GCF of 8224/504, 6468/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8224/504, 6468/724 i.e 4/91224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8224/504, 6468/724.
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 8224/504,6468/724?
Given fractions are 8224/504,6468/724
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 8224/504,6468/724, numerators are 8224,6468
Denominators are 504,724
The GCF of 8224,6468 is 4 .
LCM of 504,724 is 91224.
The greatest common factor of 8224/504,6468/724 = [GCF of 8224,6468]/[LCM of 504,724]= 4/91224
Therefore, the GCF of 8224/504,6468/724 is 4/91224.
To find the highest common factor of 8224,6468, we have to find the factors of both numbers and list the highest common factor.
The factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224
The factors of 6468 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468
The HCF of 8224,6468 is 4.
Lets's calculate GCF of 8224,6468
| 2 | 8224, 6468 |
| 2 | 4112, 3234 |
| 2056, 1617 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8224,6468 By Matching Biggest Common Factor Method
Now, list down the factors of 8224
:1,2,4,8,16,32,257,514,1028,2056,4112,8224
Now, list down the factors of 6468
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Greatest Common Factor
We found the factors 8224,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,6468 is 4.
Lets's calculate LCM of 504,724
| 2 | 504, 724 |
| 2 | 252, 362 |
| 126, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 126 x 181 = 91224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91224
Therefore, the GCF of Fractions 8224/504,6468/724 is 4/91224
Least Common Multiple of 504,724 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 504,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(504,724) x common factors =4 x 1 = 4
LCM(504,724) = ( 504 × 724 ) / 4
LCM(504,724) = 364896 / 4
LCM(504,724) = 91224
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FAQs on GCF of Fractions of 8224/504, 6468/724
1. What is the HCF of 8224,6468?
The HCF of 8224,6468 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 8224/504, 6468/724?
Answer: GCF of Numerators as per given numbers 8224/504, 6468/724 is
GCF of Numerators i.e. for 8224,6468 is 4
LCM of denominators i.e. for 504,724 is 91224.
Thus, GCF of Fractions is 4/91224.Finally, GCF of Fractions for 8224/504, 6468/724 is 4/91224.