GCF of 1482/970, 5228/3436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1482/970, 5228/3436 i.e 2/1666460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1482/970, 5228/3436.
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 1482/970,5228/3436?
Given fractions are 1482/970,5228/3436
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 1482/970,5228/3436, numerators are 1482,5228
Denominators are 970,3436
The GCF of 1482,5228 is 2 .
LCM of 970,3436 is 1666460.
The greatest common factor of 1482/970,5228/3436 = [GCF of 1482,5228]/[LCM of 970,3436]= 2/1666460
Therefore, the GCF of 1482/970,5228/3436 is 2/1666460.
To find the highest common factor of 1482,5228, we have to find the factors of both numbers and list the highest common factor.
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482
The factors of 5228 are 1, 2, 4, 1307, 2614, 5228
The HCF of 1482,5228 is 2.
Lets's calculate GCF of 1482,5228
| 2 | 1482, 5228 |
| 741, 2614 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1482,5228 By Matching Biggest Common Factor Method
Now, list down the factors of 1482
:1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Now, list down the factors of 5228
:1,2,4,1307,2614,5228
Greatest Common Factor
We found the factors 1482,5228 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,5228 is 2.
Lets's calculate LCM of 970,3436
| 2 | 970, 3436 |
| 485, 1718 |
∴ So the LCM of the given numbers is 2 x 485 x 1718 = 1666460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1666460
Therefore, the GCF of Fractions 1482/970,5228/3436 is 2/1666460
Least Common Multiple of 970,3436 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 970,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3436) x common factors =2 x 1 = 2
LCM(970,3436) = ( 970 × 3436 ) / 2
LCM(970,3436) = 3332920 / 2
LCM(970,3436) = 1666460
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FAQs on GCF of Fractions of 1482/970, 5228/3436
1. What is the HCF of 1482,5228?
The HCF of 1482,5228 is 2
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 1482/970, 5228/3436?
Answer: GCF of Numerators as per given numbers 1482/970, 5228/3436 is
GCF of Numerators i.e. for 1482,5228 is 2
LCM of denominators i.e. for 970,3436 is 1666460.
Thus, GCF of Fractions is 2/1666460.Finally, GCF of Fractions for 1482/970, 5228/3436 is 2/1666460.