GCF of 5634/462, 1488/5625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5634/462, 1488/5625 i.e 6/866250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5634/462, 1488/5625.
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 5634/462,1488/5625?
Given fractions are 5634/462,1488/5625
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 5634/462,1488/5625, numerators are 5634,1488
Denominators are 462,5625
The GCF of 5634,1488 is 6 .
LCM of 462,5625 is 866250.
The greatest common factor of 5634/462,1488/5625 = [GCF of 5634,1488]/[LCM of 462,5625]= 6/866250
Therefore, the GCF of 5634/462,1488/5625 is 6/866250.
To find the highest common factor of 5634,1488, we have to find the factors of both numbers and list the highest common factor.
The factors of 5634 are 1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488
The HCF of 5634,1488 is 6.
Lets's calculate GCF of 5634,1488
| 2 | 5634, 1488 |
| 3 | 2817, 744 |
| 939, 248 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5634,1488 By Matching Biggest Common Factor Method
Now, list down the factors of 5634
:1,2,3,6,9,18,313,626,939,1878,2817,5634
Now, list down the factors of 1488
:1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Greatest Common Factor
We found the factors 5634,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 5634,1488 is 6.
Lets's calculate LCM of 462,5625
| 3 | 462, 5625 |
| 154, 1875 |
∴ So the LCM of the given numbers is 3 x 154 x 1875 = 866250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/866250
Therefore, the GCF of Fractions 5634/462,1488/5625 is 6/866250
Least Common Multiple of 462,5625 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 462,5625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5625) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5625) x common factors =3 x 1 = 3
LCM(462,5625) = ( 462 × 5625 ) / 3
LCM(462,5625) = 2598750 / 3
LCM(462,5625) = 866250
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FAQs on GCF of Fractions of 5634/462, 1488/5625
1. What is the HCF of 5634,1488?
The HCF of 5634,1488 is 6
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 5634/462, 1488/5625?
Answer: GCF of Numerators as per given numbers 5634/462, 1488/5625 is
GCF of Numerators i.e. for 5634,1488 is 6
LCM of denominators i.e. for 462,5625 is 866250.
Thus, GCF of Fractions is 6/866250.Finally, GCF of Fractions for 5634/462, 1488/5625 is 6/866250.