GCF of 5592/168, 6768/8272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5592/168, 6768/8272 i.e 24/173712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5592/168, 6768/8272.
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 5592/168,6768/8272?
Given fractions are 5592/168,6768/8272
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 5592/168,6768/8272, numerators are 5592,6768
Denominators are 168,8272
The GCF of 5592,6768 is 24 .
LCM of 168,8272 is 173712.
The greatest common factor of 5592/168,6768/8272 = [GCF of 5592,6768]/[LCM of 168,8272]= 24/173712
Therefore, the GCF of 5592/168,6768/8272 is 24/173712.
To find the highest common factor of 5592,6768, we have to find the factors of both numbers and list the highest common factor.
The factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592
The factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768
The HCF of 5592,6768 is 24.
Lets's calculate GCF of 5592,6768
| 2 | 5592, 6768 |
| 2 | 2796, 3384 |
| 2 | 1398, 1692 |
| 3 | 699, 846 |
| 233, 282 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 5592,6768 By Matching Biggest Common Factor Method
Now, list down the factors of 5592
:1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592
Now, list down the factors of 6768
:1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 5592,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 5592,6768 is 24.
Lets's calculate LCM of 168,8272
| 2 | 168, 8272 |
| 2 | 84, 4136 |
| 2 | 42, 2068 |
| 21, 1034 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 1034 = 173712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/173712
Therefore, the GCF of Fractions 5592/168,6768/8272 is 24/173712
Least Common Multiple of 168,8272 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 168,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,8272) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(168,8272) x common factors =8 x 1 = 8
LCM(168,8272) = ( 168 × 8272 ) / 8
LCM(168,8272) = 1389696 / 8
LCM(168,8272) = 173712
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5592/168, 6768/8272
1. What is the HCF of 5592,6768?
The HCF of 5592,6768 is 24
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 5592/168, 6768/8272?
Answer: GCF of Numerators as per given numbers 5592/168, 6768/8272 is
GCF of Numerators i.e. for 5592,6768 is 24
LCM of denominators i.e. for 168,8272 is 173712.
Thus, GCF of Fractions is 24/173712.Finally, GCF of Fractions for 5592/168, 6768/8272 is 24/173712.