GCF of 8924/491, 3504/3659
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8924/491, 3504/3659 i.e 4/1796569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8924/491, 3504/3659.
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 8924/491,3504/3659?
Given fractions are 8924/491,3504/3659
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 8924/491,3504/3659, numerators are 8924,3504
Denominators are 491,3659
The GCF of 8924,3504 is 4 .
LCM of 491,3659 is 1796569.
The greatest common factor of 8924/491,3504/3659 = [GCF of 8924,3504]/[LCM of 491,3659]= 4/1796569
Therefore, the GCF of 8924/491,3504/3659 is 4/1796569.
To find the highest common factor of 8924,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 8924,3504 is 4.
Lets's calculate GCF of 8924,3504
| 2 | 8924, 3504 |
| 2 | 4462, 1752 |
| 2231, 876 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8924,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 8924
:1,2,4,23,46,92,97,194,388,2231,4462,8924
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 8924,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 8924,3504 is 4.
Lets's calculate LCM of 491,3659
Given numbers has no common factors except 1. So, there LCM is their product i.e 1796569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1796569
Therefore, the GCF of Fractions 8924/491,3504/3659 is 4/1796569
Least Common Multiple of 491,3659 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 491,3659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,3659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,3659) x common factors =1 x 1 = 1
LCM(491,3659) = ( 491 × 3659 ) / 1
LCM(491,3659) = 1796569 / 1
LCM(491,3659) = 1796569
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FAQs on GCF of Fractions of 8924/491, 3504/3659
1. What is the HCF of 8924,3504?
The HCF of 8924,3504 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 8924/491, 3504/3659?
Answer: GCF of Numerators as per given numbers 8924/491, 3504/3659 is
GCF of Numerators i.e. for 8924,3504 is 4
LCM of denominators i.e. for 491,3659 is 1796569.
Thus, GCF of Fractions is 4/1796569.Finally, GCF of Fractions for 8924/491, 3504/3659 is 4/1796569.