GCF of 6951/684, 9011/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6951/684, 9011/382 i.e 1/130644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6951/684, 9011/382.
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 6951/684,9011/382?
Given fractions are 6951/684,9011/382
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 6951/684,9011/382, numerators are 6951,9011
Denominators are 684,382
The GCF of 6951,9011 is 1 .
LCM of 684,382 is 130644.
The greatest common factor of 6951/684,9011/382 = [GCF of 6951,9011]/[LCM of 684,382]= 1/130644
Therefore, the GCF of 6951/684,9011/382 is 1/130644.
To find the highest common factor of 6951,9011, we have to find the factors of both numbers and list the highest common factor.
The factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951
The factors of 9011 are 1, 9011
The HCF of 6951,9011 is 1.
Lets's calculate GCF of 6951,9011
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6951,9011 By Matching Biggest Common Factor Method
Now, list down the factors of 6951
:1,3,7,21,331,993,2317,6951
Now, list down the factors of 9011
:1,9011
Greatest Common Factor
We found the factors 6951,9011 . The biggest common factor number is the GCF number.
So the greatest common factor 6951,9011 is 1.
Lets's calculate LCM of 684,382
| 2 | 684, 382 |
| 342, 191 |
∴ So the LCM of the given numbers is 2 x 342 x 191 = 130644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130644
Therefore, the GCF of Fractions 6951/684,9011/382 is 1/130644
Least Common Multiple of 684,382 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 684,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,382) x common factors =2 x 1 = 2
LCM(684,382) = ( 684 × 382 ) / 2
LCM(684,382) = 261288 / 2
LCM(684,382) = 130644
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FAQs on GCF of Fractions of 6951/684, 9011/382
1. What is the HCF of 6951,9011?
The HCF of 6951,9011 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 6951/684, 9011/382?
Answer: GCF of Numerators as per given numbers 6951/684, 9011/382 is
GCF of Numerators i.e. for 6951,9011 is 1
LCM of denominators i.e. for 684,382 is 130644.
Thus, GCF of Fractions is 1/130644.Finally, GCF of Fractions for 6951/684, 9011/382 is 1/130644.