GCF of 9469/714, 8731/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9469/714, 8731/674 i.e 1/240618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9469/714, 8731/674.
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 9469/714,8731/674?
Given fractions are 9469/714,8731/674
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 9469/714,8731/674, numerators are 9469,8731
Denominators are 714,674
The GCF of 9469,8731 is 1 .
LCM of 714,674 is 240618.
The greatest common factor of 9469/714,8731/674 = [GCF of 9469,8731]/[LCM of 714,674]= 1/240618
Therefore, the GCF of 9469/714,8731/674 is 1/240618.
To find the highest common factor of 9469,8731, we have to find the factors of both numbers and list the highest common factor.
The factors of 9469 are 1, 17, 557, 9469
The factors of 8731 are 1, 8731
The HCF of 9469,8731 is 1.
Lets's calculate GCF of 9469,8731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9469,8731 By Matching Biggest Common Factor Method
Now, list down the factors of 9469
:1,17,557,9469
Now, list down the factors of 8731
:1,8731
Greatest Common Factor
We found the factors 9469,8731 . The biggest common factor number is the GCF number.
So the greatest common factor 9469,8731 is 1.
Lets's calculate LCM of 714,674
| 2 | 714, 674 |
| 357, 337 |
∴ So the LCM of the given numbers is 2 x 357 x 337 = 240618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240618
Therefore, the GCF of Fractions 9469/714,8731/674 is 1/240618
Least Common Multiple of 714,674 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 714,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,674) x common factors =2 x 1 = 2
LCM(714,674) = ( 714 × 674 ) / 2
LCM(714,674) = 481236 / 2
LCM(714,674) = 240618
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FAQs on GCF of Fractions of 9469/714, 8731/674
1. What is the HCF of 9469,8731?
The HCF of 9469,8731 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 9469/714, 8731/674?
Answer: GCF of Numerators as per given numbers 9469/714, 8731/674 is
GCF of Numerators i.e. for 9469,8731 is 1
LCM of denominators i.e. for 714,674 is 240618.
Thus, GCF of Fractions is 1/240618.Finally, GCF of Fractions for 9469/714, 8731/674 is 1/240618.