GCF of 8553/910, 8430/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8553/910, 8430/409 i.e 3/372190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8553/910, 8430/409.
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 8553/910,8430/409?
Given fractions are 8553/910,8430/409
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 8553/910,8430/409, numerators are 8553,8430
Denominators are 910,409
The GCF of 8553,8430 is 3 .
LCM of 910,409 is 372190.
The greatest common factor of 8553/910,8430/409 = [GCF of 8553,8430]/[LCM of 910,409]= 3/372190
Therefore, the GCF of 8553/910,8430/409 is 3/372190.
To find the highest common factor of 8553,8430, we have to find the factors of both numbers and list the highest common factor.
The factors of 8553 are 1, 3, 2851, 8553
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The HCF of 8553,8430 is 3.
Lets's calculate GCF of 8553,8430
| 3 | 8553, 8430 |
| 2851, 2810 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8553,8430 By Matching Biggest Common Factor Method
Now, list down the factors of 8553
:1,3,2851,8553
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 8553,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 8553,8430 is 3.
Lets's calculate LCM of 910,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 372190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/372190
Therefore, the GCF of Fractions 8553/910,8430/409 is 3/372190
Least Common Multiple of 910,409 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 910,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,409) x common factors =1 x 1 = 1
LCM(910,409) = ( 910 × 409 ) / 1
LCM(910,409) = 372190 / 1
LCM(910,409) = 372190
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FAQs on GCF of Fractions of 8553/910, 8430/409
1. What is the HCF of 8553,8430?
The HCF of 8553,8430 is 3
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 8553/910, 8430/409?
Answer: GCF of Numerators as per given numbers 8553/910, 8430/409 is
GCF of Numerators i.e. for 8553,8430 is 3
LCM of denominators i.e. for 910,409 is 372190.
Thus, GCF of Fractions is 3/372190.Finally, GCF of Fractions for 8553/910, 8430/409 is 3/372190.