GCF of 3940/965, 2620/4265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3940/965, 2620/4265 i.e 20/823145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3940/965, 2620/4265.
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 3940/965,2620/4265?
Given fractions are 3940/965,2620/4265
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 3940/965,2620/4265, numerators are 3940,2620
Denominators are 965,4265
The GCF of 3940,2620 is 20 .
LCM of 965,4265 is 823145.
The greatest common factor of 3940/965,2620/4265 = [GCF of 3940,2620]/[LCM of 965,4265]= 20/823145
Therefore, the GCF of 3940/965,2620/4265 is 20/823145.
To find the highest common factor of 3940,2620, we have to find the factors of both numbers and list the highest common factor.
The factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940
The factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620
The HCF of 3940,2620 is 20.
Lets's calculate GCF of 3940,2620
| 2 | 3940, 2620 |
| 2 | 1970, 1310 |
| 5 | 985, 655 |
| 197, 131 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3940,2620 By Matching Biggest Common Factor Method
Now, list down the factors of 3940
:1,2,4,5,10,20,197,394,788,985,1970,3940
Now, list down the factors of 2620
:1,2,4,5,10,20,131,262,524,655,1310,2620
Greatest Common Factor
We found the factors 3940,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 3940,2620 is 20.
Lets's calculate LCM of 965,4265
| 5 | 965, 4265 |
| 193, 853 |
∴ So the LCM of the given numbers is 5 x 193 x 853 = 823145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/823145
Therefore, the GCF of Fractions 3940/965,2620/4265 is 20/823145
Least Common Multiple of 965,4265 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 965,4265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,4265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,4265) x common factors =5 x 1 = 5
LCM(965,4265) = ( 965 × 4265 ) / 5
LCM(965,4265) = 4115725 / 5
LCM(965,4265) = 823145
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FAQs on GCF of Fractions of 3940/965, 2620/4265
1. What is the HCF of 3940,2620?
The HCF of 3940,2620 is 20
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 3940/965, 2620/4265?
Answer: GCF of Numerators as per given numbers 3940/965, 2620/4265 is
GCF of Numerators i.e. for 3940,2620 is 20
LCM of denominators i.e. for 965,4265 is 823145.
Thus, GCF of Fractions is 20/823145.Finally, GCF of Fractions for 3940/965, 2620/4265 is 20/823145.