GCF of 1975/613, 9856/1693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1975/613, 9856/1693 i.e 1/1037809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1975/613, 9856/1693.
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 1975/613,9856/1693?
Given fractions are 1975/613,9856/1693
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 1975/613,9856/1693, numerators are 1975,9856
Denominators are 613,1693
The GCF of 1975,9856 is 1 .
LCM of 613,1693 is 1037809.
The greatest common factor of 1975/613,9856/1693 = [GCF of 1975,9856]/[LCM of 613,1693]= 1/1037809
Therefore, the GCF of 1975/613,9856/1693 is 1/1037809.
To find the highest common factor of 1975,9856, we have to find the factors of both numbers and list the highest common factor.
The factors of 1975 are 1, 5, 25, 79, 395, 1975
The factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856
The HCF of 1975,9856 is 1.
Lets's calculate GCF of 1975,9856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1975,9856 By Matching Biggest Common Factor Method
Now, list down the factors of 1975
:1,5,25,79,395,1975
Now, list down the factors of 9856
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Greatest Common Factor
We found the factors 1975,9856 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,9856 is 1.
Lets's calculate LCM of 613,1693
Given numbers has no common factors except 1. So, there LCM is their product i.e 1037809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037809
Therefore, the GCF of Fractions 1975/613,9856/1693 is 1/1037809
Least Common Multiple of 613,1693 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 613,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,1693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,1693) x common factors =1 x 1 = 1
LCM(613,1693) = ( 613 × 1693 ) / 1
LCM(613,1693) = 1037809 / 1
LCM(613,1693) = 1037809
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1975/613, 9856/1693
1. What is the HCF of 1975,9856?
The HCF of 1975,9856 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 1975/613, 9856/1693?
Answer: GCF of Numerators as per given numbers 1975/613, 9856/1693 is
GCF of Numerators i.e. for 1975,9856 is 1
LCM of denominators i.e. for 613,1693 is 1037809.
Thus, GCF of Fractions is 1/1037809.Finally, GCF of Fractions for 1975/613, 9856/1693 is 1/1037809.