GCF of 542/10, 846/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 542/10, 846/582 i.e 2/2910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/10, 846/582.
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 542/10,846/582?
Given fractions are 542/10,846/582
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 542/10,846/582, numerators are 542,846
Denominators are 10,582
The GCF of 542,846 is 2 .
LCM of 10,582 is 2910.
The greatest common factor of 542/10,846/582 = [GCF of 542,846]/[LCM of 10,582]= 2/2910
Therefore, the GCF of 542/10,846/582 is 2/2910.
To find the highest common factor of 542,846, 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 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 542,846 is 2.
Lets's calculate GCF of 542,846
| 2 | 542, 846 |
| 271, 423 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 542,846 By Matching Biggest Common Factor Method
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 542,846 . The biggest common factor number is the GCF number.
So the greatest common factor 542,846 is 2.
Lets's calculate LCM of 10,582
| 2 | 10, 582 |
| 5, 291 |
∴ So the LCM of the given numbers is 2 x 5 x 291 = 2910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2910
Therefore, the GCF of Fractions 542/10,846/582 is 2/2910
Least Common Multiple of 10,582 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 10,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,582) x common factors =2 x 1 = 2
LCM(10,582) = ( 10 × 582 ) / 2
LCM(10,582) = 5820 / 2
LCM(10,582) = 2910
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FAQs on GCF of Fractions of 542/10, 846/582
1. What is the HCF of 542,846?
The HCF of 542,846 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 542/10, 846/582?
Answer: GCF of Numerators as per given numbers 542/10, 846/582 is
GCF of Numerators i.e. for 542,846 is 2
LCM of denominators i.e. for 10,582 is 2910.
Thus, GCF of Fractions is 2/2910.Finally, GCF of Fractions for 542/10, 846/582 is 2/2910.