GCF of 8870/188, 5700/7836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8870/188, 5700/7836 i.e 10/368292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8870/188, 5700/7836.
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 8870/188,5700/7836?
Given fractions are 8870/188,5700/7836
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 8870/188,5700/7836, numerators are 8870,5700
Denominators are 188,7836
The GCF of 8870,5700 is 10 .
LCM of 188,7836 is 368292.
The greatest common factor of 8870/188,5700/7836 = [GCF of 8870,5700]/[LCM of 188,7836]= 10/368292
Therefore, the GCF of 8870/188,5700/7836 is 10/368292.
To find the highest common factor of 8870,5700, we have to find the factors of both numbers and list the highest common factor.
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700
The HCF of 8870,5700 is 10.
Lets's calculate GCF of 8870,5700
| 2 | 8870, 5700 |
| 5 | 4435, 2850 |
| 887, 570 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8870,5700 By Matching Biggest Common Factor Method
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Now, list down the factors of 5700
:1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 8870,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 8870,5700 is 10.
Lets's calculate LCM of 188,7836
| 2 | 188, 7836 |
| 2 | 94, 3918 |
| 47, 1959 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 1959 = 368292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/368292
Therefore, the GCF of Fractions 8870/188,5700/7836 is 10/368292
Least Common Multiple of 188,7836 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 188,7836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,7836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,7836) x common factors =4 x 1 = 4
LCM(188,7836) = ( 188 × 7836 ) / 4
LCM(188,7836) = 1473168 / 4
LCM(188,7836) = 368292
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FAQs on GCF of Fractions of 8870/188, 5700/7836
1. What is the HCF of 8870,5700?
The HCF of 8870,5700 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 8870/188, 5700/7836?
Answer: GCF of Numerators as per given numbers 8870/188, 5700/7836 is
GCF of Numerators i.e. for 8870,5700 is 10
LCM of denominators i.e. for 188,7836 is 368292.
Thus, GCF of Fractions is 10/368292.Finally, GCF of Fractions for 8870/188, 5700/7836 is 10/368292.