GCF of 1270/143, 8142/6841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1270/143, 8142/6841 i.e 2/978263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1270/143, 8142/6841.
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 1270/143,8142/6841?
Given fractions are 1270/143,8142/6841
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 1270/143,8142/6841, numerators are 1270,8142
Denominators are 143,6841
The GCF of 1270,8142 is 2 .
LCM of 143,6841 is 978263.
The greatest common factor of 1270/143,8142/6841 = [GCF of 1270,8142]/[LCM of 143,6841]= 2/978263
Therefore, the GCF of 1270/143,8142/6841 is 2/978263.
To find the highest common factor of 1270,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 1270,8142 is 2.
Lets's calculate GCF of 1270,8142
| 2 | 1270, 8142 |
| 635, 4071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1270,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 1270
:1,2,5,10,127,254,635,1270
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 1270,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,8142 is 2.
Lets's calculate LCM of 143,6841
Given numbers has no common factors except 1. So, there LCM is their product i.e 978263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/978263
Therefore, the GCF of Fractions 1270/143,8142/6841 is 2/978263
Least Common Multiple of 143,6841 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 143,6841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,6841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,6841) x common factors =1 x 1 = 1
LCM(143,6841) = ( 143 × 6841 ) / 1
LCM(143,6841) = 978263 / 1
LCM(143,6841) = 978263
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FAQs on GCF of Fractions of 1270/143, 8142/6841
1. What is the HCF of 1270,8142?
The HCF of 1270,8142 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 1270/143, 8142/6841?
Answer: GCF of Numerators as per given numbers 1270/143, 8142/6841 is
GCF of Numerators i.e. for 1270,8142 is 2
LCM of denominators i.e. for 143,6841 is 978263.
Thus, GCF of Fractions is 2/978263.Finally, GCF of Fractions for 1270/143, 8142/6841 is 2/978263.