GCF of 9104/420, 4928/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9104/420, 4928/709 i.e 16/297780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9104/420, 4928/709.
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 9104/420,4928/709?
Given fractions are 9104/420,4928/709
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 9104/420,4928/709, numerators are 9104,4928
Denominators are 420,709
The GCF of 9104,4928 is 16 .
LCM of 420,709 is 297780.
The greatest common factor of 9104/420,4928/709 = [GCF of 9104,4928]/[LCM of 420,709]= 16/297780
Therefore, the GCF of 9104/420,4928/709 is 16/297780.
To find the highest common factor of 9104,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 9104,4928 is 16.
Lets's calculate GCF of 9104,4928
| 2 | 9104, 4928 |
| 2 | 4552, 2464 |
| 2 | 2276, 1232 |
| 2 | 1138, 616 |
| 569, 308 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9104,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 9104
:1,2,4,8,16,569,1138,2276,4552,9104
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 9104,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 9104,4928 is 16.
Lets's calculate LCM of 420,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 297780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/297780
Therefore, the GCF of Fractions 9104/420,4928/709 is 16/297780
Least Common Multiple of 420,709 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 420,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,709) x common factors =1 x 1 = 1
LCM(420,709) = ( 420 × 709 ) / 1
LCM(420,709) = 297780 / 1
LCM(420,709) = 297780
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FAQs on GCF of Fractions of 9104/420, 4928/709
1. What is the HCF of 9104,4928?
The HCF of 9104,4928 is 16
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 9104/420, 4928/709?
Answer: GCF of Numerators as per given numbers 9104/420, 4928/709 is
GCF of Numerators i.e. for 9104,4928 is 16
LCM of denominators i.e. for 420,709 is 297780.
Thus, GCF of Fractions is 16/297780.Finally, GCF of Fractions for 9104/420, 4928/709 is 16/297780.