GCF of 7830/708, 4860/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7830/708, 4860/879 i.e 270/207444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7830/708, 4860/879.
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 7830/708,4860/879?
Given fractions are 7830/708,4860/879
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 7830/708,4860/879, numerators are 7830,4860
Denominators are 708,879
The GCF of 7830,4860 is 270 .
LCM of 708,879 is 207444.
The greatest common factor of 7830/708,4860/879 = [GCF of 7830,4860]/[LCM of 708,879]= 270/207444
Therefore, the GCF of 7830/708,4860/879 is 270/207444.
To find the highest common factor of 7830,4860, we have to find the factors of both numbers and list the highest common factor.
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860
The HCF of 7830,4860 is 270.
Lets's calculate GCF of 7830,4860
| 2 | 7830, 4860 |
| 3 | 3915, 2430 |
| 3 | 1305, 810 |
| 3 | 435, 270 |
| 5 | 145, 90 |
| 29, 18 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 5 = 270
Greatest Common Factor of 7830,4860 By Matching Biggest Common Factor Method
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Now, list down the factors of 4860
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860
Greatest Common Factor
We found the factors 7830,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 7830,4860 is 270.
Lets's calculate LCM of 708,879
| 3 | 708, 879 |
| 236, 293 |
∴ So the LCM of the given numbers is 3 x 236 x 293 = 207444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 270/207444
Therefore, the GCF of Fractions 7830/708,4860/879 is 270/207444
Least Common Multiple of 708,879 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 708,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,879) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,879) x common factors =3 x 1 = 3
LCM(708,879) = ( 708 × 879 ) / 3
LCM(708,879) = 622332 / 3
LCM(708,879) = 207444
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FAQs on GCF of Fractions of 7830/708, 4860/879
1. What is the HCF of 7830,4860?
The HCF of 7830,4860 is 270
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 7830/708, 4860/879?
Answer: GCF of Numerators as per given numbers 7830/708, 4860/879 is
GCF of Numerators i.e. for 7830,4860 is 270
LCM of denominators i.e. for 708,879 is 207444.
Thus, GCF of Fractions is 270/207444.Finally, GCF of Fractions for 7830/708, 4860/879 is 270/207444.