GCF of 8537/545, 5866/4274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8537/545, 5866/4274 i.e 1/2329330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8537/545, 5866/4274.
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 8537/545,5866/4274?
Given fractions are 8537/545,5866/4274
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 8537/545,5866/4274, numerators are 8537,5866
Denominators are 545,4274
The GCF of 8537,5866 is 1 .
LCM of 545,4274 is 2329330.
The greatest common factor of 8537/545,5866/4274 = [GCF of 8537,5866]/[LCM of 545,4274]= 1/2329330
Therefore, the GCF of 8537/545,5866/4274 is 1/2329330.
To find the highest common factor of 8537,5866, we have to find the factors of both numbers and list the highest common factor.
The factors of 8537 are 1, 8537
The factors of 5866 are 1, 2, 7, 14, 419, 838, 2933, 5866
The HCF of 8537,5866 is 1.
Lets's calculate GCF of 8537,5866
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8537,5866 By Matching Biggest Common Factor Method
Now, list down the factors of 8537
:1,8537
Now, list down the factors of 5866
:1,2,7,14,419,838,2933,5866
Greatest Common Factor
We found the factors 8537,5866 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,5866 is 1.
Lets's calculate LCM of 545,4274
Given numbers has no common factors except 1. So, there LCM is their product i.e 2329330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2329330
Therefore, the GCF of Fractions 8537/545,5866/4274 is 1/2329330
Least Common Multiple of 545,4274 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 545,4274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,4274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,4274) x common factors =1 x 1 = 1
LCM(545,4274) = ( 545 × 4274 ) / 1
LCM(545,4274) = 2329330 / 1
LCM(545,4274) = 2329330
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FAQs on GCF of Fractions of 8537/545, 5866/4274
1. What is the HCF of 8537,5866?
The HCF of 8537,5866 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 8537/545, 5866/4274?
Answer: GCF of Numerators as per given numbers 8537/545, 5866/4274 is
GCF of Numerators i.e. for 8537,5866 is 1
LCM of denominators i.e. for 545,4274 is 2329330.
Thus, GCF of Fractions is 1/2329330.Finally, GCF of Fractions for 8537/545, 5866/4274 is 1/2329330.