GCF of 1608/504, 6924/2123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1608/504, 6924/2123 i.e 12/1069992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1608/504, 6924/2123.
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 1608/504,6924/2123?
Given fractions are 1608/504,6924/2123
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 1608/504,6924/2123, numerators are 1608,6924
Denominators are 504,2123
The GCF of 1608,6924 is 12 .
LCM of 504,2123 is 1069992.
The greatest common factor of 1608/504,6924/2123 = [GCF of 1608,6924]/[LCM of 504,2123]= 12/1069992
Therefore, the GCF of 1608/504,6924/2123 is 12/1069992.
To find the highest common factor of 1608,6924, we have to find the factors of both numbers and list the highest common factor.
The factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
The factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
The HCF of 1608,6924 is 12.
Lets's calculate GCF of 1608,6924
| 2 | 1608, 6924 |
| 2 | 804, 3462 |
| 3 | 402, 1731 |
| 134, 577 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1608,6924 By Matching Biggest Common Factor Method
Now, list down the factors of 1608
:1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Now, list down the factors of 6924
:1,2,3,4,6,12,577,1154,1731,2308,3462,6924
Greatest Common Factor
We found the factors 1608,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 1608,6924 is 12.
Lets's calculate LCM of 504,2123
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1069992
Therefore, the GCF of Fractions 1608/504,6924/2123 is 12/1069992
Least Common Multiple of 504,2123 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 504,2123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,2123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,2123) x common factors =1 x 1 = 1
LCM(504,2123) = ( 504 × 2123 ) / 1
LCM(504,2123) = 1069992 / 1
LCM(504,2123) = 1069992
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FAQs on GCF of Fractions of 1608/504, 6924/2123
1. What is the HCF of 1608,6924?
The HCF of 1608,6924 is 12
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 1608/504, 6924/2123?
Answer: GCF of Numerators as per given numbers 1608/504, 6924/2123 is
GCF of Numerators i.e. for 1608,6924 is 12
LCM of denominators i.e. for 504,2123 is 1069992.
Thus, GCF of Fractions is 12/1069992.Finally, GCF of Fractions for 1608/504, 6924/2123 is 12/1069992.