GCF of 3608/188, 7548/5538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3608/188, 7548/5538 i.e 4/520572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3608/188, 7548/5538.
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 3608/188,7548/5538?
Given fractions are 3608/188,7548/5538
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 3608/188,7548/5538, numerators are 3608,7548
Denominators are 188,5538
The GCF of 3608,7548 is 4 .
LCM of 188,5538 is 520572.
The greatest common factor of 3608/188,7548/5538 = [GCF of 3608,7548]/[LCM of 188,5538]= 4/520572
Therefore, the GCF of 3608/188,7548/5538 is 4/520572.
To find the highest common factor of 3608,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 3608,7548 is 4.
Lets's calculate GCF of 3608,7548
| 2 | 3608, 7548 |
| 2 | 1804, 3774 |
| 902, 1887 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3608,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 3608
:1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 3608,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 3608,7548 is 4.
Lets's calculate LCM of 188,5538
| 2 | 188, 5538 |
| 94, 2769 |
∴ So the LCM of the given numbers is 2 x 94 x 2769 = 520572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/520572
Therefore, the GCF of Fractions 3608/188,7548/5538 is 4/520572
Least Common Multiple of 188,5538 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 188,5538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,5538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,5538) x common factors =2 x 1 = 2
LCM(188,5538) = ( 188 × 5538 ) / 2
LCM(188,5538) = 1041144 / 2
LCM(188,5538) = 520572
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FAQs on GCF of Fractions of 3608/188, 7548/5538
1. What is the HCF of 3608,7548?
The HCF of 3608,7548 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 3608/188, 7548/5538?
Answer: GCF of Numerators as per given numbers 3608/188, 7548/5538 is
GCF of Numerators i.e. for 3608,7548 is 4
LCM of denominators i.e. for 188,5538 is 520572.
Thus, GCF of Fractions is 4/520572.Finally, GCF of Fractions for 3608/188, 7548/5538 is 4/520572.