GCF of 358/29, 922/16, 565/30
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 358/29, 922/16, 565/30 i.e 1/6960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/29, 922/16, 565/30.
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 358/29,922/16,565/30?
Given fractions are 358/29,922/16,565/30
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 358/29,922/16,565/30, numerators are 358,922,565
Denominators are 29,16,30
The GCF of 358,922,565 is 1 .
LCM of 29,16,30 is 6960.
The greatest common factor of 358/29,922/16,565/30 = [GCF of 358,922,565]/[LCM of 29,16,30]= 1/6960
Therefore, the GCF of 358/29,922/16,565/30 is 1/6960.
To find the highest common factor of 358,922,565, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 922 are 1, 2, 461, 922
The factors of 565 are 1, 5, 113, 565
The HCF of 358,922,565 is 1.
Lets's calculate GCF of 358,922,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 358,922,565 By Matching Biggest Common Factor Method
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 565
:1,5,113,565
Greatest Common Factor
We found the factors 358,922,565 . The biggest common factor number is the GCF number.
So the greatest common factor 358,922,565 is 1.
Lets's calculate LCM of 29,16,30
| 2 | 29, 16, 30 |
| 29, 8, 15 |
∴ So the LCM of the given numbers is 2 x 29 x 8 x 15 = 6960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6960
Therefore, the GCF of Fractions 358/29,922/16,565/30 is 1/6960
Least Common Multiple of 29,16,30 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 29,16,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,16,30) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,16,30) x common factors =1 x 2 = 2
LCM(29,16,30) = ( 29 × 16 × 30 ) / 2
LCM(29,16,30) = 13920 / 2
LCM(29,16,30) = 6960
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FAQs on GCF of Fractions of 358/29, 922/16, 565/30
1. What is the HCF of 358,922,565?
The HCF of 358,922,565 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 358/29, 922/16, 565/30?
Answer: GCF of Numerators as per given numbers 358/29, 922/16, 565/30 is
GCF of Numerators i.e. for 358,922,565 is 1
LCM of denominators i.e. for 29,16,30 is 6960.
Thus, GCF of Fractions is 1/6960.Finally, GCF of Fractions for 358/29, 922/16, 565/30 is 1/6960.