GCF of 6/58, 71/67, 21/177, 330/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/58, 71/67, 21/177, 330/735 i.e 1/168516390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/58, 71/67, 21/177, 330/735.
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 6/58,71/67,21/177,330/735?
Given fractions are 6/58,71/67,21/177,330/735
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 6/58,71/67,21/177,330/735, numerators are 6,71,21,330
Denominators are 58,67,177,735
The GCF of 6,71,21,330 is 1 .
LCM of 58,67,177,735 is 168516390.
The greatest common factor of 6/58,71/67,21/177,330/735 = [GCF of 6,71,21,330]/[LCM of 58,67,177,735]= 1/168516390
Therefore, the GCF of 6/58,71/67,21/177,330/735 is 1/168516390.
To find the highest common factor of 6,71,21,330, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 71 are 1, 71
The factors of 21 are 1, 3, 7, 21
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The HCF of 6,71,21,330 is 1.
Lets's calculate GCF of 6,71,21,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6,71,21,330 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 71
:1,71
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 6,71,21,330 . The biggest common factor number is the GCF number.
So the greatest common factor 6,71,21,330 is 1.
Lets's calculate LCM of 58,67,177,735
| 3 | 58, 67, 177, 735 |
| 58, 67, 59, 245 |
∴ So the LCM of the given numbers is 3 x 58 x 67 x 59 x 245 = 168516390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168516390
Therefore, the GCF of Fractions 6/58,71/67,21/177,330/735 is 1/168516390
Least Common Multiple of 58,67,177,735 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 58,67,177,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,67,177,735) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(58,67,177,735) x common factors =1 x 3 = 3
LCM(58,67,177,735) = ( 58 × 67 × 177 × 735 ) / 3
LCM(58,67,177,735) = 505549170 / 3
LCM(58,67,177,735) = 168516390
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/58, 71/67, 21/177, 330/735
1. What is the HCF of 6,71,21,330?
The HCF of 6,71,21,330 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 6/58, 71/67, 21/177, 330/735?
Answer: GCF of Numerators as per given numbers 6/58, 71/67, 21/177, 330/735 is
GCF of Numerators i.e. for 6,71,21,330 is 1
LCM of denominators i.e. for 58,67,177,735 is 168516390.
Thus, GCF of Fractions is 1/168516390.Finally, GCF of Fractions for 6/58, 71/67, 21/177, 330/735 is 1/168516390.