GCF of 1920/953, 5935/6099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1920/953, 5935/6099 i.e 5/5812347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1920/953, 5935/6099.
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 1920/953,5935/6099?
Given fractions are 1920/953,5935/6099
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 1920/953,5935/6099, numerators are 1920,5935
Denominators are 953,6099
The GCF of 1920,5935 is 5 .
LCM of 953,6099 is 5812347.
The greatest common factor of 1920/953,5935/6099 = [GCF of 1920,5935]/[LCM of 953,6099]= 5/5812347
Therefore, the GCF of 1920/953,5935/6099 is 5/5812347.
To find the highest common factor of 1920,5935, we have to find the factors of both numbers and list the highest common factor.
The factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920
The factors of 5935 are 1, 5, 1187, 5935
The HCF of 1920,5935 is 5.
Lets's calculate GCF of 1920,5935
| 5 | 1920, 5935 |
| 384, 1187 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1920,5935 By Matching Biggest Common Factor Method
Now, list down the factors of 1920
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920
Now, list down the factors of 5935
:1,5,1187,5935
Greatest Common Factor
We found the factors 1920,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 1920,5935 is 5.
Lets's calculate LCM of 953,6099
Given numbers has no common factors except 1. So, there LCM is their product i.e 5812347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5812347
Therefore, the GCF of Fractions 1920/953,5935/6099 is 5/5812347
Least Common Multiple of 953,6099 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 953,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,6099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,6099) x common factors =1 x 1 = 1
LCM(953,6099) = ( 953 × 6099 ) / 1
LCM(953,6099) = 5812347 / 1
LCM(953,6099) = 5812347
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FAQs on GCF of Fractions of 1920/953, 5935/6099
1. What is the HCF of 1920,5935?
The HCF of 1920,5935 is 5
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 1920/953, 5935/6099?
Answer: GCF of Numerators as per given numbers 1920/953, 5935/6099 is
GCF of Numerators i.e. for 1920,5935 is 5
LCM of denominators i.e. for 953,6099 is 5812347.
Thus, GCF of Fractions is 5/5812347.Finally, GCF of Fractions for 1920/953, 5935/6099 is 5/5812347.