GCF of 3116/225, 8120/1645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3116/225, 8120/1645 i.e 4/74025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3116/225, 8120/1645.
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 3116/225,8120/1645?
Given fractions are 3116/225,8120/1645
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 3116/225,8120/1645, numerators are 3116,8120
Denominators are 225,1645
The GCF of 3116,8120 is 4 .
LCM of 225,1645 is 74025.
The greatest common factor of 3116/225,8120/1645 = [GCF of 3116,8120]/[LCM of 225,1645]= 4/74025
Therefore, the GCF of 3116/225,8120/1645 is 4/74025.
To find the highest common factor of 3116,8120, we have to find the factors of both numbers and list the highest common factor.
The factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116
The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
The HCF of 3116,8120 is 4.
Lets's calculate GCF of 3116,8120
| 2 | 3116, 8120 |
| 2 | 1558, 4060 |
| 779, 2030 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3116,8120 By Matching Biggest Common Factor Method
Now, list down the factors of 3116
:1,2,4,19,38,41,76,82,164,779,1558,3116
Now, list down the factors of 8120
:1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120
Greatest Common Factor
We found the factors 3116,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 3116,8120 is 4.
Lets's calculate LCM of 225,1645
| 5 | 225, 1645 |
| 45, 329 |
∴ So the LCM of the given numbers is 5 x 45 x 329 = 74025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74025
Therefore, the GCF of Fractions 3116/225,8120/1645 is 4/74025
Least Common Multiple of 225,1645 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 225,1645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,1645) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(225,1645) x common factors =5 x 1 = 5
LCM(225,1645) = ( 225 × 1645 ) / 5
LCM(225,1645) = 370125 / 5
LCM(225,1645) = 74025
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FAQs on GCF of Fractions of 3116/225, 8120/1645
1. What is the HCF of 3116,8120?
The HCF of 3116,8120 is 4
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 3116/225, 8120/1645?
Answer: GCF of Numerators as per given numbers 3116/225, 8120/1645 is
GCF of Numerators i.e. for 3116,8120 is 4
LCM of denominators i.e. for 225,1645 is 74025.
Thus, GCF of Fractions is 4/74025.Finally, GCF of Fractions for 3116/225, 8120/1645 is 4/74025.