GCF of 60/26, 460/31, 196/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/26, 460/31, 196/673 i.e 4/542438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/26, 460/31, 196/673.
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 60/26,460/31,196/673?
Given fractions are 60/26,460/31,196/673
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 60/26,460/31,196/673, numerators are 60,460,196
Denominators are 26,31,673
The GCF of 60,460,196 is 4 .
LCM of 26,31,673 is 542438.
The greatest common factor of 60/26,460/31,196/673 = [GCF of 60,460,196]/[LCM of 26,31,673]= 4/542438
Therefore, the GCF of 60/26,460/31,196/673 is 4/542438.
To find the highest common factor of 60,460,196, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The HCF of 60,460,196 is 4.
Lets's calculate GCF of 60,460,196
| 2 | 60, 460, 196 |
| 2 | 30, 230, 98 |
| 15, 115, 49 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 60,460,196 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 60,460,196 . The biggest common factor number is the GCF number.
So the greatest common factor 60,460,196 is 4.
Lets's calculate LCM of 26,31,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 542438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/542438
Therefore, the GCF of Fractions 60/26,460/31,196/673 is 4/542438
Least Common Multiple of 26,31,673 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 26,31,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,31,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,31,673) x common factors =1 x 1 = 1
LCM(26,31,673) = ( 26 × 31 × 673 ) / 1
LCM(26,31,673) = 542438 / 1
LCM(26,31,673) = 542438
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FAQs on GCF of Fractions of 60/26, 460/31, 196/673
1. What is the HCF of 60,460,196?
The HCF of 60,460,196 is 4
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 60/26, 460/31, 196/673?
Answer: GCF of Numerators as per given numbers 60/26, 460/31, 196/673 is
GCF of Numerators i.e. for 60,460,196 is 4
LCM of denominators i.e. for 26,31,673 is 542438.
Thus, GCF of Fractions is 4/542438.Finally, GCF of Fractions for 60/26, 460/31, 196/673 is 4/542438.