GCF of 7066/321, 8264/905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7066/321, 8264/905 i.e 2/290505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7066/321, 8264/905.
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 7066/321,8264/905?
Given fractions are 7066/321,8264/905
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 7066/321,8264/905, numerators are 7066,8264
Denominators are 321,905
The GCF of 7066,8264 is 2 .
LCM of 321,905 is 290505.
The greatest common factor of 7066/321,8264/905 = [GCF of 7066,8264]/[LCM of 321,905]= 2/290505
Therefore, the GCF of 7066/321,8264/905 is 2/290505.
To find the highest common factor of 7066,8264, we have to find the factors of both numbers and list the highest common factor.
The factors of 7066 are 1, 2, 3533, 7066
The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264
The HCF of 7066,8264 is 2.
Lets's calculate GCF of 7066,8264
| 2 | 7066, 8264 |
| 3533, 4132 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7066,8264 By Matching Biggest Common Factor Method
Now, list down the factors of 7066
:1,2,3533,7066
Now, list down the factors of 8264
:1,2,4,8,1033,2066,4132,8264
Greatest Common Factor
We found the factors 7066,8264 . The biggest common factor number is the GCF number.
So the greatest common factor 7066,8264 is 2.
Lets's calculate LCM of 321,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 290505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290505
Therefore, the GCF of Fractions 7066/321,8264/905 is 2/290505
Least Common Multiple of 321,905 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 321,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,905) x common factors =1 x 1 = 1
LCM(321,905) = ( 321 × 905 ) / 1
LCM(321,905) = 290505 / 1
LCM(321,905) = 290505
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FAQs on GCF of Fractions of 7066/321, 8264/905
1. What is the HCF of 7066,8264?
The HCF of 7066,8264 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 7066/321, 8264/905?
Answer: GCF of Numerators as per given numbers 7066/321, 8264/905 is
GCF of Numerators i.e. for 7066,8264 is 2
LCM of denominators i.e. for 321,905 is 290505.
Thus, GCF of Fractions is 2/290505.Finally, GCF of Fractions for 7066/321, 8264/905 is 2/290505.