GCF of 1064/843, 7489/1151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1064/843, 7489/1151 i.e 1/970293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1064/843, 7489/1151.
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 1064/843,7489/1151?
Given fractions are 1064/843,7489/1151
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 1064/843,7489/1151, numerators are 1064,7489
Denominators are 843,1151
The GCF of 1064,7489 is 1 .
LCM of 843,1151 is 970293.
The greatest common factor of 1064/843,7489/1151 = [GCF of 1064,7489]/[LCM of 843,1151]= 1/970293
Therefore, the GCF of 1064/843,7489/1151 is 1/970293.
To find the highest common factor of 1064,7489, we have to find the factors of both numbers and list the highest common factor.
The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064
The factors of 7489 are 1, 7489
The HCF of 1064,7489 is 1.
Lets's calculate GCF of 1064,7489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1064,7489 By Matching Biggest Common Factor Method
Now, list down the factors of 1064
:1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064
Now, list down the factors of 7489
:1,7489
Greatest Common Factor
We found the factors 1064,7489 . The biggest common factor number is the GCF number.
So the greatest common factor 1064,7489 is 1.
Lets's calculate LCM of 843,1151
Given numbers has no common factors except 1. So, there LCM is their product i.e 970293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/970293
Therefore, the GCF of Fractions 1064/843,7489/1151 is 1/970293
Least Common Multiple of 843,1151 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 843,1151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,1151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,1151) x common factors =1 x 1 = 1
LCM(843,1151) = ( 843 × 1151 ) / 1
LCM(843,1151) = 970293 / 1
LCM(843,1151) = 970293
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1064/843, 7489/1151
1. What is the HCF of 1064,7489?
The HCF of 1064,7489 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 1064/843, 7489/1151?
Answer: GCF of Numerators as per given numbers 1064/843, 7489/1151 is
GCF of Numerators i.e. for 1064,7489 is 1
LCM of denominators i.e. for 843,1151 is 970293.
Thus, GCF of Fractions is 1/970293.Finally, GCF of Fractions for 1064/843, 7489/1151 is 1/970293.