GCF of 20/149, 74/130, 597/232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/149, 74/130, 597/232 i.e 1/2246920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/149, 74/130, 597/232.
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 20/149,74/130,597/232?
Given fractions are 20/149,74/130,597/232
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 20/149,74/130,597/232, numerators are 20,74,597
Denominators are 149,130,232
The GCF of 20,74,597 is 1 .
LCM of 149,130,232 is 2246920.
The greatest common factor of 20/149,74/130,597/232 = [GCF of 20,74,597]/[LCM of 149,130,232]= 1/2246920
Therefore, the GCF of 20/149,74/130,597/232 is 1/2246920.
To find the highest common factor of 20,74,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 74 are 1, 2, 37, 74
The factors of 597 are 1, 3, 199, 597
The HCF of 20,74,597 is 1.
Lets's calculate GCF of 20,74,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,74,597 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 20,74,597 . The biggest common factor number is the GCF number.
So the greatest common factor 20,74,597 is 1.
Lets's calculate LCM of 149,130,232
| 2 | 149, 130, 232 |
| 149, 65, 116 |
∴ So the LCM of the given numbers is 2 x 149 x 65 x 116 = 2246920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2246920
Therefore, the GCF of Fractions 20/149,74/130,597/232 is 1/2246920
Least Common Multiple of 149,130,232 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 149,130,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,130,232) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(149,130,232) x common factors =1 x 2 = 2
LCM(149,130,232) = ( 149 × 130 × 232 ) / 2
LCM(149,130,232) = 4493840 / 2
LCM(149,130,232) = 2246920
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FAQs on GCF of Fractions of 20/149, 74/130, 597/232
1. What is the HCF of 20,74,597?
The HCF of 20,74,597 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 20/149, 74/130, 597/232?
Answer: GCF of Numerators as per given numbers 20/149, 74/130, 597/232 is
GCF of Numerators i.e. for 20,74,597 is 1
LCM of denominators i.e. for 149,130,232 is 2246920.
Thus, GCF of Fractions is 1/2246920.Finally, GCF of Fractions for 20/149, 74/130, 597/232 is 1/2246920.