GCF of 410/761, 474/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/761, 474/571 i.e 2/434531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/761, 474/571.
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 410/761,474/571?
Given fractions are 410/761,474/571
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 410/761,474/571, numerators are 410,474
Denominators are 761,571
The GCF of 410,474 is 2 .
LCM of 761,571 is 434531.
The greatest common factor of 410/761,474/571 = [GCF of 410,474]/[LCM of 761,571]= 2/434531
Therefore, the GCF of 410/761,474/571 is 2/434531.
To find the highest common factor of 410,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 410,474 is 2.
Lets's calculate GCF of 410,474
| 2 | 410, 474 |
| 205, 237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 410,474 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 410,474 . The biggest common factor number is the GCF number.
So the greatest common factor 410,474 is 2.
Lets's calculate LCM of 761,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 434531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434531
Therefore, the GCF of Fractions 410/761,474/571 is 2/434531
Least Common Multiple of 761,571 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 761,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,571) x common factors =1 x 1 = 1
LCM(761,571) = ( 761 × 571 ) / 1
LCM(761,571) = 434531 / 1
LCM(761,571) = 434531
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FAQs on GCF of Fractions of 410/761, 474/571
1. What is the HCF of 410,474?
The HCF of 410,474 is 2
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 410/761, 474/571?
Answer: GCF of Numerators as per given numbers 410/761, 474/571 is
GCF of Numerators i.e. for 410,474 is 2
LCM of denominators i.e. for 761,571 is 434531.
Thus, GCF of Fractions is 2/434531.Finally, GCF of Fractions for 410/761, 474/571 is 2/434531.