GCF of 8480/542, 9764/3064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8480/542, 9764/3064 i.e 4/830344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8480/542, 9764/3064.
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 8480/542,9764/3064?
Given fractions are 8480/542,9764/3064
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 8480/542,9764/3064, numerators are 8480,9764
Denominators are 542,3064
The GCF of 8480,9764 is 4 .
LCM of 542,3064 is 830344.
The greatest common factor of 8480/542,9764/3064 = [GCF of 8480,9764]/[LCM of 542,3064]= 4/830344
Therefore, the GCF of 8480/542,9764/3064 is 4/830344.
To find the highest common factor of 8480,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 8480,9764 is 4.
Lets's calculate GCF of 8480,9764
| 2 | 8480, 9764 |
| 2 | 4240, 4882 |
| 2120, 2441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8480,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 8480
:1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 8480,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 8480,9764 is 4.
Lets's calculate LCM of 542,3064
| 2 | 542, 3064 |
| 271, 1532 |
∴ So the LCM of the given numbers is 2 x 271 x 1532 = 830344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/830344
Therefore, the GCF of Fractions 8480/542,9764/3064 is 4/830344
Least Common Multiple of 542,3064 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 542,3064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,3064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,3064) x common factors =2 x 1 = 2
LCM(542,3064) = ( 542 × 3064 ) / 2
LCM(542,3064) = 1660688 / 2
LCM(542,3064) = 830344
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FAQs on GCF of Fractions of 8480/542, 9764/3064
1. What is the HCF of 8480,9764?
The HCF of 8480,9764 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 8480/542, 9764/3064?
Answer: GCF of Numerators as per given numbers 8480/542, 9764/3064 is
GCF of Numerators i.e. for 8480,9764 is 4
LCM of denominators i.e. for 542,3064 is 830344.
Thus, GCF of Fractions is 4/830344.Finally, GCF of Fractions for 8480/542, 9764/3064 is 4/830344.