GCF of 7624/339, 3314/6345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7624/339, 3314/6345 i.e 2/716985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7624/339, 3314/6345.
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 7624/339,3314/6345?
Given fractions are 7624/339,3314/6345
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 7624/339,3314/6345, numerators are 7624,3314
Denominators are 339,6345
The GCF of 7624,3314 is 2 .
LCM of 339,6345 is 716985.
The greatest common factor of 7624/339,3314/6345 = [GCF of 7624,3314]/[LCM of 339,6345]= 2/716985
Therefore, the GCF of 7624/339,3314/6345 is 2/716985.
To find the highest common factor of 7624,3314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624
The factors of 3314 are 1, 2, 1657, 3314
The HCF of 7624,3314 is 2.
Lets's calculate GCF of 7624,3314
| 2 | 7624, 3314 |
| 3812, 1657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7624,3314 By Matching Biggest Common Factor Method
Now, list down the factors of 7624
:1,2,4,8,953,1906,3812,7624
Now, list down the factors of 3314
:1,2,1657,3314
Greatest Common Factor
We found the factors 7624,3314 . The biggest common factor number is the GCF number.
So the greatest common factor 7624,3314 is 2.
Lets's calculate LCM of 339,6345
| 3 | 339, 6345 |
| 113, 2115 |
∴ So the LCM of the given numbers is 3 x 113 x 2115 = 716985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/716985
Therefore, the GCF of Fractions 7624/339,3314/6345 is 2/716985
Least Common Multiple of 339,6345 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 339,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,6345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,6345) x common factors =3 x 1 = 3
LCM(339,6345) = ( 339 × 6345 ) / 3
LCM(339,6345) = 2150955 / 3
LCM(339,6345) = 716985
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FAQs on GCF of Fractions of 7624/339, 3314/6345
1. What is the HCF of 7624,3314?
The HCF of 7624,3314 is 2
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 7624/339, 3314/6345?
Answer: GCF of Numerators as per given numbers 7624/339, 3314/6345 is
GCF of Numerators i.e. for 7624,3314 is 2
LCM of denominators i.e. for 339,6345 is 716985.
Thus, GCF of Fractions is 2/716985.Finally, GCF of Fractions for 7624/339, 3314/6345 is 2/716985.