GCF of 8929/474, 3013/7730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8929/474, 3013/7730 i.e 1/1832010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8929/474, 3013/7730.
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 8929/474,3013/7730?
Given fractions are 8929/474,3013/7730
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 8929/474,3013/7730, numerators are 8929,3013
Denominators are 474,7730
The GCF of 8929,3013 is 1 .
LCM of 474,7730 is 1832010.
The greatest common factor of 8929/474,3013/7730 = [GCF of 8929,3013]/[LCM of 474,7730]= 1/1832010
Therefore, the GCF of 8929/474,3013/7730 is 1/1832010.
To find the highest common factor of 8929,3013, we have to find the factors of both numbers and list the highest common factor.
The factors of 8929 are 1, 8929
The factors of 3013 are 1, 23, 131, 3013
The HCF of 8929,3013 is 1.
Lets's calculate GCF of 8929,3013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8929,3013 By Matching Biggest Common Factor Method
Now, list down the factors of 8929
:1,8929
Now, list down the factors of 3013
:1,23,131,3013
Greatest Common Factor
We found the factors 8929,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 8929,3013 is 1.
Lets's calculate LCM of 474,7730
| 2 | 474, 7730 |
| 237, 3865 |
∴ So the LCM of the given numbers is 2 x 237 x 3865 = 1832010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1832010
Therefore, the GCF of Fractions 8929/474,3013/7730 is 1/1832010
Least Common Multiple of 474,7730 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 474,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,7730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,7730) x common factors =2 x 1 = 2
LCM(474,7730) = ( 474 × 7730 ) / 2
LCM(474,7730) = 3664020 / 2
LCM(474,7730) = 1832010
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FAQs on GCF of Fractions of 8929/474, 3013/7730
1. What is the HCF of 8929,3013?
The HCF of 8929,3013 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 8929/474, 3013/7730?
Answer: GCF of Numerators as per given numbers 8929/474, 3013/7730 is
GCF of Numerators i.e. for 8929,3013 is 1
LCM of denominators i.e. for 474,7730 is 1832010.
Thus, GCF of Fractions is 1/1832010.Finally, GCF of Fractions for 8929/474, 3013/7730 is 1/1832010.