GCF of 4772/840, 5748/5546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4772/840, 5748/5546 i.e 4/2329320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4772/840, 5748/5546.
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 4772/840,5748/5546?
Given fractions are 4772/840,5748/5546
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 4772/840,5748/5546, numerators are 4772,5748
Denominators are 840,5546
The GCF of 4772,5748 is 4 .
LCM of 840,5546 is 2329320.
The greatest common factor of 4772/840,5748/5546 = [GCF of 4772,5748]/[LCM of 840,5546]= 4/2329320
Therefore, the GCF of 4772/840,5748/5546 is 4/2329320.
To find the highest common factor of 4772,5748, we have to find the factors of both numbers and list the highest common factor.
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The HCF of 4772,5748 is 4.
Lets's calculate GCF of 4772,5748
| 2 | 4772, 5748 |
| 2 | 2386, 2874 |
| 1193, 1437 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4772,5748 By Matching Biggest Common Factor Method
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 4772,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,5748 is 4.
Lets's calculate LCM of 840,5546
| 2 | 840, 5546 |
| 420, 2773 |
∴ So the LCM of the given numbers is 2 x 420 x 2773 = 2329320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2329320
Therefore, the GCF of Fractions 4772/840,5748/5546 is 4/2329320
Least Common Multiple of 840,5546 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 840,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,5546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,5546) x common factors =2 x 1 = 2
LCM(840,5546) = ( 840 × 5546 ) / 2
LCM(840,5546) = 4658640 / 2
LCM(840,5546) = 2329320
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FAQs on GCF of Fractions of 4772/840, 5748/5546
1. What is the HCF of 4772,5748?
The HCF of 4772,5748 is 4
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 4772/840, 5748/5546?
Answer: GCF of Numerators as per given numbers 4772/840, 5748/5546 is
GCF of Numerators i.e. for 4772,5748 is 4
LCM of denominators i.e. for 840,5546 is 2329320.
Thus, GCF of Fractions is 4/2329320.Finally, GCF of Fractions for 4772/840, 5748/5546 is 4/2329320.