GCF of 6552/153, 1152/7889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6552/153, 1152/7889 i.e 72/1207017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6552/153, 1152/7889.
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 6552/153,1152/7889?
Given fractions are 6552/153,1152/7889
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 6552/153,1152/7889, numerators are 6552,1152
Denominators are 153,7889
The GCF of 6552,1152 is 72 .
LCM of 153,7889 is 1207017.
The greatest common factor of 6552/153,1152/7889 = [GCF of 6552,1152]/[LCM of 153,7889]= 72/1207017
Therefore, the GCF of 6552/153,1152/7889 is 72/1207017.
To find the highest common factor of 6552,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 6552,1152 is 72.
Lets's calculate GCF of 6552,1152
| 2 | 6552, 1152 |
| 2 | 3276, 576 |
| 2 | 1638, 288 |
| 3 | 819, 144 |
| 3 | 273, 48 |
| 91, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 6552,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 6552
:1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 6552,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,1152 is 72.
Lets's calculate LCM of 153,7889
Given numbers has no common factors except 1. So, there LCM is their product i.e 1207017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/1207017
Therefore, the GCF of Fractions 6552/153,1152/7889 is 72/1207017
Least Common Multiple of 153,7889 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 153,7889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,7889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,7889) x common factors =1 x 1 = 1
LCM(153,7889) = ( 153 × 7889 ) / 1
LCM(153,7889) = 1207017 / 1
LCM(153,7889) = 1207017
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FAQs on GCF of Fractions of 6552/153, 1152/7889
1. What is the HCF of 6552,1152?
The HCF of 6552,1152 is 72
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 6552/153, 1152/7889?
Answer: GCF of Numerators as per given numbers 6552/153, 1152/7889 is
GCF of Numerators i.e. for 6552,1152 is 72
LCM of denominators i.e. for 153,7889 is 1207017.
Thus, GCF of Fractions is 72/1207017.Finally, GCF of Fractions for 6552/153, 1152/7889 is 72/1207017.