GCF of 177/64, 590/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 177/64, 590/741 i.e 59/47424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/64, 590/741.
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 177/64,590/741?
Given fractions are 177/64,590/741
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 177/64,590/741, numerators are 177,590
Denominators are 64,741
The GCF of 177,590 is 59 .
LCM of 64,741 is 47424.
The greatest common factor of 177/64,590/741 = [GCF of 177,590]/[LCM of 64,741]= 59/47424
Therefore, the GCF of 177/64,590/741 is 59/47424.
To find the highest common factor of 177,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 177 are 1, 3, 59, 177
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 177,590 is 59.
Lets's calculate GCF of 177,590
| 59 | 177, 590 |
| 3, 10 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 177,590 By Matching Biggest Common Factor Method
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 177,590 . The biggest common factor number is the GCF number.
So the greatest common factor 177,590 is 59.
Lets's calculate LCM of 64,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 47424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/47424
Therefore, the GCF of Fractions 177/64,590/741 is 59/47424
Least Common Multiple of 64,741 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 64,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,741) x common factors =1 x 1 = 1
LCM(64,741) = ( 64 × 741 ) / 1
LCM(64,741) = 47424 / 1
LCM(64,741) = 47424
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FAQs on GCF of Fractions of 177/64, 590/741
1. What is the HCF of 177,590?
The HCF of 177,590 is 59
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 177/64, 590/741?
Answer: GCF of Numerators as per given numbers 177/64, 590/741 is
GCF of Numerators i.e. for 177,590 is 59
LCM of denominators i.e. for 64,741 is 47424.
Thus, GCF of Fractions is 59/47424.Finally, GCF of Fractions for 177/64, 590/741 is 59/47424.