GCF of 7684/898, 9524/1188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7684/898, 9524/1188 i.e 4/533412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7684/898, 9524/1188.
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 7684/898,9524/1188?
Given fractions are 7684/898,9524/1188
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 7684/898,9524/1188, numerators are 7684,9524
Denominators are 898,1188
The GCF of 7684,9524 is 4 .
LCM of 898,1188 is 533412.
The greatest common factor of 7684/898,9524/1188 = [GCF of 7684,9524]/[LCM of 898,1188]= 4/533412
Therefore, the GCF of 7684/898,9524/1188 is 4/533412.
To find the highest common factor of 7684,9524, we have to find the factors of both numbers and list the highest common factor.
The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The HCF of 7684,9524 is 4.
Lets's calculate GCF of 7684,9524
| 2 | 7684, 9524 |
| 2 | 3842, 4762 |
| 1921, 2381 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7684,9524 By Matching Biggest Common Factor Method
Now, list down the factors of 7684
:1,2,4,17,34,68,113,226,452,1921,3842,7684
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Greatest Common Factor
We found the factors 7684,9524 . The biggest common factor number is the GCF number.
So the greatest common factor 7684,9524 is 4.
Lets's calculate LCM of 898,1188
| 2 | 898, 1188 |
| 449, 594 |
∴ So the LCM of the given numbers is 2 x 449 x 594 = 533412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/533412
Therefore, the GCF of Fractions 7684/898,9524/1188 is 4/533412
Least Common Multiple of 898,1188 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 898,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,1188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,1188) x common factors =2 x 1 = 2
LCM(898,1188) = ( 898 × 1188 ) / 2
LCM(898,1188) = 1066824 / 2
LCM(898,1188) = 533412
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7684/898, 9524/1188
1. What is the HCF of 7684,9524?
The HCF of 7684,9524 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 7684/898, 9524/1188?
Answer: GCF of Numerators as per given numbers 7684/898, 9524/1188 is
GCF of Numerators i.e. for 7684,9524 is 4
LCM of denominators i.e. for 898,1188 is 533412.
Thus, GCF of Fractions is 4/533412.Finally, GCF of Fractions for 7684/898, 9524/1188 is 4/533412.