GCF of 7523/711, 6209/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7523/711, 6209/892 i.e 1/634212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7523/711, 6209/892.
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 7523/711,6209/892?
Given fractions are 7523/711,6209/892
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 7523/711,6209/892, numerators are 7523,6209
Denominators are 711,892
The GCF of 7523,6209 is 1 .
LCM of 711,892 is 634212.
The greatest common factor of 7523/711,6209/892 = [GCF of 7523,6209]/[LCM of 711,892]= 1/634212
Therefore, the GCF of 7523/711,6209/892 is 1/634212.
To find the highest common factor of 7523,6209, we have to find the factors of both numbers and list the highest common factor.
The factors of 7523 are 1, 7523
The factors of 6209 are 1, 7, 887, 6209
The HCF of 7523,6209 is 1.
Lets's calculate GCF of 7523,6209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7523,6209 By Matching Biggest Common Factor Method
Now, list down the factors of 7523
:1,7523
Now, list down the factors of 6209
:1,7,887,6209
Greatest Common Factor
We found the factors 7523,6209 . The biggest common factor number is the GCF number.
So the greatest common factor 7523,6209 is 1.
Lets's calculate LCM of 711,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 634212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634212
Therefore, the GCF of Fractions 7523/711,6209/892 is 1/634212
Least Common Multiple of 711,892 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 711,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,892) x common factors =1 x 1 = 1
LCM(711,892) = ( 711 × 892 ) / 1
LCM(711,892) = 634212 / 1
LCM(711,892) = 634212
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FAQs on GCF of Fractions of 7523/711, 6209/892
1. What is the HCF of 7523,6209?
The HCF of 7523,6209 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 7523/711, 6209/892?
Answer: GCF of Numerators as per given numbers 7523/711, 6209/892 is
GCF of Numerators i.e. for 7523,6209 is 1
LCM of denominators i.e. for 711,892 is 634212.
Thus, GCF of Fractions is 1/634212.Finally, GCF of Fractions for 7523/711, 6209/892 is 1/634212.