GCF of 5120/354, 5381/7833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5120/354, 5381/7833 i.e 1/924294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5120/354, 5381/7833.
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 5120/354,5381/7833?
Given fractions are 5120/354,5381/7833
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 5120/354,5381/7833, numerators are 5120,5381
Denominators are 354,7833
The GCF of 5120,5381 is 1 .
LCM of 354,7833 is 924294.
The greatest common factor of 5120/354,5381/7833 = [GCF of 5120,5381]/[LCM of 354,7833]= 1/924294
Therefore, the GCF of 5120/354,5381/7833 is 1/924294.
To find the highest common factor of 5120,5381, we have to find the factors of both numbers and list the highest common factor.
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The factors of 5381 are 1, 5381
The HCF of 5120,5381 is 1.
Lets's calculate GCF of 5120,5381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5120,5381 By Matching Biggest Common Factor Method
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Now, list down the factors of 5381
:1,5381
Greatest Common Factor
We found the factors 5120,5381 . The biggest common factor number is the GCF number.
So the greatest common factor 5120,5381 is 1.
Lets's calculate LCM of 354,7833
| 3 | 354, 7833 |
| 118, 2611 |
∴ So the LCM of the given numbers is 3 x 118 x 2611 = 924294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924294
Therefore, the GCF of Fractions 5120/354,5381/7833 is 1/924294
Least Common Multiple of 354,7833 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 354,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7833) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7833) x common factors =3 x 1 = 3
LCM(354,7833) = ( 354 × 7833 ) / 3
LCM(354,7833) = 2772882 / 3
LCM(354,7833) = 924294
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FAQs on GCF of Fractions of 5120/354, 5381/7833
1. What is the HCF of 5120,5381?
The HCF of 5120,5381 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 5120/354, 5381/7833?
Answer: GCF of Numerators as per given numbers 5120/354, 5381/7833 is
GCF of Numerators i.e. for 5120,5381 is 1
LCM of denominators i.e. for 354,7833 is 924294.
Thus, GCF of Fractions is 1/924294.Finally, GCF of Fractions for 5120/354, 5381/7833 is 1/924294.