GCF of 7952/458, 1838/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7952/458, 1838/239 i.e 2/109462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7952/458, 1838/239.
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 7952/458,1838/239?
Given fractions are 7952/458,1838/239
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 7952/458,1838/239, numerators are 7952,1838
Denominators are 458,239
The GCF of 7952,1838 is 2 .
LCM of 458,239 is 109462.
The greatest common factor of 7952/458,1838/239 = [GCF of 7952,1838]/[LCM of 458,239]= 2/109462
Therefore, the GCF of 7952/458,1838/239 is 2/109462.
To find the highest common factor of 7952,1838, we have to find the factors of both numbers and list the highest common factor.
The factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952
The factors of 1838 are 1, 2, 919, 1838
The HCF of 7952,1838 is 2.
Lets's calculate GCF of 7952,1838
| 2 | 7952, 1838 |
| 3976, 919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7952,1838 By Matching Biggest Common Factor Method
Now, list down the factors of 7952
:1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952
Now, list down the factors of 1838
:1,2,919,1838
Greatest Common Factor
We found the factors 7952,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 7952,1838 is 2.
Lets's calculate LCM of 458,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 109462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109462
Therefore, the GCF of Fractions 7952/458,1838/239 is 2/109462
Least Common Multiple of 458,239 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 458,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,239) x common factors =1 x 1 = 1
LCM(458,239) = ( 458 × 239 ) / 1
LCM(458,239) = 109462 / 1
LCM(458,239) = 109462
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FAQs on GCF of Fractions of 7952/458, 1838/239
1. What is the HCF of 7952,1838?
The HCF of 7952,1838 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 7952/458, 1838/239?
Answer: GCF of Numerators as per given numbers 7952/458, 1838/239 is
GCF of Numerators i.e. for 7952,1838 is 2
LCM of denominators i.e. for 458,239 is 109462.
Thus, GCF of Fractions is 2/109462.Finally, GCF of Fractions for 7952/458, 1838/239 is 2/109462.