GCF of 1488/408, 3410/9452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1488/408, 3410/9452 i.e 62/56712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1488/408, 3410/9452.
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 1488/408,3410/9452?
Given fractions are 1488/408,3410/9452
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 1488/408,3410/9452, numerators are 1488,3410
Denominators are 408,9452
The GCF of 1488,3410 is 62 .
LCM of 408,9452 is 56712.
The greatest common factor of 1488/408,3410/9452 = [GCF of 1488,3410]/[LCM of 408,9452]= 62/56712
Therefore, the GCF of 1488/408,3410/9452 is 62/56712.
To find the highest common factor of 1488,3410, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 1488,3410 is 62.
Lets's calculate GCF of 1488,3410
| 2 | 1488, 3410 |
| 31 | 744, 1705 |
| 24, 55 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 1488,3410 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 1488,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,3410 is 62.
Lets's calculate LCM of 408,9452
| 2 | 408, 9452 |
| 2 | 204, 4726 |
| 17 | 102, 2363 |
| 6, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 6 x 139 = 56712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/56712
Therefore, the GCF of Fractions 1488/408,3410/9452 is 62/56712
Least Common Multiple of 408,9452 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 408,9452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,9452) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(408,9452) x common factors =68 x 1 = 68
LCM(408,9452) = ( 408 × 9452 ) / 68
LCM(408,9452) = 3856416 / 68
LCM(408,9452) = 56712
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FAQs on GCF of Fractions of 1488/408, 3410/9452
1. What is the HCF of 1488,3410?
The HCF of 1488,3410 is 62
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 1488/408, 3410/9452?
Answer: GCF of Numerators as per given numbers 1488/408, 3410/9452 is
GCF of Numerators i.e. for 1488,3410 is 62
LCM of denominators i.e. for 408,9452 is 56712.
Thus, GCF of Fractions is 62/56712.Finally, GCF of Fractions for 1488/408, 3410/9452 is 62/56712.