GCF of 8077/971, 1914/9755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/971, 1914/9755 i.e 1/9472105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/971, 1914/9755.
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 8077/971,1914/9755?
Given fractions are 8077/971,1914/9755
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 8077/971,1914/9755, numerators are 8077,1914
Denominators are 971,9755
The GCF of 8077,1914 is 1 .
LCM of 971,9755 is 9472105.
The greatest common factor of 8077/971,1914/9755 = [GCF of 8077,1914]/[LCM of 971,9755]= 1/9472105
Therefore, the GCF of 8077/971,1914/9755 is 1/9472105.
To find the highest common factor of 8077,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 8077 are 1, 41, 197, 8077
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 8077,1914 is 1.
Lets's calculate GCF of 8077,1914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Greatest Common Factor
We found the factors 8077,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,1914 is 1.
Lets's calculate LCM of 971,9755
Given numbers has no common factors except 1. So, there LCM is their product i.e 9472105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9472105
Therefore, the GCF of Fractions 8077/971,1914/9755 is 1/9472105
Least Common Multiple of 971,9755 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 971,9755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,9755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,9755) x common factors =1 x 1 = 1
LCM(971,9755) = ( 971 × 9755 ) / 1
LCM(971,9755) = 9472105 / 1
LCM(971,9755) = 9472105
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FAQs on GCF of Fractions of 8077/971, 1914/9755
1. What is the HCF of 8077,1914?
The HCF of 8077,1914 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 8077/971, 1914/9755?
Answer: GCF of Numerators as per given numbers 8077/971, 1914/9755 is
GCF of Numerators i.e. for 8077,1914 is 1
LCM of denominators i.e. for 971,9755 is 9472105.
Thus, GCF of Fractions is 1/9472105.Finally, GCF of Fractions for 8077/971, 1914/9755 is 1/9472105.