GCF of 7840/152, 9028/5296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7840/152, 9028/5296 i.e 4/100624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7840/152, 9028/5296.
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 7840/152,9028/5296?
Given fractions are 7840/152,9028/5296
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 7840/152,9028/5296, numerators are 7840,9028
Denominators are 152,5296
The GCF of 7840,9028 is 4 .
LCM of 152,5296 is 100624.
The greatest common factor of 7840/152,9028/5296 = [GCF of 7840,9028]/[LCM of 152,5296]= 4/100624
Therefore, the GCF of 7840/152,9028/5296 is 4/100624.
To find the highest common factor of 7840,9028, we have to find the factors of both numbers and list the highest common factor.
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The HCF of 7840,9028 is 4.
Lets's calculate GCF of 7840,9028
| 2 | 7840, 9028 |
| 2 | 3920, 4514 |
| 1960, 2257 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7840,9028 By Matching Biggest Common Factor Method
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 7840,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 7840,9028 is 4.
Lets's calculate LCM of 152,5296
| 2 | 152, 5296 |
| 2 | 76, 2648 |
| 2 | 38, 1324 |
| 19, 662 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 662 = 100624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100624
Therefore, the GCF of Fractions 7840/152,9028/5296 is 4/100624
Least Common Multiple of 152,5296 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 152,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,5296) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(152,5296) x common factors =8 x 1 = 8
LCM(152,5296) = ( 152 × 5296 ) / 8
LCM(152,5296) = 804992 / 8
LCM(152,5296) = 100624
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7840/152, 9028/5296
1. What is the HCF of 7840,9028?
The HCF of 7840,9028 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 7840/152, 9028/5296?
Answer: GCF of Numerators as per given numbers 7840/152, 9028/5296 is
GCF of Numerators i.e. for 7840,9028 is 4
LCM of denominators i.e. for 152,5296 is 100624.
Thus, GCF of Fractions is 4/100624.Finally, GCF of Fractions for 7840/152, 9028/5296 is 4/100624.