GCF of 50/128, 498/640, 715/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/128, 498/640, 715/666 i.e 1/213120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/128, 498/640, 715/666.
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 50/128,498/640,715/666?
Given fractions are 50/128,498/640,715/666
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 50/128,498/640,715/666, numerators are 50,498,715
Denominators are 128,640,666
The GCF of 50,498,715 is 1 .
LCM of 128,640,666 is 213120.
The greatest common factor of 50/128,498/640,715/666 = [GCF of 50,498,715]/[LCM of 128,640,666]= 1/213120
Therefore, the GCF of 50/128,498/640,715/666 is 1/213120.
To find the highest common factor of 50,498,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 50,498,715 is 1.
Lets's calculate GCF of 50,498,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 50,498,715 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 50,498,715 . The biggest common factor number is the GCF number.
So the greatest common factor 50,498,715 is 1.
Lets's calculate LCM of 128,640,666
| 2 | 128, 640, 666 |
| 2 | 64, 320, 333 |
| 2 | 32, 160, 333 |
| 2 | 16, 80, 333 |
| 2 | 8, 40, 333 |
| 2 | 4, 20, 333 |
| 2 | 2, 10, 333 |
| 1, 5, 333 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1 x 5 x 333 = 213120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213120
Therefore, the GCF of Fractions 50/128,498/640,715/666 is 1/213120
Least Common Multiple of 128,640,666 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 128,640,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,640,666) = 2
common factors(in case of two or more numbers have common factors) = 128
GCF(128,640,666) x common factors =2 x 128 = 256
LCM(128,640,666) = ( 128 × 640 × 666 ) / 256
LCM(128,640,666) = 54558720 / 256
LCM(128,640,666) = 213120
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FAQs on GCF of Fractions of 50/128, 498/640, 715/666
1. What is the HCF of 50,498,715?
The HCF of 50,498,715 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 50/128, 498/640, 715/666?
Answer: GCF of Numerators as per given numbers 50/128, 498/640, 715/666 is
GCF of Numerators i.e. for 50,498,715 is 1
LCM of denominators i.e. for 128,640,666 is 213120.
Thus, GCF of Fractions is 1/213120.Finally, GCF of Fractions for 50/128, 498/640, 715/666 is 1/213120.