GCF of 948/320, 170/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/320, 170/493 i.e 2/157760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/320, 170/493.
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 948/320,170/493?
Given fractions are 948/320,170/493
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 948/320,170/493, numerators are 948,170
Denominators are 320,493
The GCF of 948,170 is 2 .
LCM of 320,493 is 157760.
The greatest common factor of 948/320,170/493 = [GCF of 948,170]/[LCM of 320,493]= 2/157760
Therefore, the GCF of 948/320,170/493 is 2/157760.
To find the highest common factor of 948,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 948,170 is 2.
Lets's calculate GCF of 948,170
| 2 | 948, 170 |
| 474, 85 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 948,170 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 948,170 . The biggest common factor number is the GCF number.
So the greatest common factor 948,170 is 2.
Lets's calculate LCM of 320,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 157760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157760
Therefore, the GCF of Fractions 948/320,170/493 is 2/157760
Least Common Multiple of 320,493 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 320,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,493) x common factors =1 x 1 = 1
LCM(320,493) = ( 320 × 493 ) / 1
LCM(320,493) = 157760 / 1
LCM(320,493) = 157760
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FAQs on GCF of Fractions of 948/320, 170/493
1. What is the HCF of 948,170?
The HCF of 948,170 is 2
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 948/320, 170/493?
Answer: GCF of Numerators as per given numbers 948/320, 170/493 is
GCF of Numerators i.e. for 948,170 is 2
LCM of denominators i.e. for 320,493 is 157760.
Thus, GCF of Fractions is 2/157760.Finally, GCF of Fractions for 948/320, 170/493 is 2/157760.