GCF of 6530/762, 6511/7647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6530/762, 6511/7647 i.e 1/1942338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6530/762, 6511/7647.
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 6530/762,6511/7647?
Given fractions are 6530/762,6511/7647
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 6530/762,6511/7647, numerators are 6530,6511
Denominators are 762,7647
The GCF of 6530,6511 is 1 .
LCM of 762,7647 is 1942338.
The greatest common factor of 6530/762,6511/7647 = [GCF of 6530,6511]/[LCM of 762,7647]= 1/1942338
Therefore, the GCF of 6530/762,6511/7647 is 1/1942338.
To find the highest common factor of 6530,6511, we have to find the factors of both numbers and list the highest common factor.
The factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530
The factors of 6511 are 1, 17, 383, 6511
The HCF of 6530,6511 is 1.
Lets's calculate GCF of 6530,6511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6530,6511 By Matching Biggest Common Factor Method
Now, list down the factors of 6530
:1,2,5,10,653,1306,3265,6530
Now, list down the factors of 6511
:1,17,383,6511
Greatest Common Factor
We found the factors 6530,6511 . The biggest common factor number is the GCF number.
So the greatest common factor 6530,6511 is 1.
Lets's calculate LCM of 762,7647
| 3 | 762, 7647 |
| 254, 2549 |
∴ So the LCM of the given numbers is 3 x 254 x 2549 = 1942338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1942338
Therefore, the GCF of Fractions 6530/762,6511/7647 is 1/1942338
Least Common Multiple of 762,7647 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 762,7647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,7647) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,7647) x common factors =3 x 1 = 3
LCM(762,7647) = ( 762 × 7647 ) / 3
LCM(762,7647) = 5827014 / 3
LCM(762,7647) = 1942338
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FAQs on GCF of Fractions of 6530/762, 6511/7647
1. What is the HCF of 6530,6511?
The HCF of 6530,6511 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 6530/762, 6511/7647?
Answer: GCF of Numerators as per given numbers 6530/762, 6511/7647 is
GCF of Numerators i.e. for 6530,6511 is 1
LCM of denominators i.e. for 762,7647 is 1942338.
Thus, GCF of Fractions is 1/1942338.Finally, GCF of Fractions for 6530/762, 6511/7647 is 1/1942338.