GCF of 48/182, 349/469, 562/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/182, 349/469, 562/410 i.e 1/2499770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/182, 349/469, 562/410.
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 48/182,349/469,562/410?
Given fractions are 48/182,349/469,562/410
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 48/182,349/469,562/410, numerators are 48,349,562
Denominators are 182,469,410
The GCF of 48,349,562 is 1 .
LCM of 182,469,410 is 2499770.
The greatest common factor of 48/182,349/469,562/410 = [GCF of 48,349,562]/[LCM of 182,469,410]= 1/2499770
Therefore, the GCF of 48/182,349/469,562/410 is 1/2499770.
To find the highest common factor of 48,349,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 349 are 1, 349
The factors of 562 are 1, 2, 281, 562
The HCF of 48,349,562 is 1.
Lets's calculate GCF of 48,349,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,349,562 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 349
:1,349
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 48,349,562 . The biggest common factor number is the GCF number.
So the greatest common factor 48,349,562 is 1.
Lets's calculate LCM of 182,469,410
| 2 | 182, 469, 410 |
| 7 | 91, 469, 205 |
| 13, 67, 205 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 67 x 205 = 2499770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2499770
Therefore, the GCF of Fractions 48/182,349/469,562/410 is 1/2499770
Least Common Multiple of 182,469,410 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 182,469,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,469,410) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(182,469,410) x common factors =1 x 14 = 14
LCM(182,469,410) = ( 182 × 469 × 410 ) / 14
LCM(182,469,410) = 34996780 / 14
LCM(182,469,410) = 2499770
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FAQs on GCF of Fractions of 48/182, 349/469, 562/410
1. What is the HCF of 48,349,562?
The HCF of 48,349,562 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 48/182, 349/469, 562/410?
Answer: GCF of Numerators as per given numbers 48/182, 349/469, 562/410 is
GCF of Numerators i.e. for 48,349,562 is 1
LCM of denominators i.e. for 182,469,410 is 2499770.
Thus, GCF of Fractions is 1/2499770.Finally, GCF of Fractions for 48/182, 349/469, 562/410 is 1/2499770.