GCF of 8431/624, 8490/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8431/624, 8490/624 i.e 1/624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8431/624, 8490/624.
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 8431/624,8490/624?
Given fractions are 8431/624,8490/624
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 8431/624,8490/624, numerators are 8431,8490
Denominators are 624,624
The GCF of 8431,8490 is 1 .
LCM of 624,624 is 624.
The greatest common factor of 8431/624,8490/624 = [GCF of 8431,8490]/[LCM of 624,624]= 1/624
Therefore, the GCF of 8431/624,8490/624 is 1/624.
To find the highest common factor of 8431,8490, we have to find the factors of both numbers and list the highest common factor.
The factors of 8431 are 1, 8431
The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
The HCF of 8431,8490 is 1.
Lets's calculate GCF of 8431,8490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8431,8490 By Matching Biggest Common Factor Method
Now, list down the factors of 8431
:1,8431
Now, list down the factors of 8490
:1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors 8431,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 8431,8490 is 1.
Lets's calculate LCM of 624,624
| 2 | 624, 624 |
| 2 | 312, 312 |
| 2 | 156, 156 |
| 2 | 78, 78 |
| 3 | 39, 39 |
| 13 | 13, 13 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 1 x 1 = 624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624
Therefore, the GCF of Fractions 8431/624,8490/624 is 1/624
Least Common Multiple of 624,624 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 624,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,624) = 624
common factors(in case of two or more numbers have common factors) = 1
GCF(624,624) x common factors =624 x 1 = 624
LCM(624,624) = ( 624 × 624 ) / 624
LCM(624,624) = 389376 / 624
LCM(624,624) = 624
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FAQs on GCF of Fractions of 8431/624, 8490/624
1. What is the HCF of 8431,8490?
The HCF of 8431,8490 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 8431/624, 8490/624?
Answer: GCF of Numerators as per given numbers 8431/624, 8490/624 is
GCF of Numerators i.e. for 8431,8490 is 1
LCM of denominators i.e. for 624,624 is 624.
Thus, GCF of Fractions is 1/624.Finally, GCF of Fractions for 8431/624, 8490/624 is 1/624.