GCF of 3462/684, 2590/8977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3462/684, 2590/8977 i.e 2/6140268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3462/684, 2590/8977.
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 3462/684,2590/8977?
Given fractions are 3462/684,2590/8977
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 3462/684,2590/8977, numerators are 3462,2590
Denominators are 684,8977
The GCF of 3462,2590 is 2 .
LCM of 684,8977 is 6140268.
The greatest common factor of 3462/684,2590/8977 = [GCF of 3462,2590]/[LCM of 684,8977]= 2/6140268
Therefore, the GCF of 3462/684,2590/8977 is 2/6140268.
To find the highest common factor of 3462,2590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462
The factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590
The HCF of 3462,2590 is 2.
Lets's calculate GCF of 3462,2590
| 2 | 3462, 2590 |
| 1731, 1295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3462,2590 By Matching Biggest Common Factor Method
Now, list down the factors of 3462
:1,2,3,6,577,1154,1731,3462
Now, list down the factors of 2590
:1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors 3462,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,2590 is 2.
Lets's calculate LCM of 684,8977
Given numbers has no common factors except 1. So, there LCM is their product i.e 6140268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6140268
Therefore, the GCF of Fractions 3462/684,2590/8977 is 2/6140268
Least Common Multiple of 684,8977 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 684,8977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,8977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,8977) x common factors =1 x 1 = 1
LCM(684,8977) = ( 684 × 8977 ) / 1
LCM(684,8977) = 6140268 / 1
LCM(684,8977) = 6140268
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FAQs on GCF of Fractions of 3462/684, 2590/8977
1. What is the HCF of 3462,2590?
The HCF of 3462,2590 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 3462/684, 2590/8977?
Answer: GCF of Numerators as per given numbers 3462/684, 2590/8977 is
GCF of Numerators i.e. for 3462,2590 is 2
LCM of denominators i.e. for 684,8977 is 6140268.
Thus, GCF of Fractions is 2/6140268.Finally, GCF of Fractions for 3462/684, 2590/8977 is 2/6140268.