GCF of 7664/484, 8732/7718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7664/484, 8732/7718 i.e 4/1867756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7664/484, 8732/7718.
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 7664/484,8732/7718?
Given fractions are 7664/484,8732/7718
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 7664/484,8732/7718, numerators are 7664,8732
Denominators are 484,7718
The GCF of 7664,8732 is 4 .
LCM of 484,7718 is 1867756.
The greatest common factor of 7664/484,8732/7718 = [GCF of 7664,8732]/[LCM of 484,7718]= 4/1867756
Therefore, the GCF of 7664/484,8732/7718 is 4/1867756.
To find the highest common factor of 7664,8732, we have to find the factors of both numbers and list the highest common factor.
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The HCF of 7664,8732 is 4.
Lets's calculate GCF of 7664,8732
| 2 | 7664, 8732 |
| 2 | 3832, 4366 |
| 1916, 2183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7664,8732 By Matching Biggest Common Factor Method
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Greatest Common Factor
We found the factors 7664,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 7664,8732 is 4.
Lets's calculate LCM of 484,7718
| 2 | 484, 7718 |
| 242, 3859 |
∴ So the LCM of the given numbers is 2 x 242 x 3859 = 1867756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1867756
Therefore, the GCF of Fractions 7664/484,8732/7718 is 4/1867756
Least Common Multiple of 484,7718 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 484,7718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,7718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,7718) x common factors =2 x 1 = 2
LCM(484,7718) = ( 484 × 7718 ) / 2
LCM(484,7718) = 3735512 / 2
LCM(484,7718) = 1867756
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FAQs on GCF of Fractions of 7664/484, 8732/7718
1. What is the HCF of 7664,8732?
The HCF of 7664,8732 is 4
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 7664/484, 8732/7718?
Answer: GCF of Numerators as per given numbers 7664/484, 8732/7718 is
GCF of Numerators i.e. for 7664,8732 is 4
LCM of denominators i.e. for 484,7718 is 1867756.
Thus, GCF of Fractions is 4/1867756.Finally, GCF of Fractions for 7664/484, 8732/7718 is 4/1867756.