GCF of 977/74, 595/34, 958/30
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 977/74, 595/34, 958/30 i.e 1/18870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/74, 595/34, 958/30.
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 977/74,595/34,958/30?
Given fractions are 977/74,595/34,958/30
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 977/74,595/34,958/30, numerators are 977,595,958
Denominators are 74,34,30
The GCF of 977,595,958 is 1 .
LCM of 74,34,30 is 18870.
The greatest common factor of 977/74,595/34,958/30 = [GCF of 977,595,958]/[LCM of 74,34,30]= 1/18870
Therefore, the GCF of 977/74,595/34,958/30 is 1/18870.
To find the highest common factor of 977,595,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 977 are 1, 977
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 958 are 1, 2, 479, 958
The HCF of 977,595,958 is 1.
Lets's calculate GCF of 977,595,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 977,595,958 By Matching Biggest Common Factor Method
Now, list down the factors of 977
:1,977
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 977,595,958 . The biggest common factor number is the GCF number.
So the greatest common factor 977,595,958 is 1.
Lets's calculate LCM of 74,34,30
| 2 | 74, 34, 30 |
| 37, 17, 15 |
∴ So the LCM of the given numbers is 2 x 37 x 17 x 15 = 18870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18870
Therefore, the GCF of Fractions 977/74,595/34,958/30 is 1/18870
Least Common Multiple of 74,34,30 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 74,34,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,34,30) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,34,30) x common factors =2 x 2 = 4
LCM(74,34,30) = ( 74 × 34 × 30 ) / 4
LCM(74,34,30) = 75480 / 4
LCM(74,34,30) = 18870
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FAQs on GCF of Fractions of 977/74, 595/34, 958/30
1. What is the HCF of 977,595,958?
The HCF of 977,595,958 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 977/74, 595/34, 958/30?
Answer: GCF of Numerators as per given numbers 977/74, 595/34, 958/30 is
GCF of Numerators i.e. for 977,595,958 is 1
LCM of denominators i.e. for 74,34,30 is 18870.
Thus, GCF of Fractions is 1/18870.Finally, GCF of Fractions for 977/74, 595/34, 958/30 is 1/18870.