GCF of 599/70, 958/35, 766/16
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 599/70, 958/35, 766/16 i.e 1/560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/70, 958/35, 766/16.
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 599/70,958/35,766/16?
Given fractions are 599/70,958/35,766/16
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 599/70,958/35,766/16, numerators are 599,958,766
Denominators are 70,35,16
The GCF of 599,958,766 is 1 .
LCM of 70,35,16 is 560.
The greatest common factor of 599/70,958/35,766/16 = [GCF of 599,958,766]/[LCM of 70,35,16]= 1/560
Therefore, the GCF of 599/70,958/35,766/16 is 1/560.
To find the highest common factor of 599,958,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 599 are 1, 599
The factors of 958 are 1, 2, 479, 958
The factors of 766 are 1, 2, 383, 766
The HCF of 599,958,766 is 1.
Lets's calculate GCF of 599,958,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 599,958,766 By Matching Biggest Common Factor Method
Now, list down the factors of 599
:1,599
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 599,958,766 . The biggest common factor number is the GCF number.
So the greatest common factor 599,958,766 is 1.
Lets's calculate LCM of 70,35,16
| 2 | 70, 35, 16 |
| 5 | 35, 35, 8 |
| 7 | 7, 7, 8 |
| 1, 1, 8 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 8 = 560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560
Therefore, the GCF of Fractions 599/70,958/35,766/16 is 1/560
Least Common Multiple of 70,35,16 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 70,35,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,35,16) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(70,35,16) x common factors =1 x 70 = 70
LCM(70,35,16) = ( 70 × 35 × 16 ) / 70
LCM(70,35,16) = 39200 / 70
LCM(70,35,16) = 560
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FAQs on GCF of Fractions of 599/70, 958/35, 766/16
1. What is the HCF of 599,958,766?
The HCF of 599,958,766 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 599/70, 958/35, 766/16?
Answer: GCF of Numerators as per given numbers 599/70, 958/35, 766/16 is
GCF of Numerators i.e. for 599,958,766 is 1
LCM of denominators i.e. for 70,35,16 is 560.
Thus, GCF of Fractions is 1/560.Finally, GCF of Fractions for 599/70, 958/35, 766/16 is 1/560.