GCF of 9791/269, 1260/751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9791/269, 1260/751 i.e 1/202019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9791/269, 1260/751.
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 9791/269,1260/751?
Given fractions are 9791/269,1260/751
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 9791/269,1260/751, numerators are 9791,1260
Denominators are 269,751
The GCF of 9791,1260 is 1 .
LCM of 269,751 is 202019.
The greatest common factor of 9791/269,1260/751 = [GCF of 9791,1260]/[LCM of 269,751]= 1/202019
Therefore, the GCF of 9791/269,1260/751 is 1/202019.
To find the highest common factor of 9791,1260, we have to find the factors of both numbers and list the highest common factor.
The factors of 9791 are 1, 9791
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The HCF of 9791,1260 is 1.
Lets's calculate GCF of 9791,1260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9791,1260 By Matching Biggest Common Factor Method
Now, list down the factors of 9791
:1,9791
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 9791,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,1260 is 1.
Lets's calculate LCM of 269,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 202019
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202019
Therefore, the GCF of Fractions 9791/269,1260/751 is 1/202019
Least Common Multiple of 269,751 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 269,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,751) x common factors =1 x 1 = 1
LCM(269,751) = ( 269 × 751 ) / 1
LCM(269,751) = 202019 / 1
LCM(269,751) = 202019
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FAQs on GCF of Fractions of 9791/269, 1260/751
1. What is the HCF of 9791,1260?
The HCF of 9791,1260 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 9791/269, 1260/751?
Answer: GCF of Numerators as per given numbers 9791/269, 1260/751 is
GCF of Numerators i.e. for 9791,1260 is 1
LCM of denominators i.e. for 269,751 is 202019.
Thus, GCF of Fractions is 1/202019.Finally, GCF of Fractions for 9791/269, 1260/751 is 1/202019.