GCF of 9445/854, 2100/6504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9445/854, 2100/6504 i.e 5/2777208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9445/854, 2100/6504.
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 9445/854,2100/6504?
Given fractions are 9445/854,2100/6504
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 9445/854,2100/6504, numerators are 9445,2100
Denominators are 854,6504
The GCF of 9445,2100 is 5 .
LCM of 854,6504 is 2777208.
The greatest common factor of 9445/854,2100/6504 = [GCF of 9445,2100]/[LCM of 854,6504]= 5/2777208
Therefore, the GCF of 9445/854,2100/6504 is 5/2777208.
To find the highest common factor of 9445,2100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9445 are 1, 5, 1889, 9445
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The HCF of 9445,2100 is 5.
Lets's calculate GCF of 9445,2100
| 5 | 9445, 2100 |
| 1889, 420 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9445,2100 By Matching Biggest Common Factor Method
Now, list down the factors of 9445
:1,5,1889,9445
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Greatest Common Factor
We found the factors 9445,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 9445,2100 is 5.
Lets's calculate LCM of 854,6504
| 2 | 854, 6504 |
| 427, 3252 |
∴ So the LCM of the given numbers is 2 x 427 x 3252 = 2777208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2777208
Therefore, the GCF of Fractions 9445/854,2100/6504 is 5/2777208
Least Common Multiple of 854,6504 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 854,6504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,6504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,6504) x common factors =2 x 1 = 2
LCM(854,6504) = ( 854 × 6504 ) / 2
LCM(854,6504) = 5554416 / 2
LCM(854,6504) = 2777208
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FAQs on GCF of Fractions of 9445/854, 2100/6504
1. What is the HCF of 9445,2100?
The HCF of 9445,2100 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 9445/854, 2100/6504?
Answer: GCF of Numerators as per given numbers 9445/854, 2100/6504 is
GCF of Numerators i.e. for 9445,2100 is 5
LCM of denominators i.e. for 854,6504 is 2777208.
Thus, GCF of Fractions is 5/2777208.Finally, GCF of Fractions for 9445/854, 2100/6504 is 5/2777208.