GCF of 2975/928, 9724/8812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2975/928, 9724/8812 i.e 17/2044384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2975/928, 9724/8812.
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 2975/928,9724/8812?
Given fractions are 2975/928,9724/8812
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 2975/928,9724/8812, numerators are 2975,9724
Denominators are 928,8812
The GCF of 2975,9724 is 17 .
LCM of 928,8812 is 2044384.
The greatest common factor of 2975/928,9724/8812 = [GCF of 2975,9724]/[LCM of 928,8812]= 17/2044384
Therefore, the GCF of 2975/928,9724/8812 is 17/2044384.
To find the highest common factor of 2975,9724, we have to find the factors of both numbers and list the highest common factor.
The factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The HCF of 2975,9724 is 17.
Lets's calculate GCF of 2975,9724
| 17 | 2975, 9724 |
| 175, 572 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2975,9724 By Matching Biggest Common Factor Method
Now, list down the factors of 2975
:1,5,7,17,25,35,85,119,175,425,595,2975
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 2975,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,9724 is 17.
Lets's calculate LCM of 928,8812
| 2 | 928, 8812 |
| 2 | 464, 4406 |
| 232, 2203 |
∴ So the LCM of the given numbers is 2 x 2 x 232 x 2203 = 2044384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2044384
Therefore, the GCF of Fractions 2975/928,9724/8812 is 17/2044384
Least Common Multiple of 928,8812 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 928,8812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,8812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(928,8812) x common factors =4 x 1 = 4
LCM(928,8812) = ( 928 × 8812 ) / 4
LCM(928,8812) = 8177536 / 4
LCM(928,8812) = 2044384
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2975/928, 9724/8812
1. What is the HCF of 2975,9724?
The HCF of 2975,9724 is 17
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 2975/928, 9724/8812?
Answer: GCF of Numerators as per given numbers 2975/928, 9724/8812 is
GCF of Numerators i.e. for 2975,9724 is 17
LCM of denominators i.e. for 928,8812 is 2044384.
Thus, GCF of Fractions is 17/2044384.Finally, GCF of Fractions for 2975/928, 9724/8812 is 17/2044384.