GCF of 1920/457, 7997/2660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1920/457, 7997/2660 i.e 1/1215620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1920/457, 7997/2660.
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 1920/457,7997/2660?
Given fractions are 1920/457,7997/2660
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 1920/457,7997/2660, numerators are 1920,7997
Denominators are 457,2660
The GCF of 1920,7997 is 1 .
LCM of 457,2660 is 1215620.
The greatest common factor of 1920/457,7997/2660 = [GCF of 1920,7997]/[LCM of 457,2660]= 1/1215620
Therefore, the GCF of 1920/457,7997/2660 is 1/1215620.
To find the highest common factor of 1920,7997, 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 7997 are 1, 11, 727, 7997
The HCF of 1920,7997 is 1.
Lets's calculate GCF of 1920,7997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1920,7997 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 7997
:1,11,727,7997
Greatest Common Factor
We found the factors 1920,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 1920,7997 is 1.
Lets's calculate LCM of 457,2660
Given numbers has no common factors except 1. So, there LCM is their product i.e 1215620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215620
Therefore, the GCF of Fractions 1920/457,7997/2660 is 1/1215620
Least Common Multiple of 457,2660 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 457,2660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,2660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,2660) x common factors =1 x 1 = 1
LCM(457,2660) = ( 457 × 2660 ) / 1
LCM(457,2660) = 1215620 / 1
LCM(457,2660) = 1215620
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FAQs on GCF of Fractions of 1920/457, 7997/2660
1. What is the HCF of 1920,7997?
The HCF of 1920,7997 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 1920/457, 7997/2660?
Answer: GCF of Numerators as per given numbers 1920/457, 7997/2660 is
GCF of Numerators i.e. for 1920,7997 is 1
LCM of denominators i.e. for 457,2660 is 1215620.
Thus, GCF of Fractions is 1/1215620.Finally, GCF of Fractions for 1920/457, 7997/2660 is 1/1215620.