GCF of 5920/322, 9404/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5920/322, 9404/672 i.e 4/15456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5920/322, 9404/672.
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 5920/322,9404/672?
Given fractions are 5920/322,9404/672
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 5920/322,9404/672, numerators are 5920,9404
Denominators are 322,672
The GCF of 5920,9404 is 4 .
LCM of 322,672 is 15456.
The greatest common factor of 5920/322,9404/672 = [GCF of 5920,9404]/[LCM of 322,672]= 4/15456
Therefore, the GCF of 5920/322,9404/672 is 4/15456.
To find the highest common factor of 5920,9404, we have to find the factors of both numbers and list the highest common factor.
The factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
The factors of 9404 are 1, 2, 4, 2351, 4702, 9404
The HCF of 5920,9404 is 4.
Lets's calculate GCF of 5920,9404
| 2 | 5920, 9404 |
| 2 | 2960, 4702 |
| 1480, 2351 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5920,9404 By Matching Biggest Common Factor Method
Now, list down the factors of 5920
:1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Now, list down the factors of 9404
:1,2,4,2351,4702,9404
Greatest Common Factor
We found the factors 5920,9404 . The biggest common factor number is the GCF number.
So the greatest common factor 5920,9404 is 4.
Lets's calculate LCM of 322,672
| 2 | 322, 672 |
| 7 | 161, 336 |
| 23, 48 |
∴ So the LCM of the given numbers is 2 x 7 x 23 x 48 = 15456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15456
Therefore, the GCF of Fractions 5920/322,9404/672 is 4/15456
Least Common Multiple of 322,672 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 322,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,672) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(322,672) x common factors =14 x 1 = 14
LCM(322,672) = ( 322 × 672 ) / 14
LCM(322,672) = 216384 / 14
LCM(322,672) = 15456
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FAQs on GCF of Fractions of 5920/322, 9404/672
1. What is the HCF of 5920,9404?
The HCF of 5920,9404 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 5920/322, 9404/672?
Answer: GCF of Numerators as per given numbers 5920/322, 9404/672 is
GCF of Numerators i.e. for 5920,9404 is 4
LCM of denominators i.e. for 322,672 is 15456.
Thus, GCF of Fractions is 4/15456.Finally, GCF of Fractions for 5920/322, 9404/672 is 4/15456.