GCF of 7020/840, 8185/833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7020/840, 8185/833 i.e 5/99960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7020/840, 8185/833.
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 7020/840,8185/833?
Given fractions are 7020/840,8185/833
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 7020/840,8185/833, numerators are 7020,8185
Denominators are 840,833
The GCF of 7020,8185 is 5 .
LCM of 840,833 is 99960.
The greatest common factor of 7020/840,8185/833 = [GCF of 7020,8185]/[LCM of 840,833]= 5/99960
Therefore, the GCF of 7020/840,8185/833 is 5/99960.
To find the highest common factor of 7020,8185, we have to find the factors of both numbers and list the highest common factor.
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The factors of 8185 are 1, 5, 1637, 8185
The HCF of 7020,8185 is 5.
Lets's calculate GCF of 7020,8185
| 5 | 7020, 8185 |
| 1404, 1637 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7020,8185 By Matching Biggest Common Factor Method
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Now, list down the factors of 8185
:1,5,1637,8185
Greatest Common Factor
We found the factors 7020,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,8185 is 5.
Lets's calculate LCM of 840,833
| 7 | 840, 833 |
| 120, 119 |
∴ So the LCM of the given numbers is 7 x 120 x 119 = 99960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/99960
Therefore, the GCF of Fractions 7020/840,8185/833 is 5/99960
Least Common Multiple of 840,833 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 840,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,833) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(840,833) x common factors =7 x 1 = 7
LCM(840,833) = ( 840 × 833 ) / 7
LCM(840,833) = 699720 / 7
LCM(840,833) = 99960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7020/840, 8185/833
1. What is the HCF of 7020,8185?
The HCF of 7020,8185 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 7020/840, 8185/833?
Answer: GCF of Numerators as per given numbers 7020/840, 8185/833 is
GCF of Numerators i.e. for 7020,8185 is 5
LCM of denominators i.e. for 840,833 is 99960.
Thus, GCF of Fractions is 5/99960.Finally, GCF of Fractions for 7020/840, 8185/833 is 5/99960.