GCF of 540/707, 706/553, 830/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 540/707, 706/553, 830/558 i.e 2/31165974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 540/707, 706/553, 830/558.
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 540/707,706/553,830/558?
Given fractions are 540/707,706/553,830/558
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 540/707,706/553,830/558, numerators are 540,706,830
Denominators are 707,553,558
The GCF of 540,706,830 is 2 .
LCM of 707,553,558 is 31165974.
The greatest common factor of 540/707,706/553,830/558 = [GCF of 540,706,830]/[LCM of 707,553,558]= 2/31165974
Therefore, the GCF of 540/707,706/553,830/558 is 2/31165974.
To find the highest common factor of 540,706,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 706 are 1, 2, 353, 706
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 540,706,830 is 2.
Lets's calculate GCF of 540,706,830
| 2 | 540, 706, 830 |
| 270, 353, 415 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 540,706,830 By Matching Biggest Common Factor Method
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 540,706,830 . The biggest common factor number is the GCF number.
So the greatest common factor 540,706,830 is 2.
Lets's calculate LCM of 707,553,558
| 7 | 707, 553, 558 |
| 101, 79, 558 |
∴ So the LCM of the given numbers is 7 x 101 x 79 x 558 = 31165974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31165974
Therefore, the GCF of Fractions 540/707,706/553,830/558 is 2/31165974
Least Common Multiple of 707,553,558 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 707,553,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,553,558) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(707,553,558) x common factors =1 x 7 = 7
LCM(707,553,558) = ( 707 × 553 × 558 ) / 7
LCM(707,553,558) = 218161818 / 7
LCM(707,553,558) = 31165974
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FAQs on GCF of Fractions of 540/707, 706/553, 830/558
1. What is the HCF of 540,706,830?
The HCF of 540,706,830 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 540/707, 706/553, 830/558?
Answer: GCF of Numerators as per given numbers 540/707, 706/553, 830/558 is
GCF of Numerators i.e. for 540,706,830 is 2
LCM of denominators i.e. for 707,553,558 is 31165974.
Thus, GCF of Fractions is 2/31165974.Finally, GCF of Fractions for 540/707, 706/553, 830/558 is 2/31165974.