GCF of 7132/786, 8313/9164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7132/786, 8313/9164 i.e 1/3601452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7132/786, 8313/9164.
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 7132/786,8313/9164?
Given fractions are 7132/786,8313/9164
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 7132/786,8313/9164, numerators are 7132,8313
Denominators are 786,9164
The GCF of 7132,8313 is 1 .
LCM of 786,9164 is 3601452.
The greatest common factor of 7132/786,8313/9164 = [GCF of 7132,8313]/[LCM of 786,9164]= 1/3601452
Therefore, the GCF of 7132/786,8313/9164 is 1/3601452.
To find the highest common factor of 7132,8313, we have to find the factors of both numbers and list the highest common factor.
The factors of 7132 are 1, 2, 4, 1783, 3566, 7132
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The HCF of 7132,8313 is 1.
Lets's calculate GCF of 7132,8313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7132,8313 By Matching Biggest Common Factor Method
Now, list down the factors of 7132
:1,2,4,1783,3566,7132
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Greatest Common Factor
We found the factors 7132,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,8313 is 1.
Lets's calculate LCM of 786,9164
| 2 | 786, 9164 |
| 393, 4582 |
∴ So the LCM of the given numbers is 2 x 393 x 4582 = 3601452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3601452
Therefore, the GCF of Fractions 7132/786,8313/9164 is 1/3601452
Least Common Multiple of 786,9164 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 786,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,9164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,9164) x common factors =2 x 1 = 2
LCM(786,9164) = ( 786 × 9164 ) / 2
LCM(786,9164) = 7202904 / 2
LCM(786,9164) = 3601452
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FAQs on GCF of Fractions of 7132/786, 8313/9164
1. What is the HCF of 7132,8313?
The HCF of 7132,8313 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 7132/786, 8313/9164?
Answer: GCF of Numerators as per given numbers 7132/786, 8313/9164 is
GCF of Numerators i.e. for 7132,8313 is 1
LCM of denominators i.e. for 786,9164 is 3601452.
Thus, GCF of Fractions is 1/3601452.Finally, GCF of Fractions for 7132/786, 8313/9164 is 1/3601452.