GCF of 3947/918, 4407/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3947/918, 4407/963 i.e 1/98226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3947/918, 4407/963.
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 3947/918,4407/963?
Given fractions are 3947/918,4407/963
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 3947/918,4407/963, numerators are 3947,4407
Denominators are 918,963
The GCF of 3947,4407 is 1 .
LCM of 918,963 is 98226.
The greatest common factor of 3947/918,4407/963 = [GCF of 3947,4407]/[LCM of 918,963]= 1/98226
Therefore, the GCF of 3947/918,4407/963 is 1/98226.
To find the highest common factor of 3947,4407, we have to find the factors of both numbers and list the highest common factor.
The factors of 3947 are 1, 3947
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The HCF of 3947,4407 is 1.
Lets's calculate GCF of 3947,4407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3947,4407 By Matching Biggest Common Factor Method
Now, list down the factors of 3947
:1,3947
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Greatest Common Factor
We found the factors 3947,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 3947,4407 is 1.
Lets's calculate LCM of 918,963
| 3 | 918, 963 |
| 3 | 306, 321 |
| 102, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 102 x 107 = 98226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98226
Therefore, the GCF of Fractions 3947/918,4407/963 is 1/98226
Least Common Multiple of 918,963 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 918,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,963) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(918,963) x common factors =9 x 1 = 9
LCM(918,963) = ( 918 × 963 ) / 9
LCM(918,963) = 884034 / 9
LCM(918,963) = 98226
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FAQs on GCF of Fractions of 3947/918, 4407/963
1. What is the HCF of 3947,4407?
The HCF of 3947,4407 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 3947/918, 4407/963?
Answer: GCF of Numerators as per given numbers 3947/918, 4407/963 is
GCF of Numerators i.e. for 3947,4407 is 1
LCM of denominators i.e. for 918,963 is 98226.
Thus, GCF of Fractions is 1/98226.Finally, GCF of Fractions for 3947/918, 4407/963 is 1/98226.