GCF of 542/124, 720/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 542/124, 720/718 i.e 2/44516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/124, 720/718.
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 542/124,720/718?
Given fractions are 542/124,720/718
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 542/124,720/718, numerators are 542,720
Denominators are 124,718
The GCF of 542,720 is 2 .
LCM of 124,718 is 44516.
The greatest common factor of 542/124,720/718 = [GCF of 542,720]/[LCM of 124,718]= 2/44516
Therefore, the GCF of 542/124,720/718 is 2/44516.
To find the highest common factor of 542,720, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The HCF of 542,720 is 2.
Lets's calculate GCF of 542,720
| 2 | 542, 720 |
| 271, 360 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 542,720 By Matching Biggest Common Factor Method
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 542,720 . The biggest common factor number is the GCF number.
So the greatest common factor 542,720 is 2.
Lets's calculate LCM of 124,718
| 2 | 124, 718 |
| 62, 359 |
∴ So the LCM of the given numbers is 2 x 62 x 359 = 44516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44516
Therefore, the GCF of Fractions 542/124,720/718 is 2/44516
Least Common Multiple of 124,718 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 124,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,718) x common factors =2 x 1 = 2
LCM(124,718) = ( 124 × 718 ) / 2
LCM(124,718) = 89032 / 2
LCM(124,718) = 44516
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FAQs on GCF of Fractions of 542/124, 720/718
1. What is the HCF of 542,720?
The HCF of 542,720 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 542/124, 720/718?
Answer: GCF of Numerators as per given numbers 542/124, 720/718 is
GCF of Numerators i.e. for 542,720 is 2
LCM of denominators i.e. for 124,718 is 44516.
Thus, GCF of Fractions is 2/44516.Finally, GCF of Fractions for 542/124, 720/718 is 2/44516.