GCF of 9466/938, 2096/6957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9466/938, 2096/6957 i.e 2/6525666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9466/938, 2096/6957.
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 9466/938,2096/6957?
Given fractions are 9466/938,2096/6957
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 9466/938,2096/6957, numerators are 9466,2096
Denominators are 938,6957
The GCF of 9466,2096 is 2 .
LCM of 938,6957 is 6525666.
The greatest common factor of 9466/938,2096/6957 = [GCF of 9466,2096]/[LCM of 938,6957]= 2/6525666
Therefore, the GCF of 9466/938,2096/6957 is 2/6525666.
To find the highest common factor of 9466,2096, we have to find the factors of both numbers and list the highest common factor.
The factors of 9466 are 1, 2, 4733, 9466
The factors of 2096 are 1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096
The HCF of 9466,2096 is 2.
Lets's calculate GCF of 9466,2096
| 2 | 9466, 2096 |
| 4733, 1048 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9466,2096 By Matching Biggest Common Factor Method
Now, list down the factors of 9466
:1,2,4733,9466
Now, list down the factors of 2096
:1,2,4,8,16,131,262,524,1048,2096
Greatest Common Factor
We found the factors 9466,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 9466,2096 is 2.
Lets's calculate LCM of 938,6957
Given numbers has no common factors except 1. So, there LCM is their product i.e 6525666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6525666
Therefore, the GCF of Fractions 9466/938,2096/6957 is 2/6525666
Least Common Multiple of 938,6957 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 938,6957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,6957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,6957) x common factors =1 x 1 = 1
LCM(938,6957) = ( 938 × 6957 ) / 1
LCM(938,6957) = 6525666 / 1
LCM(938,6957) = 6525666
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FAQs on GCF of Fractions of 9466/938, 2096/6957
1. What is the HCF of 9466,2096?
The HCF of 9466,2096 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 9466/938, 2096/6957?
Answer: GCF of Numerators as per given numbers 9466/938, 2096/6957 is
GCF of Numerators i.e. for 9466,2096 is 2
LCM of denominators i.e. for 938,6957 is 6525666.
Thus, GCF of Fractions is 2/6525666.Finally, GCF of Fractions for 9466/938, 2096/6957 is 2/6525666.