GCF of 8511/539, 7322/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8511/539, 7322/750 i.e 1/404250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8511/539, 7322/750.
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 8511/539,7322/750?
Given fractions are 8511/539,7322/750
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 8511/539,7322/750, numerators are 8511,7322
Denominators are 539,750
The GCF of 8511,7322 is 1 .
LCM of 539,750 is 404250.
The greatest common factor of 8511/539,7322/750 = [GCF of 8511,7322]/[LCM of 539,750]= 1/404250
Therefore, the GCF of 8511/539,7322/750 is 1/404250.
To find the highest common factor of 8511,7322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8511 are 1, 3, 2837, 8511
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The HCF of 8511,7322 is 1.
Lets's calculate GCF of 8511,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8511,7322 By Matching Biggest Common Factor Method
Now, list down the factors of 8511
:1,3,2837,8511
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 8511,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 8511,7322 is 1.
Lets's calculate LCM of 539,750
Given numbers has no common factors except 1. So, there LCM is their product i.e 404250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404250
Therefore, the GCF of Fractions 8511/539,7322/750 is 1/404250
Least Common Multiple of 539,750 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 539,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,750) x common factors =1 x 1 = 1
LCM(539,750) = ( 539 × 750 ) / 1
LCM(539,750) = 404250 / 1
LCM(539,750) = 404250
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FAQs on GCF of Fractions of 8511/539, 7322/750
1. What is the HCF of 8511,7322?
The HCF of 8511,7322 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 8511/539, 7322/750?
Answer: GCF of Numerators as per given numbers 8511/539, 7322/750 is
GCF of Numerators i.e. for 8511,7322 is 1
LCM of denominators i.e. for 539,750 is 404250.
Thus, GCF of Fractions is 1/404250.Finally, GCF of Fractions for 8511/539, 7322/750 is 1/404250.