GCF of 6350/621, 2275/7613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6350/621, 2275/7613 i.e 25/205551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6350/621, 2275/7613.
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 6350/621,2275/7613?
Given fractions are 6350/621,2275/7613
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 6350/621,2275/7613, numerators are 6350,2275
Denominators are 621,7613
The GCF of 6350,2275 is 25 .
LCM of 621,7613 is 205551.
The greatest common factor of 6350/621,2275/7613 = [GCF of 6350,2275]/[LCM of 621,7613]= 25/205551
Therefore, the GCF of 6350/621,2275/7613 is 25/205551.
To find the highest common factor of 6350,2275, we have to find the factors of both numbers and list the highest common factor.
The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350
The factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
The HCF of 6350,2275 is 25.
Lets's calculate GCF of 6350,2275
| 5 | 6350, 2275 |
| 5 | 1270, 455 |
| 254, 91 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6350,2275 By Matching Biggest Common Factor Method
Now, list down the factors of 6350
:1,2,5,10,25,50,127,254,635,1270,3175,6350
Now, list down the factors of 2275
:1,5,7,13,25,35,65,91,175,325,455,2275
Greatest Common Factor
We found the factors 6350,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 6350,2275 is 25.
Lets's calculate LCM of 621,7613
| 23 | 621, 7613 |
| 27, 331 |
∴ So the LCM of the given numbers is 23 x 27 x 331 = 205551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/205551
Therefore, the GCF of Fractions 6350/621,2275/7613 is 25/205551
Least Common Multiple of 621,7613 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 621,7613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,7613) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(621,7613) x common factors =23 x 1 = 23
LCM(621,7613) = ( 621 × 7613 ) / 23
LCM(621,7613) = 4727673 / 23
LCM(621,7613) = 205551
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6350/621, 2275/7613
1. What is the HCF of 6350,2275?
The HCF of 6350,2275 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 6350/621, 2275/7613?
Answer: GCF of Numerators as per given numbers 6350/621, 2275/7613 is
GCF of Numerators i.e. for 6350,2275 is 25
LCM of denominators i.e. for 621,7613 is 205551.
Thus, GCF of Fractions is 25/205551.Finally, GCF of Fractions for 6350/621, 2275/7613 is 25/205551.