GCF of 6878/512, 9565/7409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6878/512, 9565/7409 i.e 1/3793408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6878/512, 9565/7409.
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 6878/512,9565/7409?
Given fractions are 6878/512,9565/7409
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 6878/512,9565/7409, numerators are 6878,9565
Denominators are 512,7409
The GCF of 6878,9565 is 1 .
LCM of 512,7409 is 3793408.
The greatest common factor of 6878/512,9565/7409 = [GCF of 6878,9565]/[LCM of 512,7409]= 1/3793408
Therefore, the GCF of 6878/512,9565/7409 is 1/3793408.
To find the highest common factor of 6878,9565, we have to find the factors of both numbers and list the highest common factor.
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The factors of 9565 are 1, 5, 1913, 9565
The HCF of 6878,9565 is 1.
Lets's calculate GCF of 6878,9565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6878,9565 By Matching Biggest Common Factor Method
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Now, list down the factors of 9565
:1,5,1913,9565
Greatest Common Factor
We found the factors 6878,9565 . The biggest common factor number is the GCF number.
So the greatest common factor 6878,9565 is 1.
Lets's calculate LCM of 512,7409
Given numbers has no common factors except 1. So, there LCM is their product i.e 3793408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3793408
Therefore, the GCF of Fractions 6878/512,9565/7409 is 1/3793408
Least Common Multiple of 512,7409 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 512,7409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,7409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,7409) x common factors =1 x 1 = 1
LCM(512,7409) = ( 512 × 7409 ) / 1
LCM(512,7409) = 3793408 / 1
LCM(512,7409) = 3793408
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FAQs on GCF of Fractions of 6878/512, 9565/7409
1. What is the HCF of 6878,9565?
The HCF of 6878,9565 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 6878/512, 9565/7409?
Answer: GCF of Numerators as per given numbers 6878/512, 9565/7409 is
GCF of Numerators i.e. for 6878,9565 is 1
LCM of denominators i.e. for 512,7409 is 3793408.
Thus, GCF of Fractions is 1/3793408.Finally, GCF of Fractions for 6878/512, 9565/7409 is 1/3793408.