GCF of 6904/971, 9122/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6904/971, 9122/433 i.e 2/420443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6904/971, 9122/433.
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 6904/971,9122/433?
Given fractions are 6904/971,9122/433
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 6904/971,9122/433, numerators are 6904,9122
Denominators are 971,433
The GCF of 6904,9122 is 2 .
LCM of 971,433 is 420443.
The greatest common factor of 6904/971,9122/433 = [GCF of 6904,9122]/[LCM of 971,433]= 2/420443
Therefore, the GCF of 6904/971,9122/433 is 2/420443.
To find the highest common factor of 6904,9122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904
The factors of 9122 are 1, 2, 4561, 9122
The HCF of 6904,9122 is 2.
Lets's calculate GCF of 6904,9122
| 2 | 6904, 9122 |
| 3452, 4561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6904,9122 By Matching Biggest Common Factor Method
Now, list down the factors of 6904
:1,2,4,8,863,1726,3452,6904
Now, list down the factors of 9122
:1,2,4561,9122
Greatest Common Factor
We found the factors 6904,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 6904,9122 is 2.
Lets's calculate LCM of 971,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 420443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420443
Therefore, the GCF of Fractions 6904/971,9122/433 is 2/420443
Least Common Multiple of 971,433 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 971,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,433) x common factors =1 x 1 = 1
LCM(971,433) = ( 971 × 433 ) / 1
LCM(971,433) = 420443 / 1
LCM(971,433) = 420443
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FAQs on GCF of Fractions of 6904/971, 9122/433
1. What is the HCF of 6904,9122?
The HCF of 6904,9122 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 6904/971, 9122/433?
Answer: GCF of Numerators as per given numbers 6904/971, 9122/433 is
GCF of Numerators i.e. for 6904,9122 is 2
LCM of denominators i.e. for 971,433 is 420443.
Thus, GCF of Fractions is 2/420443.Finally, GCF of Fractions for 6904/971, 9122/433 is 2/420443.