GCF of 898/414, 267/262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/414, 267/262 i.e 1/54234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/414, 267/262.
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 898/414,267/262?
Given fractions are 898/414,267/262
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 898/414,267/262, numerators are 898,267
Denominators are 414,262
The GCF of 898,267 is 1 .
LCM of 414,262 is 54234.
The greatest common factor of 898/414,267/262 = [GCF of 898,267]/[LCM of 414,262]= 1/54234
Therefore, the GCF of 898/414,267/262 is 1/54234.
To find the highest common factor of 898,267, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 267 are 1, 3, 89, 267
The HCF of 898,267 is 1.
Lets's calculate GCF of 898,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 898,267 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 267
:1,3,89,267
Greatest Common Factor
We found the factors 898,267 . The biggest common factor number is the GCF number.
So the greatest common factor 898,267 is 1.
Lets's calculate LCM of 414,262
| 2 | 414, 262 |
| 207, 131 |
∴ So the LCM of the given numbers is 2 x 207 x 131 = 54234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54234
Therefore, the GCF of Fractions 898/414,267/262 is 1/54234
Least Common Multiple of 414,262 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 414,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,262) x common factors =2 x 1 = 2
LCM(414,262) = ( 414 × 262 ) / 2
LCM(414,262) = 108468 / 2
LCM(414,262) = 54234
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FAQs on GCF of Fractions of 898/414, 267/262
1. What is the HCF of 898,267?
The HCF of 898,267 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 898/414, 267/262?
Answer: GCF of Numerators as per given numbers 898/414, 267/262 is
GCF of Numerators i.e. for 898,267 is 1
LCM of denominators i.e. for 414,262 is 54234.
Thus, GCF of Fractions is 1/54234.Finally, GCF of Fractions for 898/414, 267/262 is 1/54234.