GCF of 995/723, 840/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 995/723, 840/205 i.e 5/148215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/723, 840/205.
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 995/723,840/205?
Given fractions are 995/723,840/205
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 995/723,840/205, numerators are 995,840
Denominators are 723,205
The GCF of 995,840 is 5 .
LCM of 723,205 is 148215.
The greatest common factor of 995/723,840/205 = [GCF of 995,840]/[LCM of 723,205]= 5/148215
Therefore, the GCF of 995/723,840/205 is 5/148215.
To find the highest common factor of 995,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 995 are 1, 5, 199, 995
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 995,840 is 5.
Lets's calculate GCF of 995,840
| 5 | 995, 840 |
| 199, 168 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 995,840 By Matching Biggest Common Factor Method
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 995,840 . The biggest common factor number is the GCF number.
So the greatest common factor 995,840 is 5.
Lets's calculate LCM of 723,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 148215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/148215
Therefore, the GCF of Fractions 995/723,840/205 is 5/148215
Least Common Multiple of 723,205 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 723,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,205) x common factors =1 x 1 = 1
LCM(723,205) = ( 723 × 205 ) / 1
LCM(723,205) = 148215 / 1
LCM(723,205) = 148215
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FAQs on GCF of Fractions of 995/723, 840/205
1. What is the HCF of 995,840?
The HCF of 995,840 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 995/723, 840/205?
Answer: GCF of Numerators as per given numbers 995/723, 840/205 is
GCF of Numerators i.e. for 995,840 is 5
LCM of denominators i.e. for 723,205 is 148215.
Thus, GCF of Fractions is 5/148215.Finally, GCF of Fractions for 995/723, 840/205 is 5/148215.