GCF of 3451/800, 8421/7625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3451/800, 8421/7625 i.e 7/244000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3451/800, 8421/7625.
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 3451/800,8421/7625?
Given fractions are 3451/800,8421/7625
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 3451/800,8421/7625, numerators are 3451,8421
Denominators are 800,7625
The GCF of 3451,8421 is 7 .
LCM of 800,7625 is 244000.
The greatest common factor of 3451/800,8421/7625 = [GCF of 3451,8421]/[LCM of 800,7625]= 7/244000
Therefore, the GCF of 3451/800,8421/7625 is 7/244000.
To find the highest common factor of 3451,8421, we have to find the factors of both numbers and list the highest common factor.
The factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451
The factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The HCF of 3451,8421 is 7.
Lets's calculate GCF of 3451,8421
| 7 | 3451, 8421 |
| 493, 1203 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3451,8421 By Matching Biggest Common Factor Method
Now, list down the factors of 3451
:1,7,17,29,119,203,493,3451
Now, list down the factors of 8421
:1,3,7,21,401,1203,2807,8421
Greatest Common Factor
We found the factors 3451,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 3451,8421 is 7.
Lets's calculate LCM of 800,7625
| 5 | 800, 7625 |
| 5 | 160, 1525 |
| 32, 305 |
∴ So the LCM of the given numbers is 5 x 5 x 32 x 305 = 244000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/244000
Therefore, the GCF of Fractions 3451/800,8421/7625 is 7/244000
Least Common Multiple of 800,7625 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 800,7625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,7625) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(800,7625) x common factors =25 x 1 = 25
LCM(800,7625) = ( 800 × 7625 ) / 25
LCM(800,7625) = 6100000 / 25
LCM(800,7625) = 244000
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FAQs on GCF of Fractions of 3451/800, 8421/7625
1. What is the HCF of 3451,8421?
The HCF of 3451,8421 is 7
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 3451/800, 8421/7625?
Answer: GCF of Numerators as per given numbers 3451/800, 8421/7625 is
GCF of Numerators i.e. for 3451,8421 is 7
LCM of denominators i.e. for 800,7625 is 244000.
Thus, GCF of Fractions is 7/244000.Finally, GCF of Fractions for 3451/800, 8421/7625 is 7/244000.