GCF of 7334/146, 8143/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7334/146, 8143/714 i.e 1/52122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7334/146, 8143/714.
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 7334/146,8143/714?
Given fractions are 7334/146,8143/714
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 7334/146,8143/714, numerators are 7334,8143
Denominators are 146,714
The GCF of 7334,8143 is 1 .
LCM of 146,714 is 52122.
The greatest common factor of 7334/146,8143/714 = [GCF of 7334,8143]/[LCM of 146,714]= 1/52122
Therefore, the GCF of 7334/146,8143/714 is 1/52122.
To find the highest common factor of 7334,8143, we have to find the factors of both numbers and list the highest common factor.
The factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334
The factors of 8143 are 1, 17, 479, 8143
The HCF of 7334,8143 is 1.
Lets's calculate GCF of 7334,8143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7334,8143 By Matching Biggest Common Factor Method
Now, list down the factors of 7334
:1,2,19,38,193,386,3667,7334
Now, list down the factors of 8143
:1,17,479,8143
Greatest Common Factor
We found the factors 7334,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,8143 is 1.
Lets's calculate LCM of 146,714
| 2 | 146, 714 |
| 73, 357 |
∴ So the LCM of the given numbers is 2 x 73 x 357 = 52122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52122
Therefore, the GCF of Fractions 7334/146,8143/714 is 1/52122
Least Common Multiple of 146,714 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 146,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,714) x common factors =2 x 1 = 2
LCM(146,714) = ( 146 × 714 ) / 2
LCM(146,714) = 104244 / 2
LCM(146,714) = 52122
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FAQs on GCF of Fractions of 7334/146, 8143/714
1. What is the HCF of 7334,8143?
The HCF of 7334,8143 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 7334/146, 8143/714?
Answer: GCF of Numerators as per given numbers 7334/146, 8143/714 is
GCF of Numerators i.e. for 7334,8143 is 1
LCM of denominators i.e. for 146,714 is 52122.
Thus, GCF of Fractions is 1/52122.Finally, GCF of Fractions for 7334/146, 8143/714 is 1/52122.