GCF of 6466/700, 9270/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6466/700, 9270/820 i.e 2/28700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6466/700, 9270/820.
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 6466/700,9270/820?
Given fractions are 6466/700,9270/820
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 6466/700,9270/820, numerators are 6466,9270
Denominators are 700,820
The GCF of 6466,9270 is 2 .
LCM of 700,820 is 28700.
The greatest common factor of 6466/700,9270/820 = [GCF of 6466,9270]/[LCM of 700,820]= 2/28700
Therefore, the GCF of 6466/700,9270/820 is 2/28700.
To find the highest common factor of 6466,9270, we have to find the factors of both numbers and list the highest common factor.
The factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The HCF of 6466,9270 is 2.
Lets's calculate GCF of 6466,9270
| 2 | 6466, 9270 |
| 3233, 4635 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6466,9270 By Matching Biggest Common Factor Method
Now, list down the factors of 6466
:1,2,53,61,106,122,3233,6466
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 6466,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 6466,9270 is 2.
Lets's calculate LCM of 700,820
| 2 | 700, 820 |
| 2 | 350, 410 |
| 5 | 175, 205 |
| 35, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 35 x 41 = 28700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28700
Therefore, the GCF of Fractions 6466/700,9270/820 is 2/28700
Least Common Multiple of 700,820 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 700,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,820) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(700,820) x common factors =20 x 1 = 20
LCM(700,820) = ( 700 × 820 ) / 20
LCM(700,820) = 574000 / 20
LCM(700,820) = 28700
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FAQs on GCF of Fractions of 6466/700, 9270/820
1. What is the HCF of 6466,9270?
The HCF of 6466,9270 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 6466/700, 9270/820?
Answer: GCF of Numerators as per given numbers 6466/700, 9270/820 is
GCF of Numerators i.e. for 6466,9270 is 2
LCM of denominators i.e. for 700,820 is 28700.
Thus, GCF of Fractions is 2/28700.Finally, GCF of Fractions for 6466/700, 9270/820 is 2/28700.