GCF of 8580/111, 3943/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8580/111, 3943/228 i.e 1/8436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8580/111, 3943/228.
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 8580/111,3943/228?
Given fractions are 8580/111,3943/228
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 8580/111,3943/228, numerators are 8580,3943
Denominators are 111,228
The GCF of 8580,3943 is 1 .
LCM of 111,228 is 8436.
The greatest common factor of 8580/111,3943/228 = [GCF of 8580,3943]/[LCM of 111,228]= 1/8436
Therefore, the GCF of 8580/111,3943/228 is 1/8436.
To find the highest common factor of 8580,3943, we have to find the factors of both numbers and list the highest common factor.
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The factors of 3943 are 1, 3943
The HCF of 8580,3943 is 1.
Lets's calculate GCF of 8580,3943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8580,3943 By Matching Biggest Common Factor Method
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Now, list down the factors of 3943
:1,3943
Greatest Common Factor
We found the factors 8580,3943 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,3943 is 1.
Lets's calculate LCM of 111,228
| 3 | 111, 228 |
| 37, 76 |
∴ So the LCM of the given numbers is 3 x 37 x 76 = 8436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8436
Therefore, the GCF of Fractions 8580/111,3943/228 is 1/8436
Least Common Multiple of 111,228 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 111,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,228) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,228) x common factors =3 x 1 = 3
LCM(111,228) = ( 111 × 228 ) / 3
LCM(111,228) = 25308 / 3
LCM(111,228) = 8436
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FAQs on GCF of Fractions of 8580/111, 3943/228
1. What is the HCF of 8580,3943?
The HCF of 8580,3943 is 1
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 8580/111, 3943/228?
Answer: GCF of Numerators as per given numbers 8580/111, 3943/228 is
GCF of Numerators i.e. for 8580,3943 is 1
LCM of denominators i.e. for 111,228 is 8436.
Thus, GCF of Fractions is 1/8436.Finally, GCF of Fractions for 8580/111, 3943/228 is 1/8436.