GCF of 349/50, 542/8055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 349/50, 542/8055 i.e 1/80550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/50, 542/8055.
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 349/50,542/8055?
Given fractions are 349/50,542/8055
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 349/50,542/8055, numerators are 349,542
Denominators are 50,8055
The GCF of 349,542 is 1 .
LCM of 50,8055 is 80550.
The greatest common factor of 349/50,542/8055 = [GCF of 349,542]/[LCM of 50,8055]= 1/80550
Therefore, the GCF of 349/50,542/8055 is 1/80550.
To find the highest common factor of 349,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 349 are 1, 349
The factors of 542 are 1, 2, 271, 542
The HCF of 349,542 is 1.
Lets's calculate GCF of 349,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 349,542 By Matching Biggest Common Factor Method
Now, list down the factors of 349
:1,349
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 349,542 . The biggest common factor number is the GCF number.
So the greatest common factor 349,542 is 1.
Lets's calculate LCM of 50,8055
| 5 | 50, 8055 |
| 10, 1611 |
∴ So the LCM of the given numbers is 5 x 10 x 1611 = 80550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80550
Therefore, the GCF of Fractions 349/50,542/8055 is 1/80550
Least Common Multiple of 50,8055 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 50,8055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,8055) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(50,8055) x common factors =5 x 1 = 5
LCM(50,8055) = ( 50 × 8055 ) / 5
LCM(50,8055) = 402750 / 5
LCM(50,8055) = 80550
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FAQs on GCF of Fractions of 349/50, 542/8055
1. What is the HCF of 349,542?
The HCF of 349,542 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 349/50, 542/8055?
Answer: GCF of Numerators as per given numbers 349/50, 542/8055 is
GCF of Numerators i.e. for 349,542 is 1
LCM of denominators i.e. for 50,8055 is 80550.
Thus, GCF of Fractions is 1/80550.Finally, GCF of Fractions for 349/50, 542/8055 is 1/80550.