GCF of 7664/420, 7960/5391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7664/420, 7960/5391 i.e 8/754740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7664/420, 7960/5391.
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 7664/420,7960/5391?
Given fractions are 7664/420,7960/5391
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 7664/420,7960/5391, numerators are 7664,7960
Denominators are 420,5391
The GCF of 7664,7960 is 8 .
LCM of 420,5391 is 754740.
The greatest common factor of 7664/420,7960/5391 = [GCF of 7664,7960]/[LCM of 420,5391]= 8/754740
Therefore, the GCF of 7664/420,7960/5391 is 8/754740.
To find the highest common factor of 7664,7960, 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 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960
The HCF of 7664,7960 is 8.
Lets's calculate GCF of 7664,7960
| 2 | 7664, 7960 |
| 2 | 3832, 3980 |
| 2 | 1916, 1990 |
| 958, 995 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7664,7960 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 7960
:1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960
Greatest Common Factor
We found the factors 7664,7960 . The biggest common factor number is the GCF number.
So the greatest common factor 7664,7960 is 8.
Lets's calculate LCM of 420,5391
| 3 | 420, 5391 |
| 140, 1797 |
∴ So the LCM of the given numbers is 3 x 140 x 1797 = 754740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/754740
Therefore, the GCF of Fractions 7664/420,7960/5391 is 8/754740
Least Common Multiple of 420,5391 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 420,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5391) x common factors =3 x 1 = 3
LCM(420,5391) = ( 420 × 5391 ) / 3
LCM(420,5391) = 2264220 / 3
LCM(420,5391) = 754740
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FAQs on GCF of Fractions of 7664/420, 7960/5391
1. What is the HCF of 7664,7960?
The HCF of 7664,7960 is 8
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 7664/420, 7960/5391?
Answer: GCF of Numerators as per given numbers 7664/420, 7960/5391 is
GCF of Numerators i.e. for 7664,7960 is 8
LCM of denominators i.e. for 420,5391 is 754740.
Thus, GCF of Fractions is 8/754740.Finally, GCF of Fractions for 7664/420, 7960/5391 is 8/754740.