GCF of 6552/731, 1764/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6552/731, 1764/617 i.e 252/451027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6552/731, 1764/617.
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 6552/731,1764/617?
Given fractions are 6552/731,1764/617
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 6552/731,1764/617, numerators are 6552,1764
Denominators are 731,617
The GCF of 6552,1764 is 252 .
LCM of 731,617 is 451027.
The greatest common factor of 6552/731,1764/617 = [GCF of 6552,1764]/[LCM of 731,617]= 252/451027
Therefore, the GCF of 6552/731,1764/617 is 252/451027.
To find the highest common factor of 6552,1764, 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 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 6552,1764 is 252.
Lets's calculate GCF of 6552,1764
| 2 | 6552, 1764 |
| 2 | 3276, 882 |
| 3 | 1638, 441 |
| 3 | 546, 147 |
| 7 | 182, 49 |
| 26, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 7 = 252
Greatest Common Factor of 6552,1764 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 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 6552,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,1764 is 252.
Lets's calculate LCM of 731,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 451027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 252/451027
Therefore, the GCF of Fractions 6552/731,1764/617 is 252/451027
Least Common Multiple of 731,617 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 731,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,617) x common factors =1 x 1 = 1
LCM(731,617) = ( 731 × 617 ) / 1
LCM(731,617) = 451027 / 1
LCM(731,617) = 451027
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FAQs on GCF of Fractions of 6552/731, 1764/617
1. What is the HCF of 6552,1764?
The HCF of 6552,1764 is 252
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 6552/731, 1764/617?
Answer: GCF of Numerators as per given numbers 6552/731, 1764/617 is
GCF of Numerators i.e. for 6552,1764 is 252
LCM of denominators i.e. for 731,617 is 451027.
Thus, GCF of Fractions is 252/451027.Finally, GCF of Fractions for 6552/731, 1764/617 is 252/451027.