GCF of 119/24, 478/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 119/24, 478/844 i.e 1/5064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 119/24, 478/844.
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 119/24,478/844?
Given fractions are 119/24,478/844
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 119/24,478/844, numerators are 119,478
Denominators are 24,844
The GCF of 119,478 is 1 .
LCM of 24,844 is 5064.
The greatest common factor of 119/24,478/844 = [GCF of 119,478]/[LCM of 24,844]= 1/5064
Therefore, the GCF of 119/24,478/844 is 1/5064.
To find the highest common factor of 119,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 119 are 1, 7, 17, 119
The factors of 478 are 1, 2, 239, 478
The HCF of 119,478 is 1.
Lets's calculate GCF of 119,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 119,478 By Matching Biggest Common Factor Method
Now, list down the factors of 119
:1,7,17,119
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 119,478 . The biggest common factor number is the GCF number.
So the greatest common factor 119,478 is 1.
Lets's calculate LCM of 24,844
| 2 | 24, 844 |
| 2 | 12, 422 |
| 6, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 6 x 211 = 5064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5064
Therefore, the GCF of Fractions 119/24,478/844 is 1/5064
Least Common Multiple of 24,844 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 24,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(24,844) x common factors =4 x 1 = 4
LCM(24,844) = ( 24 × 844 ) / 4
LCM(24,844) = 20256 / 4
LCM(24,844) = 5064
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FAQs on GCF of Fractions of 119/24, 478/844
1. What is the HCF of 119,478?
The HCF of 119,478 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 119/24, 478/844?
Answer: GCF of Numerators as per given numbers 119/24, 478/844 is
GCF of Numerators i.e. for 119,478 is 1
LCM of denominators i.e. for 24,844 is 5064.
Thus, GCF of Fractions is 1/5064.Finally, GCF of Fractions for 119/24, 478/844 is 1/5064.