GCF of 4677/646, 5580/5760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4677/646, 5580/5760 i.e 3/1860480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4677/646, 5580/5760.
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 4677/646,5580/5760?
Given fractions are 4677/646,5580/5760
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 4677/646,5580/5760, numerators are 4677,5580
Denominators are 646,5760
The GCF of 4677,5580 is 3 .
LCM of 646,5760 is 1860480.
The greatest common factor of 4677/646,5580/5760 = [GCF of 4677,5580]/[LCM of 646,5760]= 3/1860480
Therefore, the GCF of 4677/646,5580/5760 is 3/1860480.
To find the highest common factor of 4677,5580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4677 are 1, 3, 1559, 4677
The factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580
The HCF of 4677,5580 is 3.
Lets's calculate GCF of 4677,5580
| 3 | 4677, 5580 |
| 1559, 1860 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4677,5580 By Matching Biggest Common Factor Method
Now, list down the factors of 4677
:1,3,1559,4677
Now, list down the factors of 5580
:1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Greatest Common Factor
We found the factors 4677,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 4677,5580 is 3.
Lets's calculate LCM of 646,5760
| 2 | 646, 5760 |
| 323, 2880 |
∴ So the LCM of the given numbers is 2 x 323 x 2880 = 1860480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1860480
Therefore, the GCF of Fractions 4677/646,5580/5760 is 3/1860480
Least Common Multiple of 646,5760 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 646,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,5760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,5760) x common factors =2 x 1 = 2
LCM(646,5760) = ( 646 × 5760 ) / 2
LCM(646,5760) = 3720960 / 2
LCM(646,5760) = 1860480
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FAQs on GCF of Fractions of 4677/646, 5580/5760
1. What is the HCF of 4677,5580?
The HCF of 4677,5580 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 4677/646, 5580/5760?
Answer: GCF of Numerators as per given numbers 4677/646, 5580/5760 is
GCF of Numerators i.e. for 4677,5580 is 3
LCM of denominators i.e. for 646,5760 is 1860480.
Thus, GCF of Fractions is 3/1860480.Finally, GCF of Fractions for 4677/646, 5580/5760 is 3/1860480.