GCF of 4188/319, 8840/5564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4188/319, 8840/5564 i.e 4/1774916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4188/319, 8840/5564.
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 4188/319,8840/5564?
Given fractions are 4188/319,8840/5564
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 4188/319,8840/5564, numerators are 4188,8840
Denominators are 319,5564
The GCF of 4188,8840 is 4 .
LCM of 319,5564 is 1774916.
The greatest common factor of 4188/319,8840/5564 = [GCF of 4188,8840]/[LCM of 319,5564]= 4/1774916
Therefore, the GCF of 4188/319,8840/5564 is 4/1774916.
To find the highest common factor of 4188,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 4188,8840 is 4.
Lets's calculate GCF of 4188,8840
| 2 | 4188, 8840 |
| 2 | 2094, 4420 |
| 1047, 2210 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4188,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 4188
:1,2,3,4,6,12,349,698,1047,1396,2094,4188
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 4188,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 4188,8840 is 4.
Lets's calculate LCM of 319,5564
Given numbers has no common factors except 1. So, there LCM is their product i.e 1774916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1774916
Therefore, the GCF of Fractions 4188/319,8840/5564 is 4/1774916
Least Common Multiple of 319,5564 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 319,5564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,5564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,5564) x common factors =1 x 1 = 1
LCM(319,5564) = ( 319 × 5564 ) / 1
LCM(319,5564) = 1774916 / 1
LCM(319,5564) = 1774916
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FAQs on GCF of Fractions of 4188/319, 8840/5564
1. What is the HCF of 4188,8840?
The HCF of 4188,8840 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 4188/319, 8840/5564?
Answer: GCF of Numerators as per given numbers 4188/319, 8840/5564 is
GCF of Numerators i.e. for 4188,8840 is 4
LCM of denominators i.e. for 319,5564 is 1774916.
Thus, GCF of Fractions is 4/1774916.Finally, GCF of Fractions for 4188/319, 8840/5564 is 4/1774916.