GCF of 1395/822, 1820/7000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1395/822, 1820/7000 i.e 5/2877000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1395/822, 1820/7000.
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 1395/822,1820/7000?
Given fractions are 1395/822,1820/7000
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 1395/822,1820/7000, numerators are 1395,1820
Denominators are 822,7000
The GCF of 1395,1820 is 5 .
LCM of 822,7000 is 2877000.
The greatest common factor of 1395/822,1820/7000 = [GCF of 1395,1820]/[LCM of 822,7000]= 5/2877000
Therefore, the GCF of 1395/822,1820/7000 is 5/2877000.
To find the highest common factor of 1395,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 1395,1820 is 5.
Lets's calculate GCF of 1395,1820
| 5 | 1395, 1820 |
| 279, 364 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1395,1820 By Matching Biggest Common Factor Method
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 1395,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 1395,1820 is 5.
Lets's calculate LCM of 822,7000
| 2 | 822, 7000 |
| 411, 3500 |
∴ So the LCM of the given numbers is 2 x 411 x 3500 = 2877000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2877000
Therefore, the GCF of Fractions 1395/822,1820/7000 is 5/2877000
Least Common Multiple of 822,7000 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 822,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7000) x common factors =2 x 1 = 2
LCM(822,7000) = ( 822 × 7000 ) / 2
LCM(822,7000) = 5754000 / 2
LCM(822,7000) = 2877000
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FAQs on GCF of Fractions of 1395/822, 1820/7000
1. What is the HCF of 1395,1820?
The HCF of 1395,1820 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 1395/822, 1820/7000?
Answer: GCF of Numerators as per given numbers 1395/822, 1820/7000 is
GCF of Numerators i.e. for 1395,1820 is 5
LCM of denominators i.e. for 822,7000 is 2877000.
Thus, GCF of Fractions is 5/2877000.Finally, GCF of Fractions for 1395/822, 1820/7000 is 5/2877000.