GCF of 9382/238, 5838/8962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9382/238, 5838/8962 i.e 2/1066478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9382/238, 5838/8962.
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 9382/238,5838/8962?
Given fractions are 9382/238,5838/8962
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 9382/238,5838/8962, numerators are 9382,5838
Denominators are 238,8962
The GCF of 9382,5838 is 2 .
LCM of 238,8962 is 1066478.
The greatest common factor of 9382/238,5838/8962 = [GCF of 9382,5838]/[LCM of 238,8962]= 2/1066478
Therefore, the GCF of 9382/238,5838/8962 is 2/1066478.
To find the highest common factor of 9382,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 9382 are 1, 2, 4691, 9382
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 9382,5838 is 2.
Lets's calculate GCF of 9382,5838
| 2 | 9382, 5838 |
| 4691, 2919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9382,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 9382
:1,2,4691,9382
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 9382,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,5838 is 2.
Lets's calculate LCM of 238,8962
| 2 | 238, 8962 |
| 119, 4481 |
∴ So the LCM of the given numbers is 2 x 119 x 4481 = 1066478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1066478
Therefore, the GCF of Fractions 9382/238,5838/8962 is 2/1066478
Least Common Multiple of 238,8962 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 238,8962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,8962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,8962) x common factors =2 x 1 = 2
LCM(238,8962) = ( 238 × 8962 ) / 2
LCM(238,8962) = 2132956 / 2
LCM(238,8962) = 1066478
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FAQs on GCF of Fractions of 9382/238, 5838/8962
1. What is the HCF of 9382,5838?
The HCF of 9382,5838 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 9382/238, 5838/8962?
Answer: GCF of Numerators as per given numbers 9382/238, 5838/8962 is
GCF of Numerators i.e. for 9382,5838 is 2
LCM of denominators i.e. for 238,8962 is 1066478.
Thus, GCF of Fractions is 2/1066478.Finally, GCF of Fractions for 9382/238, 5838/8962 is 2/1066478.