GCF of 562/577, 573/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 562/577, 573/151 i.e 1/87127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/577, 573/151.
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 562/577,573/151?
Given fractions are 562/577,573/151
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 562/577,573/151, numerators are 562,573
Denominators are 577,151
The GCF of 562,573 is 1 .
LCM of 577,151 is 87127.
The greatest common factor of 562/577,573/151 = [GCF of 562,573]/[LCM of 577,151]= 1/87127
Therefore, the GCF of 562/577,573/151 is 1/87127.
To find the highest common factor of 562,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 562 are 1, 2, 281, 562
The factors of 573 are 1, 3, 191, 573
The HCF of 562,573 is 1.
Lets's calculate GCF of 562,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 562,573 By Matching Biggest Common Factor Method
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 562,573 . The biggest common factor number is the GCF number.
So the greatest common factor 562,573 is 1.
Lets's calculate LCM of 577,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 87127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87127
Therefore, the GCF of Fractions 562/577,573/151 is 1/87127
Least Common Multiple of 577,151 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 577,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,151) x common factors =1 x 1 = 1
LCM(577,151) = ( 577 × 151 ) / 1
LCM(577,151) = 87127 / 1
LCM(577,151) = 87127
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 562/577, 573/151
1. What is the HCF of 562,573?
The HCF of 562,573 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 562/577, 573/151?
Answer: GCF of Numerators as per given numbers 562/577, 573/151 is
GCF of Numerators i.e. for 562,573 is 1
LCM of denominators i.e. for 577,151 is 87127.
Thus, GCF of Fractions is 1/87127.Finally, GCF of Fractions for 562/577, 573/151 is 1/87127.