GCF of 3266/722, 4586/7777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3266/722, 4586/7777 i.e 2/5614994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3266/722, 4586/7777.
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 3266/722,4586/7777?
Given fractions are 3266/722,4586/7777
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 3266/722,4586/7777, numerators are 3266,4586
Denominators are 722,7777
The GCF of 3266,4586 is 2 .
LCM of 722,7777 is 5614994.
The greatest common factor of 3266/722,4586/7777 = [GCF of 3266,4586]/[LCM of 722,7777]= 2/5614994
Therefore, the GCF of 3266/722,4586/7777 is 2/5614994.
To find the highest common factor of 3266,4586, we have to find the factors of both numbers and list the highest common factor.
The factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266
The factors of 4586 are 1, 2, 2293, 4586
The HCF of 3266,4586 is 2.
Lets's calculate GCF of 3266,4586
| 2 | 3266, 4586 |
| 1633, 2293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3266,4586 By Matching Biggest Common Factor Method
Now, list down the factors of 3266
:1,2,23,46,71,142,1633,3266
Now, list down the factors of 4586
:1,2,2293,4586
Greatest Common Factor
We found the factors 3266,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 3266,4586 is 2.
Lets's calculate LCM of 722,7777
Given numbers has no common factors except 1. So, there LCM is their product i.e 5614994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5614994
Therefore, the GCF of Fractions 3266/722,4586/7777 is 2/5614994
Least Common Multiple of 722,7777 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 722,7777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7777) x common factors =1 x 1 = 1
LCM(722,7777) = ( 722 × 7777 ) / 1
LCM(722,7777) = 5614994 / 1
LCM(722,7777) = 5614994
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FAQs on GCF of Fractions of 3266/722, 4586/7777
1. What is the HCF of 3266,4586?
The HCF of 3266,4586 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 3266/722, 4586/7777?
Answer: GCF of Numerators as per given numbers 3266/722, 4586/7777 is
GCF of Numerators i.e. for 3266,4586 is 2
LCM of denominators i.e. for 722,7777 is 5614994.
Thus, GCF of Fractions is 2/5614994.Finally, GCF of Fractions for 3266/722, 4586/7777 is 2/5614994.