GCF of 7956/409, 7029/4685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7956/409, 7029/4685 i.e 9/1916165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7956/409, 7029/4685.
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 7956/409,7029/4685?
Given fractions are 7956/409,7029/4685
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 7956/409,7029/4685, numerators are 7956,7029
Denominators are 409,4685
The GCF of 7956,7029 is 9 .
LCM of 409,4685 is 1916165.
The greatest common factor of 7956/409,7029/4685 = [GCF of 7956,7029]/[LCM of 409,4685]= 9/1916165
Therefore, the GCF of 7956/409,7029/4685 is 9/1916165.
To find the highest common factor of 7956,7029, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The HCF of 7956,7029 is 9.
Lets's calculate GCF of 7956,7029
| 3 | 7956, 7029 |
| 3 | 2652, 2343 |
| 884, 781 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7956,7029 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 7956,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 7956,7029 is 9.
Lets's calculate LCM of 409,4685
Given numbers has no common factors except 1. So, there LCM is their product i.e 1916165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1916165
Therefore, the GCF of Fractions 7956/409,7029/4685 is 9/1916165
Least Common Multiple of 409,4685 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 409,4685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,4685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,4685) x common factors =1 x 1 = 1
LCM(409,4685) = ( 409 × 4685 ) / 1
LCM(409,4685) = 1916165 / 1
LCM(409,4685) = 1916165
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FAQs on GCF of Fractions of 7956/409, 7029/4685
1. What is the HCF of 7956,7029?
The HCF of 7956,7029 is 9
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 7956/409, 7029/4685?
Answer: GCF of Numerators as per given numbers 7956/409, 7029/4685 is
GCF of Numerators i.e. for 7956,7029 is 9
LCM of denominators i.e. for 409,4685 is 1916165.
Thus, GCF of Fractions is 9/1916165.Finally, GCF of Fractions for 7956/409, 7029/4685 is 9/1916165.