GCF of 8940/655, 5890/3320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8940/655, 5890/3320 i.e 10/434920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8940/655, 5890/3320.
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 8940/655,5890/3320?
Given fractions are 8940/655,5890/3320
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 8940/655,5890/3320, numerators are 8940,5890
Denominators are 655,3320
The GCF of 8940,5890 is 10 .
LCM of 655,3320 is 434920.
The greatest common factor of 8940/655,5890/3320 = [GCF of 8940,5890]/[LCM of 655,3320]= 10/434920
Therefore, the GCF of 8940/655,5890/3320 is 10/434920.
To find the highest common factor of 8940,5890, we have to find the factors of both numbers and list the highest common factor.
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
The HCF of 8940,5890 is 10.
Lets's calculate GCF of 8940,5890
| 2 | 8940, 5890 |
| 5 | 4470, 2945 |
| 894, 589 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8940,5890 By Matching Biggest Common Factor Method
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Now, list down the factors of 5890
:1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Greatest Common Factor
We found the factors 8940,5890 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,5890 is 10.
Lets's calculate LCM of 655,3320
| 5 | 655, 3320 |
| 131, 664 |
∴ So the LCM of the given numbers is 5 x 131 x 664 = 434920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/434920
Therefore, the GCF of Fractions 8940/655,5890/3320 is 10/434920
Least Common Multiple of 655,3320 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 655,3320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,3320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,3320) x common factors =5 x 1 = 5
LCM(655,3320) = ( 655 × 3320 ) / 5
LCM(655,3320) = 2174600 / 5
LCM(655,3320) = 434920
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FAQs on GCF of Fractions of 8940/655, 5890/3320
1. What is the HCF of 8940,5890?
The HCF of 8940,5890 is 10
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 8940/655, 5890/3320?
Answer: GCF of Numerators as per given numbers 8940/655, 5890/3320 is
GCF of Numerators i.e. for 8940,5890 is 10
LCM of denominators i.e. for 655,3320 is 434920.
Thus, GCF of Fractions is 10/434920.Finally, GCF of Fractions for 8940/655, 5890/3320 is 10/434920.