GCF of 2785/650, 6490/4224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2785/650, 6490/4224 i.e 5/1372800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2785/650, 6490/4224.
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 2785/650,6490/4224?
Given fractions are 2785/650,6490/4224
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 2785/650,6490/4224, numerators are 2785,6490
Denominators are 650,4224
The GCF of 2785,6490 is 5 .
LCM of 650,4224 is 1372800.
The greatest common factor of 2785/650,6490/4224 = [GCF of 2785,6490]/[LCM of 650,4224]= 5/1372800
Therefore, the GCF of 2785/650,6490/4224 is 5/1372800.
To find the highest common factor of 2785,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 2785 are 1, 5, 557, 2785
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 2785,6490 is 5.
Lets's calculate GCF of 2785,6490
| 5 | 2785, 6490 |
| 557, 1298 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2785,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 2785
:1,5,557,2785
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 2785,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,6490 is 5.
Lets's calculate LCM of 650,4224
| 2 | 650, 4224 |
| 325, 2112 |
∴ So the LCM of the given numbers is 2 x 325 x 2112 = 1372800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1372800
Therefore, the GCF of Fractions 2785/650,6490/4224 is 5/1372800
Least Common Multiple of 650,4224 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 650,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,4224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,4224) x common factors =2 x 1 = 2
LCM(650,4224) = ( 650 × 4224 ) / 2
LCM(650,4224) = 2745600 / 2
LCM(650,4224) = 1372800
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FAQs on GCF of Fractions of 2785/650, 6490/4224
1. What is the HCF of 2785,6490?
The HCF of 2785,6490 is 5
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 2785/650, 6490/4224?
Answer: GCF of Numerators as per given numbers 2785/650, 6490/4224 is
GCF of Numerators i.e. for 2785,6490 is 5
LCM of denominators i.e. for 650,4224 is 1372800.
Thus, GCF of Fractions is 5/1372800.Finally, GCF of Fractions for 2785/650, 6490/4224 is 5/1372800.