GCF of 6552/895, 7455/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6552/895, 7455/881 i.e 21/788495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6552/895, 7455/881.
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 6552/895,7455/881?
Given fractions are 6552/895,7455/881
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 6552/895,7455/881, numerators are 6552,7455
Denominators are 895,881
The GCF of 6552,7455 is 21 .
LCM of 895,881 is 788495.
The greatest common factor of 6552/895,7455/881 = [GCF of 6552,7455]/[LCM of 895,881]= 21/788495
Therefore, the GCF of 6552/895,7455/881 is 21/788495.
To find the highest common factor of 6552,7455, 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 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The HCF of 6552,7455 is 21.
Lets's calculate GCF of 6552,7455
| 3 | 6552, 7455 |
| 7 | 2184, 2485 |
| 312, 355 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6552,7455 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 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Greatest Common Factor
We found the factors 6552,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,7455 is 21.
Lets's calculate LCM of 895,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 788495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/788495
Therefore, the GCF of Fractions 6552/895,7455/881 is 21/788495
Least Common Multiple of 895,881 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 895,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,881) x common factors =1 x 1 = 1
LCM(895,881) = ( 895 × 881 ) / 1
LCM(895,881) = 788495 / 1
LCM(895,881) = 788495
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6552/895, 7455/881
1. What is the HCF of 6552,7455?
The HCF of 6552,7455 is 21
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 6552/895, 7455/881?
Answer: GCF of Numerators as per given numbers 6552/895, 7455/881 is
GCF of Numerators i.e. for 6552,7455 is 21
LCM of denominators i.e. for 895,881 is 788495.
Thus, GCF of Fractions is 21/788495.Finally, GCF of Fractions for 6552/895, 7455/881 is 21/788495.