GCF of 497/307, 780/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 497/307, 780/575 i.e 1/176525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/307, 780/575.
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 497/307,780/575?
Given fractions are 497/307,780/575
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 497/307,780/575, numerators are 497,780
Denominators are 307,575
The GCF of 497,780 is 1 .
LCM of 307,575 is 176525.
The greatest common factor of 497/307,780/575 = [GCF of 497,780]/[LCM of 307,575]= 1/176525
Therefore, the GCF of 497/307,780/575 is 1/176525.
To find the highest common factor of 497,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 497,780 is 1.
Lets's calculate GCF of 497,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 497,780 By Matching Biggest Common Factor Method
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 497,780 . The biggest common factor number is the GCF number.
So the greatest common factor 497,780 is 1.
Lets's calculate LCM of 307,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 176525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176525
Therefore, the GCF of Fractions 497/307,780/575 is 1/176525
Least Common Multiple of 307,575 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 307,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,575) x common factors =1 x 1 = 1
LCM(307,575) = ( 307 × 575 ) / 1
LCM(307,575) = 176525 / 1
LCM(307,575) = 176525
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FAQs on GCF of Fractions of 497/307, 780/575
1. What is the HCF of 497,780?
The HCF of 497,780 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 497/307, 780/575?
Answer: GCF of Numerators as per given numbers 497/307, 780/575 is
GCF of Numerators i.e. for 497,780 is 1
LCM of denominators i.e. for 307,575 is 176525.
Thus, GCF of Fractions is 1/176525.Finally, GCF of Fractions for 497/307, 780/575 is 1/176525.