GCF of 7519/935, 3399/6046
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7519/935, 3399/6046 i.e 103/5653010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7519/935, 3399/6046.
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 7519/935,3399/6046?
Given fractions are 7519/935,3399/6046
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 7519/935,3399/6046, numerators are 7519,3399
Denominators are 935,6046
The GCF of 7519,3399 is 103 .
LCM of 935,6046 is 5653010.
The greatest common factor of 7519/935,3399/6046 = [GCF of 7519,3399]/[LCM of 935,6046]= 103/5653010
Therefore, the GCF of 7519/935,3399/6046 is 103/5653010.
To find the highest common factor of 7519,3399, we have to find the factors of both numbers and list the highest common factor.
The factors of 7519 are 1, 73, 103, 7519
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
The HCF of 7519,3399 is 103.
Lets's calculate GCF of 7519,3399
| 103 | 7519, 3399 |
| 73, 33 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 7519,3399 By Matching Biggest Common Factor Method
Now, list down the factors of 7519
:1,73,103,7519
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
Greatest Common Factor
We found the factors 7519,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,3399 is 103.
Lets's calculate LCM of 935,6046
Given numbers has no common factors except 1. So, there LCM is their product i.e 5653010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/5653010
Therefore, the GCF of Fractions 7519/935,3399/6046 is 103/5653010
Least Common Multiple of 935,6046 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 935,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,6046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,6046) x common factors =1 x 1 = 1
LCM(935,6046) = ( 935 × 6046 ) / 1
LCM(935,6046) = 5653010 / 1
LCM(935,6046) = 5653010
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FAQs on GCF of Fractions of 7519/935, 3399/6046
1. What is the HCF of 7519,3399?
The HCF of 7519,3399 is 103
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 7519/935, 3399/6046?
Answer: GCF of Numerators as per given numbers 7519/935, 3399/6046 is
GCF of Numerators i.e. for 7519,3399 is 103
LCM of denominators i.e. for 935,6046 is 5653010.
Thus, GCF of Fractions is 103/5653010.Finally, GCF of Fractions for 7519/935, 3399/6046 is 103/5653010.