GCF of 5063/360, 8849/9074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5063/360, 8849/9074 i.e 1/1633320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5063/360, 8849/9074.
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 5063/360,8849/9074?
Given fractions are 5063/360,8849/9074
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 5063/360,8849/9074, numerators are 5063,8849
Denominators are 360,9074
The GCF of 5063,8849 is 1 .
LCM of 360,9074 is 1633320.
The greatest common factor of 5063/360,8849/9074 = [GCF of 5063,8849]/[LCM of 360,9074]= 1/1633320
Therefore, the GCF of 5063/360,8849/9074 is 1/1633320.
To find the highest common factor of 5063,8849, we have to find the factors of both numbers and list the highest common factor.
The factors of 5063 are 1, 61, 83, 5063
The factors of 8849 are 1, 8849
The HCF of 5063,8849 is 1.
Lets's calculate GCF of 5063,8849
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5063,8849 By Matching Biggest Common Factor Method
Now, list down the factors of 5063
:1,61,83,5063
Now, list down the factors of 8849
:1,8849
Greatest Common Factor
We found the factors 5063,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 5063,8849 is 1.
Lets's calculate LCM of 360,9074
| 2 | 360, 9074 |
| 180, 4537 |
∴ So the LCM of the given numbers is 2 x 180 x 4537 = 1633320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633320
Therefore, the GCF of Fractions 5063/360,8849/9074 is 1/1633320
Least Common Multiple of 360,9074 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 360,9074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,9074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,9074) x common factors =2 x 1 = 2
LCM(360,9074) = ( 360 × 9074 ) / 2
LCM(360,9074) = 3266640 / 2
LCM(360,9074) = 1633320
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FAQs on GCF of Fractions of 5063/360, 8849/9074
1. What is the HCF of 5063,8849?
The HCF of 5063,8849 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 5063/360, 8849/9074?
Answer: GCF of Numerators as per given numbers 5063/360, 8849/9074 is
GCF of Numerators i.e. for 5063,8849 is 1
LCM of denominators i.e. for 360,9074 is 1633320.
Thus, GCF of Fractions is 1/1633320.Finally, GCF of Fractions for 5063/360, 8849/9074 is 1/1633320.