GCF of 2025/840, 5720/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2025/840, 5720/774 i.e 5/108360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2025/840, 5720/774.
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 2025/840,5720/774?
Given fractions are 2025/840,5720/774
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 2025/840,5720/774, numerators are 2025,5720
Denominators are 840,774
The GCF of 2025,5720 is 5 .
LCM of 840,774 is 108360.
The greatest common factor of 2025/840,5720/774 = [GCF of 2025,5720]/[LCM of 840,774]= 5/108360
Therefore, the GCF of 2025/840,5720/774 is 5/108360.
To find the highest common factor of 2025,5720, we have to find the factors of both numbers and list the highest common factor.
The factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025
The factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720
The HCF of 2025,5720 is 5.
Lets's calculate GCF of 2025,5720
| 5 | 2025, 5720 |
| 405, 1144 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2025,5720 By Matching Biggest Common Factor Method
Now, list down the factors of 2025
:1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Now, list down the factors of 5720
:1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720
Greatest Common Factor
We found the factors 2025,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 2025,5720 is 5.
Lets's calculate LCM of 840,774
| 2 | 840, 774 |
| 3 | 420, 387 |
| 140, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 140 x 129 = 108360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/108360
Therefore, the GCF of Fractions 2025/840,5720/774 is 5/108360
Least Common Multiple of 840,774 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 840,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,774) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(840,774) x common factors =6 x 1 = 6
LCM(840,774) = ( 840 × 774 ) / 6
LCM(840,774) = 650160 / 6
LCM(840,774) = 108360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2025/840, 5720/774
1. What is the HCF of 2025,5720?
The HCF of 2025,5720 is 5
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 2025/840, 5720/774?
Answer: GCF of Numerators as per given numbers 2025/840, 5720/774 is
GCF of Numerators i.e. for 2025,5720 is 5
LCM of denominators i.e. for 840,774 is 108360.
Thus, GCF of Fractions is 5/108360.Finally, GCF of Fractions for 2025/840, 5720/774 is 5/108360.