GCF of 9328/822, 9526/7430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9328/822, 9526/7430 i.e 22/3053730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9328/822, 9526/7430.
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 9328/822,9526/7430?
Given fractions are 9328/822,9526/7430
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 9328/822,9526/7430, numerators are 9328,9526
Denominators are 822,7430
The GCF of 9328,9526 is 22 .
LCM of 822,7430 is 3053730.
The greatest common factor of 9328/822,9526/7430 = [GCF of 9328,9526]/[LCM of 822,7430]= 22/3053730
Therefore, the GCF of 9328/822,9526/7430 is 22/3053730.
To find the highest common factor of 9328,9526, we have to find the factors of both numbers and list the highest common factor.
The factors of 9328 are 1, 2, 4, 8, 11, 16, 22, 44, 53, 88, 106, 176, 212, 424, 583, 848, 1166, 2332, 4664, 9328
The factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526
The HCF of 9328,9526 is 22.
Lets's calculate GCF of 9328,9526
| 2 | 9328, 9526 |
| 11 | 4664, 4763 |
| 424, 433 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9328,9526 By Matching Biggest Common Factor Method
Now, list down the factors of 9328
:1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328
Now, list down the factors of 9526
:1,2,11,22,433,866,4763,9526
Greatest Common Factor
We found the factors 9328,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 9328,9526 is 22.
Lets's calculate LCM of 822,7430
| 2 | 822, 7430 |
| 411, 3715 |
∴ So the LCM of the given numbers is 2 x 411 x 3715 = 3053730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3053730
Therefore, the GCF of Fractions 9328/822,9526/7430 is 22/3053730
Least Common Multiple of 822,7430 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 822,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7430) x common factors =2 x 1 = 2
LCM(822,7430) = ( 822 × 7430 ) / 2
LCM(822,7430) = 6107460 / 2
LCM(822,7430) = 3053730
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9328/822, 9526/7430
1. What is the HCF of 9328,9526?
The HCF of 9328,9526 is 22
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 9328/822, 9526/7430?
Answer: GCF of Numerators as per given numbers 9328/822, 9526/7430 is
GCF of Numerators i.e. for 9328,9526 is 22
LCM of denominators i.e. for 822,7430 is 3053730.
Thus, GCF of Fractions is 22/3053730.Finally, GCF of Fractions for 9328/822, 9526/7430 is 22/3053730.