GCF of 577/42, 597/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 577/42, 597/427 i.e 1/2562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 577/42, 597/427.
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 577/42,597/427?
Given fractions are 577/42,597/427
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 577/42,597/427, numerators are 577,597
Denominators are 42,427
The GCF of 577,597 is 1 .
LCM of 42,427 is 2562.
The greatest common factor of 577/42,597/427 = [GCF of 577,597]/[LCM of 42,427]= 1/2562
Therefore, the GCF of 577/42,597/427 is 1/2562.
To find the highest common factor of 577,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 577 are 1, 577
The factors of 597 are 1, 3, 199, 597
The HCF of 577,597 is 1.
Lets's calculate GCF of 577,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 577,597 By Matching Biggest Common Factor Method
Now, list down the factors of 577
:1,577
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 577,597 . The biggest common factor number is the GCF number.
So the greatest common factor 577,597 is 1.
Lets's calculate LCM of 42,427
| 7 | 42, 427 |
| 6, 61 |
∴ So the LCM of the given numbers is 7 x 6 x 61 = 2562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2562
Therefore, the GCF of Fractions 577/42,597/427 is 1/2562
Least Common Multiple of 42,427 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 42,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(42,427) x common factors =7 x 1 = 7
LCM(42,427) = ( 42 × 427 ) / 7
LCM(42,427) = 17934 / 7
LCM(42,427) = 2562
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FAQs on GCF of Fractions of 577/42, 597/427
1. What is the HCF of 577,597?
The HCF of 577,597 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 577/42, 597/427?
Answer: GCF of Numerators as per given numbers 577/42, 597/427 is
GCF of Numerators i.e. for 577,597 is 1
LCM of denominators i.e. for 42,427 is 2562.
Thus, GCF of Fractions is 1/2562.Finally, GCF of Fractions for 577/42, 597/427 is 1/2562.