GCF of 3997/812, 9874/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3997/812, 9874/516 i.e 1/104748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3997/812, 9874/516.
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 3997/812,9874/516?
Given fractions are 3997/812,9874/516
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 3997/812,9874/516, numerators are 3997,9874
Denominators are 812,516
The GCF of 3997,9874 is 1 .
LCM of 812,516 is 104748.
The greatest common factor of 3997/812,9874/516 = [GCF of 3997,9874]/[LCM of 812,516]= 1/104748
Therefore, the GCF of 3997/812,9874/516 is 1/104748.
To find the highest common factor of 3997,9874, we have to find the factors of both numbers and list the highest common factor.
The factors of 3997 are 1, 7, 571, 3997
The factors of 9874 are 1, 2, 4937, 9874
The HCF of 3997,9874 is 1.
Lets's calculate GCF of 3997,9874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3997,9874 By Matching Biggest Common Factor Method
Now, list down the factors of 3997
:1,7,571,3997
Now, list down the factors of 9874
:1,2,4937,9874
Greatest Common Factor
We found the factors 3997,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 3997,9874 is 1.
Lets's calculate LCM of 812,516
| 2 | 812, 516 |
| 2 | 406, 258 |
| 203, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 129 = 104748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104748
Therefore, the GCF of Fractions 3997/812,9874/516 is 1/104748
Least Common Multiple of 812,516 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 812,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,516) x common factors =4 x 1 = 4
LCM(812,516) = ( 812 × 516 ) / 4
LCM(812,516) = 418992 / 4
LCM(812,516) = 104748
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FAQs on GCF of Fractions of 3997/812, 9874/516
1. What is the HCF of 3997,9874?
The HCF of 3997,9874 is 1
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 3997/812, 9874/516?
Answer: GCF of Numerators as per given numbers 3997/812, 9874/516 is
GCF of Numerators i.e. for 3997,9874 is 1
LCM of denominators i.e. for 812,516 is 104748.
Thus, GCF of Fractions is 1/104748.Finally, GCF of Fractions for 3997/812, 9874/516 is 1/104748.