GCF of 6527/509, 7438/3432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6527/509, 7438/3432 i.e 1/1746888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6527/509, 7438/3432.
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 6527/509,7438/3432?
Given fractions are 6527/509,7438/3432
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 6527/509,7438/3432, numerators are 6527,7438
Denominators are 509,3432
The GCF of 6527,7438 is 1 .
LCM of 509,3432 is 1746888.
The greatest common factor of 6527/509,7438/3432 = [GCF of 6527,7438]/[LCM of 509,3432]= 1/1746888
Therefore, the GCF of 6527/509,7438/3432 is 1/1746888.
To find the highest common factor of 6527,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6527 are 1, 61, 107, 6527
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 6527,7438 is 1.
Lets's calculate GCF of 6527,7438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6527,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 6527
:1,61,107,6527
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 6527,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 6527,7438 is 1.
Lets's calculate LCM of 509,3432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1746888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746888
Therefore, the GCF of Fractions 6527/509,7438/3432 is 1/1746888
Least Common Multiple of 509,3432 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 509,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,3432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,3432) x common factors =1 x 1 = 1
LCM(509,3432) = ( 509 × 3432 ) / 1
LCM(509,3432) = 1746888 / 1
LCM(509,3432) = 1746888
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FAQs on GCF of Fractions of 6527/509, 7438/3432
1. What is the HCF of 6527,7438?
The HCF of 6527,7438 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 6527/509, 7438/3432?
Answer: GCF of Numerators as per given numbers 6527/509, 7438/3432 is
GCF of Numerators i.e. for 6527,7438 is 1
LCM of denominators i.e. for 509,3432 is 1746888.
Thus, GCF of Fractions is 1/1746888.Finally, GCF of Fractions for 6527/509, 7438/3432 is 1/1746888.