GCF of 4163/530, 7568/9222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4163/530, 7568/9222 i.e 1/46110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4163/530, 7568/9222.
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 4163/530,7568/9222?
Given fractions are 4163/530,7568/9222
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 4163/530,7568/9222, numerators are 4163,7568
Denominators are 530,9222
The GCF of 4163,7568 is 1 .
LCM of 530,9222 is 46110.
The greatest common factor of 4163/530,7568/9222 = [GCF of 4163,7568]/[LCM of 530,9222]= 1/46110
Therefore, the GCF of 4163/530,7568/9222 is 1/46110.
To find the highest common factor of 4163,7568, we have to find the factors of both numbers and list the highest common factor.
The factors of 4163 are 1, 23, 181, 4163
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The HCF of 4163,7568 is 1.
Lets's calculate GCF of 4163,7568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4163,7568 By Matching Biggest Common Factor Method
Now, list down the factors of 4163
:1,23,181,4163
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Greatest Common Factor
We found the factors 4163,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 4163,7568 is 1.
Lets's calculate LCM of 530,9222
| 2 | 530, 9222 |
| 53 | 265, 4611 |
| 5, 87 |
∴ So the LCM of the given numbers is 2 x 53 x 5 x 87 = 46110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46110
Therefore, the GCF of Fractions 4163/530,7568/9222 is 1/46110
Least Common Multiple of 530,9222 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 530,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,9222) = 106
common factors(in case of two or more numbers have common factors) = 1
GCF(530,9222) x common factors =106 x 1 = 106
LCM(530,9222) = ( 530 × 9222 ) / 106
LCM(530,9222) = 4887660 / 106
LCM(530,9222) = 46110
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FAQs on GCF of Fractions of 4163/530, 7568/9222
1. What is the HCF of 4163,7568?
The HCF of 4163,7568 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 4163/530, 7568/9222?
Answer: GCF of Numerators as per given numbers 4163/530, 7568/9222 is
GCF of Numerators i.e. for 4163,7568 is 1
LCM of denominators i.e. for 530,9222 is 46110.
Thus, GCF of Fractions is 1/46110.Finally, GCF of Fractions for 4163/530, 7568/9222 is 1/46110.