GCF of 9429/406, 5264/8012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9429/406, 5264/8012 i.e 7/1626436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9429/406, 5264/8012.
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 9429/406,5264/8012?
Given fractions are 9429/406,5264/8012
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 9429/406,5264/8012, numerators are 9429,5264
Denominators are 406,8012
The GCF of 9429,5264 is 7 .
LCM of 406,8012 is 1626436.
The greatest common factor of 9429/406,5264/8012 = [GCF of 9429,5264]/[LCM of 406,8012]= 7/1626436
Therefore, the GCF of 9429/406,5264/8012 is 7/1626436.
To find the highest common factor of 9429,5264, we have to find the factors of both numbers and list the highest common factor.
The factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264
The HCF of 9429,5264 is 7.
Lets's calculate GCF of 9429,5264
| 7 | 9429, 5264 |
| 1347, 752 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9429,5264 By Matching Biggest Common Factor Method
Now, list down the factors of 9429
:1,3,7,21,449,1347,3143,9429
Now, list down the factors of 5264
:1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Greatest Common Factor
We found the factors 9429,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 9429,5264 is 7.
Lets's calculate LCM of 406,8012
| 2 | 406, 8012 |
| 203, 4006 |
∴ So the LCM of the given numbers is 2 x 203 x 4006 = 1626436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1626436
Therefore, the GCF of Fractions 9429/406,5264/8012 is 7/1626436
Least Common Multiple of 406,8012 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 406,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,8012) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,8012) x common factors =2 x 1 = 2
LCM(406,8012) = ( 406 × 8012 ) / 2
LCM(406,8012) = 3252872 / 2
LCM(406,8012) = 1626436
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FAQs on GCF of Fractions of 9429/406, 5264/8012
1. What is the HCF of 9429,5264?
The HCF of 9429,5264 is 7
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 9429/406, 5264/8012?
Answer: GCF of Numerators as per given numbers 9429/406, 5264/8012 is
GCF of Numerators i.e. for 9429,5264 is 7
LCM of denominators i.e. for 406,8012 is 1626436.
Thus, GCF of Fractions is 7/1626436.Finally, GCF of Fractions for 9429/406, 5264/8012 is 7/1626436.