GCF of 3140/151, 9865/2301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3140/151, 9865/2301 i.e 5/347451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/151, 9865/2301.
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 3140/151,9865/2301?
Given fractions are 3140/151,9865/2301
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 3140/151,9865/2301, numerators are 3140,9865
Denominators are 151,2301
The GCF of 3140,9865 is 5 .
LCM of 151,2301 is 347451.
The greatest common factor of 3140/151,9865/2301 = [GCF of 3140,9865]/[LCM of 151,2301]= 5/347451
Therefore, the GCF of 3140/151,9865/2301 is 5/347451.
To find the highest common factor of 3140,9865, we have to find the factors of both numbers and list the highest common factor.
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The factors of 9865 are 1, 5, 1973, 9865
The HCF of 3140,9865 is 5.
Lets's calculate GCF of 3140,9865
| 5 | 3140, 9865 |
| 628, 1973 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3140,9865 By Matching Biggest Common Factor Method
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Now, list down the factors of 9865
:1,5,1973,9865
Greatest Common Factor
We found the factors 3140,9865 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,9865 is 5.
Lets's calculate LCM of 151,2301
Given numbers has no common factors except 1. So, there LCM is their product i.e 347451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/347451
Therefore, the GCF of Fractions 3140/151,9865/2301 is 5/347451
Least Common Multiple of 151,2301 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 151,2301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,2301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,2301) x common factors =1 x 1 = 1
LCM(151,2301) = ( 151 × 2301 ) / 1
LCM(151,2301) = 347451 / 1
LCM(151,2301) = 347451
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FAQs on GCF of Fractions of 3140/151, 9865/2301
1. What is the HCF of 3140,9865?
The HCF of 3140,9865 is 5
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 3140/151, 9865/2301?
Answer: GCF of Numerators as per given numbers 3140/151, 9865/2301 is
GCF of Numerators i.e. for 3140,9865 is 5
LCM of denominators i.e. for 151,2301 is 347451.
Thus, GCF of Fractions is 5/347451.Finally, GCF of Fractions for 3140/151, 9865/2301 is 5/347451.