GCF of 7360/231, 2920/8024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7360/231, 2920/8024 i.e 40/1853544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7360/231, 2920/8024.
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 7360/231,2920/8024?
Given fractions are 7360/231,2920/8024
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 7360/231,2920/8024, numerators are 7360,2920
Denominators are 231,8024
The GCF of 7360,2920 is 40 .
LCM of 231,8024 is 1853544.
The greatest common factor of 7360/231,2920/8024 = [GCF of 7360,2920]/[LCM of 231,8024]= 40/1853544
Therefore, the GCF of 7360/231,2920/8024 is 40/1853544.
To find the highest common factor of 7360,2920, we have to find the factors of both numbers and list the highest common factor.
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920
The HCF of 7360,2920 is 40.
Lets's calculate GCF of 7360,2920
| 2 | 7360, 2920 |
| 2 | 3680, 1460 |
| 2 | 1840, 730 |
| 5 | 920, 365 |
| 184, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 7360,2920 By Matching Biggest Common Factor Method
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Now, list down the factors of 2920
:1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920
Greatest Common Factor
We found the factors 7360,2920 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,2920 is 40.
Lets's calculate LCM of 231,8024
Given numbers has no common factors except 1. So, there LCM is their product i.e 1853544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/1853544
Therefore, the GCF of Fractions 7360/231,2920/8024 is 40/1853544
Least Common Multiple of 231,8024 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 231,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,8024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,8024) x common factors =1 x 1 = 1
LCM(231,8024) = ( 231 × 8024 ) / 1
LCM(231,8024) = 1853544 / 1
LCM(231,8024) = 1853544
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FAQs on GCF of Fractions of 7360/231, 2920/8024
1. What is the HCF of 7360,2920?
The HCF of 7360,2920 is 40
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 7360/231, 2920/8024?
Answer: GCF of Numerators as per given numbers 7360/231, 2920/8024 is
GCF of Numerators i.e. for 7360,2920 is 40
LCM of denominators i.e. for 231,8024 is 1853544.
Thus, GCF of Fractions is 40/1853544.Finally, GCF of Fractions for 7360/231, 2920/8024 is 40/1853544.