GCF of 596/80, 474/7805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 596/80, 474/7805 i.e 2/124880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/80, 474/7805.
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 596/80,474/7805?
Given fractions are 596/80,474/7805
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 596/80,474/7805, numerators are 596,474
Denominators are 80,7805
The GCF of 596,474 is 2 .
LCM of 80,7805 is 124880.
The greatest common factor of 596/80,474/7805 = [GCF of 596,474]/[LCM of 80,7805]= 2/124880
Therefore, the GCF of 596/80,474/7805 is 2/124880.
To find the highest common factor of 596,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 596 are 1, 2, 4, 149, 298, 596
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 596,474 is 2.
Lets's calculate GCF of 596,474
| 2 | 596, 474 |
| 298, 237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 596,474 By Matching Biggest Common Factor Method
Now, list down the factors of 596
:1,2,4,149,298,596
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 596,474 . The biggest common factor number is the GCF number.
So the greatest common factor 596,474 is 2.
Lets's calculate LCM of 80,7805
| 5 | 80, 7805 |
| 16, 1561 |
∴ So the LCM of the given numbers is 5 x 16 x 1561 = 124880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124880
Therefore, the GCF of Fractions 596/80,474/7805 is 2/124880
Least Common Multiple of 80,7805 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 80,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,7805) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,7805) x common factors =5 x 1 = 5
LCM(80,7805) = ( 80 × 7805 ) / 5
LCM(80,7805) = 624400 / 5
LCM(80,7805) = 124880
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FAQs on GCF of Fractions of 596/80, 474/7805
1. What is the HCF of 596,474?
The HCF of 596,474 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 596/80, 474/7805?
Answer: GCF of Numerators as per given numbers 596/80, 474/7805 is
GCF of Numerators i.e. for 596,474 is 2
LCM of denominators i.e. for 80,7805 is 124880.
Thus, GCF of Fractions is 2/124880.Finally, GCF of Fractions for 596/80, 474/7805 is 2/124880.