GCF of 3220/262, 6461/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3220/262, 6461/8299 i.e 7/2174338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3220/262, 6461/8299.
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 3220/262,6461/8299?
Given fractions are 3220/262,6461/8299
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 3220/262,6461/8299, numerators are 3220,6461
Denominators are 262,8299
The GCF of 3220,6461 is 7 .
LCM of 262,8299 is 2174338.
The greatest common factor of 3220/262,6461/8299 = [GCF of 3220,6461]/[LCM of 262,8299]= 7/2174338
Therefore, the GCF of 3220/262,6461/8299 is 7/2174338.
To find the highest common factor of 3220,6461, we have to find the factors of both numbers and list the highest common factor.
The factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220
The factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The HCF of 3220,6461 is 7.
Lets's calculate GCF of 3220,6461
| 7 | 3220, 6461 |
| 460, 923 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3220,6461 By Matching Biggest Common Factor Method
Now, list down the factors of 3220
:1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
Greatest Common Factor
We found the factors 3220,6461 . The biggest common factor number is the GCF number.
So the greatest common factor 3220,6461 is 7.
Lets's calculate LCM of 262,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 2174338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2174338
Therefore, the GCF of Fractions 3220/262,6461/8299 is 7/2174338
Least Common Multiple of 262,8299 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 262,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,8299) x common factors =1 x 1 = 1
LCM(262,8299) = ( 262 × 8299 ) / 1
LCM(262,8299) = 2174338 / 1
LCM(262,8299) = 2174338
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FAQs on GCF of Fractions of 3220/262, 6461/8299
1. What is the HCF of 3220,6461?
The HCF of 3220,6461 is 7
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 3220/262, 6461/8299?
Answer: GCF of Numerators as per given numbers 3220/262, 6461/8299 is
GCF of Numerators i.e. for 3220,6461 is 7
LCM of denominators i.e. for 262,8299 is 2174338.
Thus, GCF of Fractions is 7/2174338.Finally, GCF of Fractions for 3220/262, 6461/8299 is 7/2174338.