GCF of 3962/478, 1924/9834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3962/478, 1924/9834 i.e 2/2350326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3962/478, 1924/9834.
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 3962/478,1924/9834?
Given fractions are 3962/478,1924/9834
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 3962/478,1924/9834, numerators are 3962,1924
Denominators are 478,9834
The GCF of 3962,1924 is 2 .
LCM of 478,9834 is 2350326.
The greatest common factor of 3962/478,1924/9834 = [GCF of 3962,1924]/[LCM of 478,9834]= 2/2350326
Therefore, the GCF of 3962/478,1924/9834 is 2/2350326.
To find the highest common factor of 3962,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 3962,1924 is 2.
Lets's calculate GCF of 3962,1924
| 2 | 3962, 1924 |
| 1981, 962 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3962,1924 By Matching Biggest Common Factor Method
Now, list down the factors of 3962
:1,2,7,14,283,566,1981,3962
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 3962,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 3962,1924 is 2.
Lets's calculate LCM of 478,9834
| 2 | 478, 9834 |
| 239, 4917 |
∴ So the LCM of the given numbers is 2 x 239 x 4917 = 2350326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2350326
Therefore, the GCF of Fractions 3962/478,1924/9834 is 2/2350326
Least Common Multiple of 478,9834 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 478,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,9834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,9834) x common factors =2 x 1 = 2
LCM(478,9834) = ( 478 × 9834 ) / 2
LCM(478,9834) = 4700652 / 2
LCM(478,9834) = 2350326
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FAQs on GCF of Fractions of 3962/478, 1924/9834
1. What is the HCF of 3962,1924?
The HCF of 3962,1924 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 3962/478, 1924/9834?
Answer: GCF of Numerators as per given numbers 3962/478, 1924/9834 is
GCF of Numerators i.e. for 3962,1924 is 2
LCM of denominators i.e. for 478,9834 is 2350326.
Thus, GCF of Fractions is 2/2350326.Finally, GCF of Fractions for 3962/478, 1924/9834 is 2/2350326.