 2/472906.
To find the highest common factor of 5242,3754, we have to find the factors of both numbers and list the highest common factor.
The factors of 5242 are 1, 2, 2621, 5242
The factors of 3754 are 1, 2, 1877, 3754
The HCF of 5242,3754 is 2.
Lets's calculate GCF of 5242,3754
| 2 | 5242, 3754 |
| 2621, 1877 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5242,3754 By Matching Biggest Common Factor Method
Now, list down the factors of 5242
:1,2,2621,5242
Now, list down the factors of 3754
:1,2,1877,3754
Greatest Common Factor
We found the factors 5242,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,3754 is 2.
Lets's calculate LCM of 238,3974
| 2 | 238, 3974 |
| 119, 1987 |
∴ So the LCM of the given numbers is 2 x 119 x 1987 = 472906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/472906
Therefore, the GCF of Fractions 5242/238,3754/3974 is 2/472906
Least Common Multiple of 238,3974 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 238,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,3974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,3974) x common factors =2 x 1 = 2
LCM(238,3974) = ( 238 × 3974 ) / 2
LCM(238,3974) = 945812 / 2
LCM(238,3974) = 472906
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FAQs on GCF of Fractions of 5242/238, 3754/3974
1. What is the HCF of 5242,3754?
The HCF of 5242,3754 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 5242/238, 3754/3974?
Answer: GCF of Numerators as per given numbers 5242/238, 3754/3974 is
GCF of Numerators i.e. for 5242,3754 is 2
LCM of denominators i.e. for 238,3974 is 472906.
Thus, GCF of Fractions is 2/472906.Finally, GCF of Fractions for 5242/238, 3754/3974 is 2/472906.