GCF of 7087/232, 3143/7018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7087/232, 3143/7018 i.e 1/28072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7087/232, 3143/7018.
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 7087/232,3143/7018?
Given fractions are 7087/232,3143/7018
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 7087/232,3143/7018, numerators are 7087,3143
Denominators are 232,7018
The GCF of 7087,3143 is 1 .
LCM of 232,7018 is 28072.
The greatest common factor of 7087/232,3143/7018 = [GCF of 7087,3143]/[LCM of 232,7018]= 1/28072
Therefore, the GCF of 7087/232,3143/7018 is 1/28072.
To find the highest common factor of 7087,3143, we have to find the factors of both numbers and list the highest common factor.
The factors of 7087 are 1, 19, 373, 7087
The factors of 3143 are 1, 7, 449, 3143
The HCF of 7087,3143 is 1.
Lets's calculate GCF of 7087,3143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7087,3143 By Matching Biggest Common Factor Method
Now, list down the factors of 7087
:1,19,373,7087
Now, list down the factors of 3143
:1,7,449,3143
Greatest Common Factor
We found the factors 7087,3143 . The biggest common factor number is the GCF number.
So the greatest common factor 7087,3143 is 1.
Lets's calculate LCM of 232,7018
| 2 | 232, 7018 |
| 29 | 116, 3509 |
| 4, 121 |
∴ So the LCM of the given numbers is 2 x 29 x 4 x 121 = 28072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28072
Therefore, the GCF of Fractions 7087/232,3143/7018 is 1/28072
Least Common Multiple of 232,7018 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 232,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,7018) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(232,7018) x common factors =58 x 1 = 58
LCM(232,7018) = ( 232 × 7018 ) / 58
LCM(232,7018) = 1628176 / 58
LCM(232,7018) = 28072
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FAQs on GCF of Fractions of 7087/232, 3143/7018
1. What is the HCF of 7087,3143?
The HCF of 7087,3143 is 1
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 7087/232, 3143/7018?
Answer: GCF of Numerators as per given numbers 7087/232, 3143/7018 is
GCF of Numerators i.e. for 7087,3143 is 1
LCM of denominators i.e. for 232,7018 is 28072.
Thus, GCF of Fractions is 1/28072.Finally, GCF of Fractions for 7087/232, 3143/7018 is 1/28072.