GCF of 325/509, 512/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 325/509, 512/700 i.e 1/356300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/509, 512/700.
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 325/509,512/700?
Given fractions are 325/509,512/700
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 325/509,512/700, numerators are 325,512
Denominators are 509,700
The GCF of 325,512 is 1 .
LCM of 509,700 is 356300.
The greatest common factor of 325/509,512/700 = [GCF of 325,512]/[LCM of 509,700]= 1/356300
Therefore, the GCF of 325/509,512/700 is 1/356300.
To find the highest common factor of 325,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 325,512 is 1.
Lets's calculate GCF of 325,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 325,512 By Matching Biggest Common Factor Method
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 325,512 . The biggest common factor number is the GCF number.
So the greatest common factor 325,512 is 1.
Lets's calculate LCM of 509,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 356300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356300
Therefore, the GCF of Fractions 325/509,512/700 is 1/356300
Least Common Multiple of 509,700 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 509,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,700) x common factors =1 x 1 = 1
LCM(509,700) = ( 509 × 700 ) / 1
LCM(509,700) = 356300 / 1
LCM(509,700) = 356300
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FAQs on GCF of Fractions of 325/509, 512/700
1. What is the HCF of 325,512?
The HCF of 325,512 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 325/509, 512/700?
Answer: GCF of Numerators as per given numbers 325/509, 512/700 is
GCF of Numerators i.e. for 325,512 is 1
LCM of denominators i.e. for 509,700 is 356300.
Thus, GCF of Fractions is 1/356300.Finally, GCF of Fractions for 325/509, 512/700 is 1/356300.