GCF of 4632/858, 8210/6990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4632/858, 8210/6990 i.e 2/999570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4632/858, 8210/6990.
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 4632/858,8210/6990?
Given fractions are 4632/858,8210/6990
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 4632/858,8210/6990, numerators are 4632,8210
Denominators are 858,6990
The GCF of 4632,8210 is 2 .
LCM of 858,6990 is 999570.
The greatest common factor of 4632/858,8210/6990 = [GCF of 4632,8210]/[LCM of 858,6990]= 2/999570
Therefore, the GCF of 4632/858,8210/6990 is 2/999570.
To find the highest common factor of 4632,8210, we have to find the factors of both numbers and list the highest common factor.
The factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The HCF of 4632,8210 is 2.
Lets's calculate GCF of 4632,8210
| 2 | 4632, 8210 |
| 2316, 4105 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4632,8210 By Matching Biggest Common Factor Method
Now, list down the factors of 4632
:1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 4632,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 4632,8210 is 2.
Lets's calculate LCM of 858,6990
| 2 | 858, 6990 |
| 3 | 429, 3495 |
| 143, 1165 |
∴ So the LCM of the given numbers is 2 x 3 x 143 x 1165 = 999570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/999570
Therefore, the GCF of Fractions 4632/858,8210/6990 is 2/999570
Least Common Multiple of 858,6990 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 858,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,6990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(858,6990) x common factors =6 x 1 = 6
LCM(858,6990) = ( 858 × 6990 ) / 6
LCM(858,6990) = 5997420 / 6
LCM(858,6990) = 999570
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FAQs on GCF of Fractions of 4632/858, 8210/6990
1. What is the HCF of 4632,8210?
The HCF of 4632,8210 is 2
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 4632/858, 8210/6990?
Answer: GCF of Numerators as per given numbers 4632/858, 8210/6990 is
GCF of Numerators i.e. for 4632,8210 is 2
LCM of denominators i.e. for 858,6990 is 999570.
Thus, GCF of Fractions is 2/999570.Finally, GCF of Fractions for 4632/858, 8210/6990 is 2/999570.