GCF of 6688/223, 5148/7424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6688/223, 5148/7424 i.e 44/1655552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6688/223, 5148/7424.
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 6688/223,5148/7424?
Given fractions are 6688/223,5148/7424
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 6688/223,5148/7424, numerators are 6688,5148
Denominators are 223,7424
The GCF of 6688,5148 is 44 .
LCM of 223,7424 is 1655552.
The greatest common factor of 6688/223,5148/7424 = [GCF of 6688,5148]/[LCM of 223,7424]= 44/1655552
Therefore, the GCF of 6688/223,5148/7424 is 44/1655552.
To find the highest common factor of 6688,5148, we have to find the factors of both numbers and list the highest common factor.
The factors of 6688 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The HCF of 6688,5148 is 44.
Lets's calculate GCF of 6688,5148
| 2 | 6688, 5148 |
| 2 | 3344, 2574 |
| 11 | 1672, 1287 |
| 152, 117 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 6688,5148 By Matching Biggest Common Factor Method
Now, list down the factors of 6688
:1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 6688,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 6688,5148 is 44.
Lets's calculate LCM of 223,7424
Given numbers has no common factors except 1. So, there LCM is their product i.e 1655552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/1655552
Therefore, the GCF of Fractions 6688/223,5148/7424 is 44/1655552
Least Common Multiple of 223,7424 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 223,7424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,7424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,7424) x common factors =1 x 1 = 1
LCM(223,7424) = ( 223 × 7424 ) / 1
LCM(223,7424) = 1655552 / 1
LCM(223,7424) = 1655552
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6688/223, 5148/7424
1. What is the HCF of 6688,5148?
The HCF of 6688,5148 is 44
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 6688/223, 5148/7424?
Answer: GCF of Numerators as per given numbers 6688/223, 5148/7424 is
GCF of Numerators i.e. for 6688,5148 is 44
LCM of denominators i.e. for 223,7424 is 1655552.
Thus, GCF of Fractions is 44/1655552.Finally, GCF of Fractions for 6688/223, 5148/7424 is 44/1655552.