GCF of 9457/656, 6645/3176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9457/656, 6645/3176 i.e 1/260432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9457/656, 6645/3176.
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 9457/656,6645/3176?
Given fractions are 9457/656,6645/3176
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 9457/656,6645/3176, numerators are 9457,6645
Denominators are 656,3176
The GCF of 9457,6645 is 1 .
LCM of 656,3176 is 260432.
The greatest common factor of 9457/656,6645/3176 = [GCF of 9457,6645]/[LCM of 656,3176]= 1/260432
Therefore, the GCF of 9457/656,6645/3176 is 1/260432.
To find the highest common factor of 9457,6645, we have to find the factors of both numbers and list the highest common factor.
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645
The HCF of 9457,6645 is 1.
Lets's calculate GCF of 9457,6645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9457,6645 By Matching Biggest Common Factor Method
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Now, list down the factors of 6645
:1,3,5,15,443,1329,2215,6645
Greatest Common Factor
We found the factors 9457,6645 . The biggest common factor number is the GCF number.
So the greatest common factor 9457,6645 is 1.
Lets's calculate LCM of 656,3176
| 2 | 656, 3176 |
| 2 | 328, 1588 |
| 2 | 164, 794 |
| 82, 397 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 397 = 260432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260432
Therefore, the GCF of Fractions 9457/656,6645/3176 is 1/260432
Least Common Multiple of 656,3176 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 656,3176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,3176) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(656,3176) x common factors =8 x 1 = 8
LCM(656,3176) = ( 656 × 3176 ) / 8
LCM(656,3176) = 2083456 / 8
LCM(656,3176) = 260432
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9457/656, 6645/3176
1. What is the HCF of 9457,6645?
The HCF of 9457,6645 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 9457/656, 6645/3176?
Answer: GCF of Numerators as per given numbers 9457/656, 6645/3176 is
GCF of Numerators i.e. for 9457,6645 is 1
LCM of denominators i.e. for 656,3176 is 260432.
Thus, GCF of Fractions is 1/260432.Finally, GCF of Fractions for 9457/656, 6645/3176 is 1/260432.