GCF of 5324/658, 2709/3277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/658, 2709/3277 i.e 1/2156266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/658, 2709/3277.
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 5324/658,2709/3277?
Given fractions are 5324/658,2709/3277
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 5324/658,2709/3277, numerators are 5324,2709
Denominators are 658,3277
The GCF of 5324,2709 is 1 .
LCM of 658,3277 is 2156266.
The greatest common factor of 5324/658,2709/3277 = [GCF of 5324,2709]/[LCM of 658,3277]= 1/2156266
Therefore, the GCF of 5324/658,2709/3277 is 1/2156266.
To find the highest common factor of 5324,2709, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709
The HCF of 5324,2709 is 1.
Lets's calculate GCF of 5324,2709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5324,2709 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 2709
:1,3,7,9,21,43,63,129,301,387,903,2709
Greatest Common Factor
We found the factors 5324,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,2709 is 1.
Lets's calculate LCM of 658,3277
Given numbers has no common factors except 1. So, there LCM is their product i.e 2156266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2156266
Therefore, the GCF of Fractions 5324/658,2709/3277 is 1/2156266
Least Common Multiple of 658,3277 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 658,3277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,3277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,3277) x common factors =1 x 1 = 1
LCM(658,3277) = ( 658 × 3277 ) / 1
LCM(658,3277) = 2156266 / 1
LCM(658,3277) = 2156266
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FAQs on GCF of Fractions of 5324/658, 2709/3277
1. What is the HCF of 5324,2709?
The HCF of 5324,2709 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 5324/658, 2709/3277?
Answer: GCF of Numerators as per given numbers 5324/658, 2709/3277 is
GCF of Numerators i.e. for 5324,2709 is 1
LCM of denominators i.e. for 658,3277 is 2156266.
Thus, GCF of Fractions is 1/2156266.Finally, GCF of Fractions for 5324/658, 2709/3277 is 1/2156266.