GCF of 7186/414, 5257/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7186/414, 5257/658 i.e 1/136206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7186/414, 5257/658.
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 7186/414,5257/658?
Given fractions are 7186/414,5257/658
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 7186/414,5257/658, numerators are 7186,5257
Denominators are 414,658
The GCF of 7186,5257 is 1 .
LCM of 414,658 is 136206.
The greatest common factor of 7186/414,5257/658 = [GCF of 7186,5257]/[LCM of 414,658]= 1/136206
Therefore, the GCF of 7186/414,5257/658 is 1/136206.
To find the highest common factor of 7186,5257, we have to find the factors of both numbers and list the highest common factor.
The factors of 7186 are 1, 2, 3593, 7186
The factors of 5257 are 1, 7, 751, 5257
The HCF of 7186,5257 is 1.
Lets's calculate GCF of 7186,5257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7186,5257 By Matching Biggest Common Factor Method
Now, list down the factors of 7186
:1,2,3593,7186
Now, list down the factors of 5257
:1,7,751,5257
Greatest Common Factor
We found the factors 7186,5257 . The biggest common factor number is the GCF number.
So the greatest common factor 7186,5257 is 1.
Lets's calculate LCM of 414,658
| 2 | 414, 658 |
| 207, 329 |
∴ So the LCM of the given numbers is 2 x 207 x 329 = 136206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136206
Therefore, the GCF of Fractions 7186/414,5257/658 is 1/136206
Least Common Multiple of 414,658 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 414,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,658) x common factors =2 x 1 = 2
LCM(414,658) = ( 414 × 658 ) / 2
LCM(414,658) = 272412 / 2
LCM(414,658) = 136206
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FAQs on GCF of Fractions of 7186/414, 5257/658
1. What is the HCF of 7186,5257?
The HCF of 7186,5257 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 7186/414, 5257/658?
Answer: GCF of Numerators as per given numbers 7186/414, 5257/658 is
GCF of Numerators i.e. for 7186,5257 is 1
LCM of denominators i.e. for 414,658 is 136206.
Thus, GCF of Fractions is 1/136206.Finally, GCF of Fractions for 7186/414, 5257/658 is 1/136206.