GCF of 2310/451, 3140/3680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2310/451, 3140/3680 i.e 10/1659680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2310/451, 3140/3680.
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 2310/451,3140/3680?
Given fractions are 2310/451,3140/3680
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 2310/451,3140/3680, numerators are 2310,3140
Denominators are 451,3680
The GCF of 2310,3140 is 10 .
LCM of 451,3680 is 1659680.
The greatest common factor of 2310/451,3140/3680 = [GCF of 2310,3140]/[LCM of 451,3680]= 10/1659680
Therefore, the GCF of 2310/451,3140/3680 is 10/1659680.
To find the highest common factor of 2310,3140, we have to find the factors of both numbers and list the highest common factor.
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The HCF of 2310,3140 is 10.
Lets's calculate GCF of 2310,3140
| 2 | 2310, 3140 |
| 5 | 1155, 1570 |
| 231, 314 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2310,3140 By Matching Biggest Common Factor Method
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Greatest Common Factor
We found the factors 2310,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 2310,3140 is 10.
Lets's calculate LCM of 451,3680
Given numbers has no common factors except 1. So, there LCM is their product i.e 1659680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1659680
Therefore, the GCF of Fractions 2310/451,3140/3680 is 10/1659680
Least Common Multiple of 451,3680 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 451,3680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,3680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,3680) x common factors =1 x 1 = 1
LCM(451,3680) = ( 451 × 3680 ) / 1
LCM(451,3680) = 1659680 / 1
LCM(451,3680) = 1659680
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FAQs on GCF of Fractions of 2310/451, 3140/3680
1. What is the HCF of 2310,3140?
The HCF of 2310,3140 is 10
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 2310/451, 3140/3680?
Answer: GCF of Numerators as per given numbers 2310/451, 3140/3680 is
GCF of Numerators i.e. for 2310,3140 is 10
LCM of denominators i.e. for 451,3680 is 1659680.
Thus, GCF of Fractions is 10/1659680.Finally, GCF of Fractions for 2310/451, 3140/3680 is 10/1659680.