GCF of 86/371, 63/294, 258/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/371, 63/294, 258/694 i.e 1/5406954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/371, 63/294, 258/694.
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 86/371,63/294,258/694?
Given fractions are 86/371,63/294,258/694
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 86/371,63/294,258/694, numerators are 86,63,258
Denominators are 371,294,694
The GCF of 86,63,258 is 1 .
LCM of 371,294,694 is 5406954.
The greatest common factor of 86/371,63/294,258/694 = [GCF of 86,63,258]/[LCM of 371,294,694]= 1/5406954
Therefore, the GCF of 86/371,63/294,258/694 is 1/5406954.
To find the highest common factor of 86,63,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 86,63,258 is 1.
Lets's calculate GCF of 86,63,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,63,258 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 86,63,258 . The biggest common factor number is the GCF number.
So the greatest common factor 86,63,258 is 1.
Lets's calculate LCM of 371,294,694
| 2 | 371, 294, 694 |
| 7 | 371, 147, 347 |
| 53, 21, 347 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 21 x 347 = 5406954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5406954
Therefore, the GCF of Fractions 86/371,63/294,258/694 is 1/5406954
Least Common Multiple of 371,294,694 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 371,294,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,294,694) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(371,294,694) x common factors =1 x 14 = 14
LCM(371,294,694) = ( 371 × 294 × 694 ) / 14
LCM(371,294,694) = 75697356 / 14
LCM(371,294,694) = 5406954
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FAQs on GCF of Fractions of 86/371, 63/294, 258/694
1. What is the HCF of 86,63,258?
The HCF of 86,63,258 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 86/371, 63/294, 258/694?
Answer: GCF of Numerators as per given numbers 86/371, 63/294, 258/694 is
GCF of Numerators i.e. for 86,63,258 is 1
LCM of denominators i.e. for 371,294,694 is 5406954.
Thus, GCF of Fractions is 1/5406954.Finally, GCF of Fractions for 86/371, 63/294, 258/694 is 1/5406954.