GCF of 6754/385, 7509/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6754/385, 7509/822 i.e 1/316470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6754/385, 7509/822.
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 6754/385,7509/822?
Given fractions are 6754/385,7509/822
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 6754/385,7509/822, numerators are 6754,7509
Denominators are 385,822
The GCF of 6754,7509 is 1 .
LCM of 385,822 is 316470.
The greatest common factor of 6754/385,7509/822 = [GCF of 6754,7509]/[LCM of 385,822]= 1/316470
Therefore, the GCF of 6754/385,7509/822 is 1/316470.
To find the highest common factor of 6754,7509, we have to find the factors of both numbers and list the highest common factor.
The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754
The factors of 7509 are 1, 3, 2503, 7509
The HCF of 6754,7509 is 1.
Lets's calculate GCF of 6754,7509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6754,7509 By Matching Biggest Common Factor Method
Now, list down the factors of 6754
:1,2,11,22,307,614,3377,6754
Now, list down the factors of 7509
:1,3,2503,7509
Greatest Common Factor
We found the factors 6754,7509 . The biggest common factor number is the GCF number.
So the greatest common factor 6754,7509 is 1.
Lets's calculate LCM of 385,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 316470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316470
Therefore, the GCF of Fractions 6754/385,7509/822 is 1/316470
Least Common Multiple of 385,822 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 385,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,822) x common factors =1 x 1 = 1
LCM(385,822) = ( 385 × 822 ) / 1
LCM(385,822) = 316470 / 1
LCM(385,822) = 316470
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FAQs on GCF of Fractions of 6754/385, 7509/822
1. What is the HCF of 6754,7509?
The HCF of 6754,7509 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 6754/385, 7509/822?
Answer: GCF of Numerators as per given numbers 6754/385, 7509/822 is
GCF of Numerators i.e. for 6754,7509 is 1
LCM of denominators i.e. for 385,822 is 316470.
Thus, GCF of Fractions is 1/316470.Finally, GCF of Fractions for 6754/385, 7509/822 is 1/316470.