GCF of 4209/770, 2286/7625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4209/770, 2286/7625 i.e 3/1174250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4209/770, 2286/7625.
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 4209/770,2286/7625?
Given fractions are 4209/770,2286/7625
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 4209/770,2286/7625, numerators are 4209,2286
Denominators are 770,7625
The GCF of 4209,2286 is 3 .
LCM of 770,7625 is 1174250.
The greatest common factor of 4209/770,2286/7625 = [GCF of 4209,2286]/[LCM of 770,7625]= 3/1174250
Therefore, the GCF of 4209/770,2286/7625 is 3/1174250.
To find the highest common factor of 4209,2286, we have to find the factors of both numbers and list the highest common factor.
The factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The HCF of 4209,2286 is 3.
Lets's calculate GCF of 4209,2286
| 3 | 4209, 2286 |
| 1403, 762 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4209,2286 By Matching Biggest Common Factor Method
Now, list down the factors of 4209
:1,3,23,61,69,183,1403,4209
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Greatest Common Factor
We found the factors 4209,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 4209,2286 is 3.
Lets's calculate LCM of 770,7625
| 5 | 770, 7625 |
| 154, 1525 |
∴ So the LCM of the given numbers is 5 x 154 x 1525 = 1174250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1174250
Therefore, the GCF of Fractions 4209/770,2286/7625 is 3/1174250
Least Common Multiple of 770,7625 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 770,7625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7625) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7625) x common factors =5 x 1 = 5
LCM(770,7625) = ( 770 × 7625 ) / 5
LCM(770,7625) = 5871250 / 5
LCM(770,7625) = 1174250
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FAQs on GCF of Fractions of 4209/770, 2286/7625
1. What is the HCF of 4209,2286?
The HCF of 4209,2286 is 3
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 4209/770, 2286/7625?
Answer: GCF of Numerators as per given numbers 4209/770, 2286/7625 is
GCF of Numerators i.e. for 4209,2286 is 3
LCM of denominators i.e. for 770,7625 is 1174250.
Thus, GCF of Fractions is 3/1174250.Finally, GCF of Fractions for 4209/770, 2286/7625 is 3/1174250.