GCF of 758/76, 426/58, 723/17
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/76, 426/58, 723/17 i.e 1/37468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/76, 426/58, 723/17.
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 758/76,426/58,723/17?
Given fractions are 758/76,426/58,723/17
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 758/76,426/58,723/17, numerators are 758,426,723
Denominators are 76,58,17
The GCF of 758,426,723 is 1 .
LCM of 76,58,17 is 37468.
The greatest common factor of 758/76,426/58,723/17 = [GCF of 758,426,723]/[LCM of 76,58,17]= 1/37468
Therefore, the GCF of 758/76,426/58,723/17 is 1/37468.
To find the highest common factor of 758,426,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The factors of 723 are 1, 3, 241, 723
The HCF of 758,426,723 is 1.
Lets's calculate GCF of 758,426,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,426,723 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 758,426,723 . The biggest common factor number is the GCF number.
So the greatest common factor 758,426,723 is 1.
Lets's calculate LCM of 76,58,17
| 2 | 76, 58, 17 |
| 38, 29, 17 |
∴ So the LCM of the given numbers is 2 x 38 x 29 x 17 = 37468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37468
Therefore, the GCF of Fractions 758/76,426/58,723/17 is 1/37468
Least Common Multiple of 76,58,17 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 76,58,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,58,17) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,58,17) x common factors =1 x 2 = 2
LCM(76,58,17) = ( 76 × 58 × 17 ) / 2
LCM(76,58,17) = 74936 / 2
LCM(76,58,17) = 37468
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FAQs on GCF of Fractions of 758/76, 426/58, 723/17
1. What is the HCF of 758,426,723?
The HCF of 758,426,723 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 758/76, 426/58, 723/17?
Answer: GCF of Numerators as per given numbers 758/76, 426/58, 723/17 is
GCF of Numerators i.e. for 758,426,723 is 1
LCM of denominators i.e. for 76,58,17 is 37468.
Thus, GCF of Fractions is 1/37468.Finally, GCF of Fractions for 758/76, 426/58, 723/17 is 1/37468.