GCF of 7629/339, 7956/5006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7629/339, 7956/5006 i.e 3/1697034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7629/339, 7956/5006.
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 7629/339,7956/5006?
Given fractions are 7629/339,7956/5006
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 7629/339,7956/5006, numerators are 7629,7956
Denominators are 339,5006
The GCF of 7629,7956 is 3 .
LCM of 339,5006 is 1697034.
The greatest common factor of 7629/339,7956/5006 = [GCF of 7629,7956]/[LCM of 339,5006]= 3/1697034
Therefore, the GCF of 7629/339,7956/5006 is 3/1697034.
To find the highest common factor of 7629,7956, we have to find the factors of both numbers and list the highest common factor.
The factors of 7629 are 1, 3, 2543, 7629
The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
The HCF of 7629,7956 is 3.
Lets's calculate GCF of 7629,7956
| 3 | 7629, 7956 |
| 2543, 2652 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7629,7956 By Matching Biggest Common Factor Method
Now, list down the factors of 7629
:1,3,2543,7629
Now, list down the factors of 7956
:1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors 7629,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 7629,7956 is 3.
Lets's calculate LCM of 339,5006
Given numbers has no common factors except 1. So, there LCM is their product i.e 1697034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1697034
Therefore, the GCF of Fractions 7629/339,7956/5006 is 3/1697034
Least Common Multiple of 339,5006 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 339,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,5006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,5006) x common factors =1 x 1 = 1
LCM(339,5006) = ( 339 × 5006 ) / 1
LCM(339,5006) = 1697034 / 1
LCM(339,5006) = 1697034
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FAQs on GCF of Fractions of 7629/339, 7956/5006
1. What is the HCF of 7629,7956?
The HCF of 7629,7956 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 7629/339, 7956/5006?
Answer: GCF of Numerators as per given numbers 7629/339, 7956/5006 is
GCF of Numerators i.e. for 7629,7956 is 3
LCM of denominators i.e. for 339,5006 is 1697034.
Thus, GCF of Fractions is 3/1697034.Finally, GCF of Fractions for 7629/339, 7956/5006 is 3/1697034.