GCF of 4857/822, 5442/5759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4857/822, 5442/5759 i.e 3/4733898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4857/822, 5442/5759.
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 4857/822,5442/5759?
Given fractions are 4857/822,5442/5759
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 4857/822,5442/5759, numerators are 4857,5442
Denominators are 822,5759
The GCF of 4857,5442 is 3 .
LCM of 822,5759 is 4733898.
The greatest common factor of 4857/822,5442/5759 = [GCF of 4857,5442]/[LCM of 822,5759]= 3/4733898
Therefore, the GCF of 4857/822,5442/5759 is 3/4733898.
To find the highest common factor of 4857,5442, we have to find the factors of both numbers and list the highest common factor.
The factors of 4857 are 1, 3, 1619, 4857
The factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442
The HCF of 4857,5442 is 3.
Lets's calculate GCF of 4857,5442
| 3 | 4857, 5442 |
| 1619, 1814 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4857,5442 By Matching Biggest Common Factor Method
Now, list down the factors of 4857
:1,3,1619,4857
Now, list down the factors of 5442
:1,2,3,6,907,1814,2721,5442
Greatest Common Factor
We found the factors 4857,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 4857,5442 is 3.
Lets's calculate LCM of 822,5759
Given numbers has no common factors except 1. So, there LCM is their product i.e 4733898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4733898
Therefore, the GCF of Fractions 4857/822,5442/5759 is 3/4733898
Least Common Multiple of 822,5759 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 822,5759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,5759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,5759) x common factors =1 x 1 = 1
LCM(822,5759) = ( 822 × 5759 ) / 1
LCM(822,5759) = 4733898 / 1
LCM(822,5759) = 4733898
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FAQs on GCF of Fractions of 4857/822, 5442/5759
1. What is the HCF of 4857,5442?
The HCF of 4857,5442 is 3
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 4857/822, 5442/5759?
Answer: GCF of Numerators as per given numbers 4857/822, 5442/5759 is
GCF of Numerators i.e. for 4857,5442 is 3
LCM of denominators i.e. for 822,5759 is 4733898.
Thus, GCF of Fractions is 3/4733898.Finally, GCF of Fractions for 4857/822, 5442/5759 is 3/4733898.