GCF of 786/654, 9436/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 786/654, 9436/482 i.e 2/157614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/654, 9436/482.
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 786/654,9436/482?
Given fractions are 786/654,9436/482
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 786/654,9436/482, numerators are 786,9436
Denominators are 654,482
The GCF of 786,9436 is 2 .
LCM of 654,482 is 157614.
The greatest common factor of 786/654,9436/482 = [GCF of 786,9436]/[LCM of 654,482]= 2/157614
Therefore, the GCF of 786/654,9436/482 is 2/157614.
To find the highest common factor of 786,9436, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The HCF of 786,9436 is 2.
Lets's calculate GCF of 786,9436
| 2 | 786, 9436 |
| 393, 4718 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 786,9436 By Matching Biggest Common Factor Method
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 786,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 786,9436 is 2.
Lets's calculate LCM of 654,482
| 2 | 654, 482 |
| 327, 241 |
∴ So the LCM of the given numbers is 2 x 327 x 241 = 157614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157614
Therefore, the GCF of Fractions 786/654,9436/482 is 2/157614
Least Common Multiple of 654,482 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 654,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,482) x common factors =2 x 1 = 2
LCM(654,482) = ( 654 × 482 ) / 2
LCM(654,482) = 315228 / 2
LCM(654,482) = 157614
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FAQs on GCF of Fractions of 786/654, 9436/482
1. What is the HCF of 786,9436?
The HCF of 786,9436 is 2
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 786/654, 9436/482?
Answer: GCF of Numerators as per given numbers 786/654, 9436/482 is
GCF of Numerators i.e. for 786,9436 is 2
LCM of denominators i.e. for 654,482 is 157614.
Thus, GCF of Fractions is 2/157614.Finally, GCF of Fractions for 786/654, 9436/482 is 2/157614.