GCF of 6513/256, 7450/2890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6513/256, 7450/2890 i.e 1/369920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6513/256, 7450/2890.
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 6513/256,7450/2890?
Given fractions are 6513/256,7450/2890
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 6513/256,7450/2890, numerators are 6513,7450
Denominators are 256,2890
The GCF of 6513,7450 is 1 .
LCM of 256,2890 is 369920.
The greatest common factor of 6513/256,7450/2890 = [GCF of 6513,7450]/[LCM of 256,2890]= 1/369920
Therefore, the GCF of 6513/256,7450/2890 is 1/369920.
To find the highest common factor of 6513,7450, we have to find the factors of both numbers and list the highest common factor.
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The HCF of 6513,7450 is 1.
Lets's calculate GCF of 6513,7450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6513,7450 By Matching Biggest Common Factor Method
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 6513,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,7450 is 1.
Lets's calculate LCM of 256,2890
| 2 | 256, 2890 |
| 128, 1445 |
∴ So the LCM of the given numbers is 2 x 128 x 1445 = 369920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369920
Therefore, the GCF of Fractions 6513/256,7450/2890 is 1/369920
Least Common Multiple of 256,2890 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 256,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,2890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,2890) x common factors =2 x 1 = 2
LCM(256,2890) = ( 256 × 2890 ) / 2
LCM(256,2890) = 739840 / 2
LCM(256,2890) = 369920
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FAQs on GCF of Fractions of 6513/256, 7450/2890
1. What is the HCF of 6513,7450?
The HCF of 6513,7450 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 6513/256, 7450/2890?
Answer: GCF of Numerators as per given numbers 6513/256, 7450/2890 is
GCF of Numerators i.e. for 6513,7450 is 1
LCM of denominators i.e. for 256,2890 is 369920.
Thus, GCF of Fractions is 1/369920.Finally, GCF of Fractions for 6513/256, 7450/2890 is 1/369920.