GCF of 2586/707, 7890/4424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2586/707, 7890/4424 i.e 6/446824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2586/707, 7890/4424.
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 2586/707,7890/4424?
Given fractions are 2586/707,7890/4424
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 2586/707,7890/4424, numerators are 2586,7890
Denominators are 707,4424
The GCF of 2586,7890 is 6 .
LCM of 707,4424 is 446824.
The greatest common factor of 2586/707,7890/4424 = [GCF of 2586,7890]/[LCM of 707,4424]= 6/446824
Therefore, the GCF of 2586/707,7890/4424 is 6/446824.
To find the highest common factor of 2586,7890, we have to find the factors of both numbers and list the highest common factor.
The factors of 2586 are 1, 2, 3, 6, 431, 862, 1293, 2586
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The HCF of 2586,7890 is 6.
Lets's calculate GCF of 2586,7890
| 2 | 2586, 7890 |
| 3 | 1293, 3945 |
| 431, 1315 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2586,7890 By Matching Biggest Common Factor Method
Now, list down the factors of 2586
:1,2,3,6,431,862,1293,2586
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 2586,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 2586,7890 is 6.
Lets's calculate LCM of 707,4424
| 7 | 707, 4424 |
| 101, 632 |
∴ So the LCM of the given numbers is 7 x 101 x 632 = 446824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/446824
Therefore, the GCF of Fractions 2586/707,7890/4424 is 6/446824
Least Common Multiple of 707,4424 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 707,4424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,4424) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,4424) x common factors =7 x 1 = 7
LCM(707,4424) = ( 707 × 4424 ) / 7
LCM(707,4424) = 3127768 / 7
LCM(707,4424) = 446824
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FAQs on GCF of Fractions of 2586/707, 7890/4424
1. What is the HCF of 2586,7890?
The HCF of 2586,7890 is 6
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 2586/707, 7890/4424?
Answer: GCF of Numerators as per given numbers 2586/707, 7890/4424 is
GCF of Numerators i.e. for 2586,7890 is 6
LCM of denominators i.e. for 707,4424 is 446824.
Thus, GCF of Fractions is 6/446824.Finally, GCF of Fractions for 2586/707, 7890/4424 is 6/446824.