GCF of 1526/228, 6552/8367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1526/228, 6552/8367 i.e 14/635892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1526/228, 6552/8367.
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 1526/228,6552/8367?
Given fractions are 1526/228,6552/8367
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 1526/228,6552/8367, numerators are 1526,6552
Denominators are 228,8367
The GCF of 1526,6552 is 14 .
LCM of 228,8367 is 635892.
The greatest common factor of 1526/228,6552/8367 = [GCF of 1526,6552]/[LCM of 228,8367]= 14/635892
Therefore, the GCF of 1526/228,6552/8367 is 14/635892.
To find the highest common factor of 1526,6552, we have to find the factors of both numbers and list the highest common factor.
The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526
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 HCF of 1526,6552 is 14.
Lets's calculate GCF of 1526,6552
| 2 | 1526, 6552 |
| 7 | 763, 3276 |
| 109, 468 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1526,6552 By Matching Biggest Common Factor Method
Now, list down the factors of 1526
:1,2,7,14,109,218,763,1526
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
Greatest Common Factor
We found the factors 1526,6552 . The biggest common factor number is the GCF number.
So the greatest common factor 1526,6552 is 14.
Lets's calculate LCM of 228,8367
| 3 | 228, 8367 |
| 76, 2789 |
∴ So the LCM of the given numbers is 3 x 76 x 2789 = 635892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/635892
Therefore, the GCF of Fractions 1526/228,6552/8367 is 14/635892
Least Common Multiple of 228,8367 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 228,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8367) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8367) x common factors =3 x 1 = 3
LCM(228,8367) = ( 228 × 8367 ) / 3
LCM(228,8367) = 1907676 / 3
LCM(228,8367) = 635892
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FAQs on GCF of Fractions of 1526/228, 6552/8367
1. What is the HCF of 1526,6552?
The HCF of 1526,6552 is 14
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 1526/228, 6552/8367?
Answer: GCF of Numerators as per given numbers 1526/228, 6552/8367 is
GCF of Numerators i.e. for 1526,6552 is 14
LCM of denominators i.e. for 228,8367 is 635892.
Thus, GCF of Fractions is 14/635892.Finally, GCF of Fractions for 1526/228, 6552/8367 is 14/635892.