GCF of 709/741, 586/827, 971/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 709/741, 586/827, 971/831 i.e 1/169747539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/741, 586/827, 971/831.
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 709/741,586/827,971/831?
Given fractions are 709/741,586/827,971/831
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 709/741,586/827,971/831, numerators are 709,586,971
Denominators are 741,827,831
The GCF of 709,586,971 is 1 .
LCM of 741,827,831 is 169747539.
The greatest common factor of 709/741,586/827,971/831 = [GCF of 709,586,971]/[LCM of 741,827,831]= 1/169747539
Therefore, the GCF of 709/741,586/827,971/831 is 1/169747539.
To find the highest common factor of 709,586,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 709 are 1, 709
The factors of 586 are 1, 2, 293, 586
The factors of 971 are 1, 971
The HCF of 709,586,971 is 1.
Lets's calculate GCF of 709,586,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 709,586,971 By Matching Biggest Common Factor Method
Now, list down the factors of 709
:1,709
Now, list down the factors of 586
:1,2,293,586
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 709,586,971 . The biggest common factor number is the GCF number.
So the greatest common factor 709,586,971 is 1.
Lets's calculate LCM of 741,827,831
| 3 | 741, 827, 831 |
| 247, 827, 277 |
∴ So the LCM of the given numbers is 3 x 247 x 827 x 277 = 169747539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169747539
Therefore, the GCF of Fractions 709/741,586/827,971/831 is 1/169747539
Least Common Multiple of 741,827,831 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 741,827,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,827,831) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(741,827,831) x common factors =1 x 3 = 3
LCM(741,827,831) = ( 741 × 827 × 831 ) / 3
LCM(741,827,831) = 509242617 / 3
LCM(741,827,831) = 169747539
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 709/741, 586/827, 971/831
1. What is the HCF of 709,586,971?
The HCF of 709,586,971 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 709/741, 586/827, 971/831?
Answer: GCF of Numerators as per given numbers 709/741, 586/827, 971/831 is
GCF of Numerators i.e. for 709,586,971 is 1
LCM of denominators i.e. for 741,827,831 is 169747539.
Thus, GCF of Fractions is 1/169747539.Finally, GCF of Fractions for 709/741, 586/827, 971/831 is 1/169747539.