GCF of 3025/722, 6345/1422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3025/722, 6345/1422 i.e 5/513342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3025/722, 6345/1422.
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 3025/722,6345/1422?
Given fractions are 3025/722,6345/1422
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 3025/722,6345/1422, numerators are 3025,6345
Denominators are 722,1422
The GCF of 3025,6345 is 5 .
LCM of 722,1422 is 513342.
The greatest common factor of 3025/722,6345/1422 = [GCF of 3025,6345]/[LCM of 722,1422]= 5/513342
Therefore, the GCF of 3025/722,6345/1422 is 5/513342.
To find the highest common factor of 3025,6345, we have to find the factors of both numbers and list the highest common factor.
The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 3025,6345 is 5.
Lets's calculate GCF of 3025,6345
| 5 | 3025, 6345 |
| 605, 1269 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3025,6345 By Matching Biggest Common Factor Method
Now, list down the factors of 3025
:1,5,11,25,55,121,275,605,3025
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 3025,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 3025,6345 is 5.
Lets's calculate LCM of 722,1422
| 2 | 722, 1422 |
| 361, 711 |
∴ So the LCM of the given numbers is 2 x 361 x 711 = 513342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/513342
Therefore, the GCF of Fractions 3025/722,6345/1422 is 5/513342
Least Common Multiple of 722,1422 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 722,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,1422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,1422) x common factors =2 x 1 = 2
LCM(722,1422) = ( 722 × 1422 ) / 2
LCM(722,1422) = 1026684 / 2
LCM(722,1422) = 513342
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3025/722, 6345/1422
1. What is the HCF of 3025,6345?
The HCF of 3025,6345 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 3025/722, 6345/1422?
Answer: GCF of Numerators as per given numbers 3025/722, 6345/1422 is
GCF of Numerators i.e. for 3025,6345 is 5
LCM of denominators i.e. for 722,1422 is 513342.
Thus, GCF of Fractions is 5/513342.Finally, GCF of Fractions for 3025/722, 6345/1422 is 5/513342.