GCF of 9800/647, 9825/2084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9800/647, 9825/2084 i.e 25/1348348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9800/647, 9825/2084.
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 9800/647,9825/2084?
Given fractions are 9800/647,9825/2084
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 9800/647,9825/2084, numerators are 9800,9825
Denominators are 647,2084
The GCF of 9800,9825 is 25 .
LCM of 647,2084 is 1348348.
The greatest common factor of 9800/647,9825/2084 = [GCF of 9800,9825]/[LCM of 647,2084]= 25/1348348
Therefore, the GCF of 9800/647,9825/2084 is 25/1348348.
To find the highest common factor of 9800,9825, we have to find the factors of both numbers and list the highest common factor.
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The HCF of 9800,9825 is 25.
Lets's calculate GCF of 9800,9825
| 5 | 9800, 9825 |
| 5 | 1960, 1965 |
| 392, 393 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9800,9825 By Matching Biggest Common Factor Method
Now, list down the factors of 9800
:1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors 9800,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,9825 is 25.
Lets's calculate LCM of 647,2084
Given numbers has no common factors except 1. So, there LCM is their product i.e 1348348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1348348
Therefore, the GCF of Fractions 9800/647,9825/2084 is 25/1348348
Least Common Multiple of 647,2084 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 647,2084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,2084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,2084) x common factors =1 x 1 = 1
LCM(647,2084) = ( 647 × 2084 ) / 1
LCM(647,2084) = 1348348 / 1
LCM(647,2084) = 1348348
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FAQs on GCF of Fractions of 9800/647, 9825/2084
1. What is the HCF of 9800,9825?
The HCF of 9800,9825 is 25
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 9800/647, 9825/2084?
Answer: GCF of Numerators as per given numbers 9800/647, 9825/2084 is
GCF of Numerators i.e. for 9800,9825 is 25
LCM of denominators i.e. for 647,2084 is 1348348.
Thus, GCF of Fractions is 25/1348348.Finally, GCF of Fractions for 9800/647, 9825/2084 is 25/1348348.