GCF of 512/643, 7261/9760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 512/643, 7261/9760 i.e 1/6275680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/643, 7261/9760.
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 512/643,7261/9760?
Given fractions are 512/643,7261/9760
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 512/643,7261/9760, numerators are 512,7261
Denominators are 643,9760
The GCF of 512,7261 is 1 .
LCM of 643,9760 is 6275680.
The greatest common factor of 512/643,7261/9760 = [GCF of 512,7261]/[LCM of 643,9760]= 1/6275680
Therefore, the GCF of 512/643,7261/9760 is 1/6275680.
To find the highest common factor of 512,7261, we have to find the factors of both numbers and list the highest common factor.
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 7261 are 1, 53, 137, 7261
The HCF of 512,7261 is 1.
Lets's calculate GCF of 512,7261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 512,7261 By Matching Biggest Common Factor Method
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 7261
:1,53,137,7261
Greatest Common Factor
We found the factors 512,7261 . The biggest common factor number is the GCF number.
So the greatest common factor 512,7261 is 1.
Lets's calculate LCM of 643,9760
Given numbers has no common factors except 1. So, there LCM is their product i.e 6275680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6275680
Therefore, the GCF of Fractions 512/643,7261/9760 is 1/6275680
Least Common Multiple of 643,9760 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 643,9760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,9760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,9760) x common factors =1 x 1 = 1
LCM(643,9760) = ( 643 × 9760 ) / 1
LCM(643,9760) = 6275680 / 1
LCM(643,9760) = 6275680
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FAQs on GCF of Fractions of 512/643, 7261/9760
1. What is the HCF of 512,7261?
The HCF of 512,7261 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 512/643, 7261/9760?
Answer: GCF of Numerators as per given numbers 512/643, 7261/9760 is
GCF of Numerators i.e. for 512,7261 is 1
LCM of denominators i.e. for 643,9760 is 6275680.
Thus, GCF of Fractions is 1/6275680.Finally, GCF of Fractions for 512/643, 7261/9760 is 1/6275680.