GCF of 7654/520, 8366/9216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7654/520, 8366/9216 i.e 178/599040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7654/520, 8366/9216.
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 7654/520,8366/9216?
Given fractions are 7654/520,8366/9216
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 7654/520,8366/9216, numerators are 7654,8366
Denominators are 520,9216
The GCF of 7654,8366 is 178 .
LCM of 520,9216 is 599040.
The greatest common factor of 7654/520,8366/9216 = [GCF of 7654,8366]/[LCM of 520,9216]= 178/599040
Therefore, the GCF of 7654/520,8366/9216 is 178/599040.
To find the highest common factor of 7654,8366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366
The HCF of 7654,8366 is 178.
Lets's calculate GCF of 7654,8366
| 2 | 7654, 8366 |
| 89 | 3827, 4183 |
| 43, 47 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Greatest Common Factor of 7654,8366 By Matching Biggest Common Factor Method
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Now, list down the factors of 8366
:1,2,47,89,94,178,4183,8366
Greatest Common Factor
We found the factors 7654,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 7654,8366 is 178.
Lets's calculate LCM of 520,9216
| 2 | 520, 9216 |
| 2 | 260, 4608 |
| 2 | 130, 2304 |
| 65, 1152 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 1152 = 599040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 178/599040
Therefore, the GCF of Fractions 7654/520,8366/9216 is 178/599040
Least Common Multiple of 520,9216 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 520,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,9216) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(520,9216) x common factors =8 x 1 = 8
LCM(520,9216) = ( 520 × 9216 ) / 8
LCM(520,9216) = 4792320 / 8
LCM(520,9216) = 599040
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FAQs on GCF of Fractions of 7654/520, 8366/9216
1. What is the HCF of 7654,8366?
The HCF of 7654,8366 is 178
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 7654/520, 8366/9216?
Answer: GCF of Numerators as per given numbers 7654/520, 8366/9216 is
GCF of Numerators i.e. for 7654,8366 is 178
LCM of denominators i.e. for 520,9216 is 599040.
Thus, GCF of Fractions is 178/599040.Finally, GCF of Fractions for 7654/520, 8366/9216 is 178/599040.