GCF of 1397/458, 7105/8714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1397/458, 7105/8714 i.e 1/1995506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1397/458, 7105/8714.
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 1397/458,7105/8714?
Given fractions are 1397/458,7105/8714
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 1397/458,7105/8714, numerators are 1397,7105
Denominators are 458,8714
The GCF of 1397,7105 is 1 .
LCM of 458,8714 is 1995506.
The greatest common factor of 1397/458,7105/8714 = [GCF of 1397,7105]/[LCM of 458,8714]= 1/1995506
Therefore, the GCF of 1397/458,7105/8714 is 1/1995506.
To find the highest common factor of 1397,7105, we have to find the factors of both numbers and list the highest common factor.
The factors of 1397 are 1, 11, 127, 1397
The factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105
The HCF of 1397,7105 is 1.
Lets's calculate GCF of 1397,7105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1397,7105 By Matching Biggest Common Factor Method
Now, list down the factors of 1397
:1,11,127,1397
Now, list down the factors of 7105
:1,5,7,29,35,49,145,203,245,1015,1421,7105
Greatest Common Factor
We found the factors 1397,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 1397,7105 is 1.
Lets's calculate LCM of 458,8714
| 2 | 458, 8714 |
| 229, 4357 |
∴ So the LCM of the given numbers is 2 x 229 x 4357 = 1995506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1995506
Therefore, the GCF of Fractions 1397/458,7105/8714 is 1/1995506
Least Common Multiple of 458,8714 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 458,8714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,8714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,8714) x common factors =2 x 1 = 2
LCM(458,8714) = ( 458 × 8714 ) / 2
LCM(458,8714) = 3991012 / 2
LCM(458,8714) = 1995506
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FAQs on GCF of Fractions of 1397/458, 7105/8714
1. What is the HCF of 1397,7105?
The HCF of 1397,7105 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 1397/458, 7105/8714?
Answer: GCF of Numerators as per given numbers 1397/458, 7105/8714 is
GCF of Numerators i.e. for 1397,7105 is 1
LCM of denominators i.e. for 458,8714 is 1995506.
Thus, GCF of Fractions is 1/1995506.Finally, GCF of Fractions for 1397/458, 7105/8714 is 1/1995506.