GCF of 9356/734, 8124/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9356/734, 8124/478 i.e 4/175426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9356/734, 8124/478.
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 9356/734,8124/478?
Given fractions are 9356/734,8124/478
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 9356/734,8124/478, numerators are 9356,8124
Denominators are 734,478
The GCF of 9356,8124 is 4 .
LCM of 734,478 is 175426.
The greatest common factor of 9356/734,8124/478 = [GCF of 9356,8124]/[LCM of 734,478]= 4/175426
Therefore, the GCF of 9356/734,8124/478 is 4/175426.
To find the highest common factor of 9356,8124, we have to find the factors of both numbers and list the highest common factor.
The factors of 9356 are 1, 2, 4, 2339, 4678, 9356
The factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124
The HCF of 9356,8124 is 4.
Lets's calculate GCF of 9356,8124
| 2 | 9356, 8124 |
| 2 | 4678, 4062 |
| 2339, 2031 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9356,8124 By Matching Biggest Common Factor Method
Now, list down the factors of 9356
:1,2,4,2339,4678,9356
Now, list down the factors of 8124
:1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Greatest Common Factor
We found the factors 9356,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,8124 is 4.
Lets's calculate LCM of 734,478
| 2 | 734, 478 |
| 367, 239 |
∴ So the LCM of the given numbers is 2 x 367 x 239 = 175426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/175426
Therefore, the GCF of Fractions 9356/734,8124/478 is 4/175426
Least Common Multiple of 734,478 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 734,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,478) x common factors =2 x 1 = 2
LCM(734,478) = ( 734 × 478 ) / 2
LCM(734,478) = 350852 / 2
LCM(734,478) = 175426
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FAQs on GCF of Fractions of 9356/734, 8124/478
1. What is the HCF of 9356,8124?
The HCF of 9356,8124 is 4
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 9356/734, 8124/478?
Answer: GCF of Numerators as per given numbers 9356/734, 8124/478 is
GCF of Numerators i.e. for 9356,8124 is 4
LCM of denominators i.e. for 734,478 is 175426.
Thus, GCF of Fractions is 4/175426.Finally, GCF of Fractions for 9356/734, 8124/478 is 4/175426.