GCF of 48/181, 70/212, 542/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/181, 70/212, 542/818 i.e 2/15694148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/181, 70/212, 542/818.
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 48/181,70/212,542/818?
Given fractions are 48/181,70/212,542/818
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 48/181,70/212,542/818, numerators are 48,70,542
Denominators are 181,212,818
The GCF of 48,70,542 is 2 .
LCM of 181,212,818 is 15694148.
The greatest common factor of 48/181,70/212,542/818 = [GCF of 48,70,542]/[LCM of 181,212,818]= 2/15694148
Therefore, the GCF of 48/181,70/212,542/818 is 2/15694148.
To find the highest common factor of 48,70,542, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 542 are 1, 2, 271, 542
The HCF of 48,70,542 is 2.
Lets's calculate GCF of 48,70,542
| 2 | 48, 70, 542 |
| 24, 35, 271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 48,70,542 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 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 48,70,542 . The biggest common factor number is the GCF number.
So the greatest common factor 48,70,542 is 2.
Lets's calculate LCM of 181,212,818
| 2 | 181, 212, 818 |
| 181, 106, 409 |
∴ So the LCM of the given numbers is 2 x 181 x 106 x 409 = 15694148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15694148
Therefore, the GCF of Fractions 48/181,70/212,542/818 is 2/15694148
Least Common Multiple of 181,212,818 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 181,212,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,212,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(181,212,818) x common factors =1 x 2 = 2
LCM(181,212,818) = ( 181 × 212 × 818 ) / 2
LCM(181,212,818) = 31388296 / 2
LCM(181,212,818) = 15694148
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FAQs on GCF of Fractions of 48/181, 70/212, 542/818
1. What is the HCF of 48,70,542?
The HCF of 48,70,542 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 48/181, 70/212, 542/818?
Answer: GCF of Numerators as per given numbers 48/181, 70/212, 542/818 is
GCF of Numerators i.e. for 48,70,542 is 2
LCM of denominators i.e. for 181,212,818 is 15694148.
Thus, GCF of Fractions is 2/15694148.Finally, GCF of Fractions for 48/181, 70/212, 542/818 is 2/15694148.