GCF of 6764/114, 1747/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6764/114, 1747/382 i.e 1/21774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6764/114, 1747/382.
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 6764/114,1747/382?
Given fractions are 6764/114,1747/382
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 6764/114,1747/382, numerators are 6764,1747
Denominators are 114,382
The GCF of 6764,1747 is 1 .
LCM of 114,382 is 21774.
The greatest common factor of 6764/114,1747/382 = [GCF of 6764,1747]/[LCM of 114,382]= 1/21774
Therefore, the GCF of 6764/114,1747/382 is 1/21774.
To find the highest common factor of 6764,1747, we have to find the factors of both numbers and list the highest common factor.
The factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764
The factors of 1747 are 1, 1747
The HCF of 6764,1747 is 1.
Lets's calculate GCF of 6764,1747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6764,1747 By Matching Biggest Common Factor Method
Now, list down the factors of 6764
:1,2,4,19,38,76,89,178,356,1691,3382,6764
Now, list down the factors of 1747
:1,1747
Greatest Common Factor
We found the factors 6764,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,1747 is 1.
Lets's calculate LCM of 114,382
| 2 | 114, 382 |
| 57, 191 |
∴ So the LCM of the given numbers is 2 x 57 x 191 = 21774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21774
Therefore, the GCF of Fractions 6764/114,1747/382 is 1/21774
Least Common Multiple of 114,382 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 114,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,382) x common factors =2 x 1 = 2
LCM(114,382) = ( 114 × 382 ) / 2
LCM(114,382) = 43548 / 2
LCM(114,382) = 21774
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FAQs on GCF of Fractions of 6764/114, 1747/382
1. What is the HCF of 6764,1747?
The HCF of 6764,1747 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 6764/114, 1747/382?
Answer: GCF of Numerators as per given numbers 6764/114, 1747/382 is
GCF of Numerators i.e. for 6764,1747 is 1
LCM of denominators i.e. for 114,382 is 21774.
Thus, GCF of Fractions is 1/21774.Finally, GCF of Fractions for 6764/114, 1747/382 is 1/21774.