GCF of 8476/408, 4396/7805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8476/408, 4396/7805 i.e 4/3184440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8476/408, 4396/7805.
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 8476/408,4396/7805?
Given fractions are 8476/408,4396/7805
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 8476/408,4396/7805, numerators are 8476,4396
Denominators are 408,7805
The GCF of 8476,4396 is 4 .
LCM of 408,7805 is 3184440.
The greatest common factor of 8476/408,4396/7805 = [GCF of 8476,4396]/[LCM of 408,7805]= 4/3184440
Therefore, the GCF of 8476/408,4396/7805 is 4/3184440.
To find the highest common factor of 8476,4396, we have to find the factors of both numbers and list the highest common factor.
The factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476
The factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396
The HCF of 8476,4396 is 4.
Lets's calculate GCF of 8476,4396
| 2 | 8476, 4396 |
| 2 | 4238, 2198 |
| 2119, 1099 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8476,4396 By Matching Biggest Common Factor Method
Now, list down the factors of 8476
:1,2,4,13,26,52,163,326,652,2119,4238,8476
Now, list down the factors of 4396
:1,2,4,7,14,28,157,314,628,1099,2198,4396
Greatest Common Factor
We found the factors 8476,4396 . The biggest common factor number is the GCF number.
So the greatest common factor 8476,4396 is 4.
Lets's calculate LCM of 408,7805
Given numbers has no common factors except 1. So, there LCM is their product i.e 3184440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3184440
Therefore, the GCF of Fractions 8476/408,4396/7805 is 4/3184440
Least Common Multiple of 408,7805 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 408,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,7805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,7805) x common factors =1 x 1 = 1
LCM(408,7805) = ( 408 × 7805 ) / 1
LCM(408,7805) = 3184440 / 1
LCM(408,7805) = 3184440
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FAQs on GCF of Fractions of 8476/408, 4396/7805
1. What is the HCF of 8476,4396?
The HCF of 8476,4396 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 8476/408, 4396/7805?
Answer: GCF of Numerators as per given numbers 8476/408, 4396/7805 is
GCF of Numerators i.e. for 8476,4396 is 4
LCM of denominators i.e. for 408,7805 is 3184440.
Thus, GCF of Fractions is 4/3184440.Finally, GCF of Fractions for 8476/408, 4396/7805 is 4/3184440.