GCF of 6358/204, 9282/9026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6358/204, 9282/9026 i.e 34/920652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6358/204, 9282/9026.
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 6358/204,9282/9026?
Given fractions are 6358/204,9282/9026
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 6358/204,9282/9026, numerators are 6358,9282
Denominators are 204,9026
The GCF of 6358,9282 is 34 .
LCM of 204,9026 is 920652.
The greatest common factor of 6358/204,9282/9026 = [GCF of 6358,9282]/[LCM of 204,9026]= 34/920652
Therefore, the GCF of 6358/204,9282/9026 is 34/920652.
To find the highest common factor of 6358,9282, we have to find the factors of both numbers and list the highest common factor.
The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358
The factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282
The HCF of 6358,9282 is 34.
Lets's calculate GCF of 6358,9282
| 2 | 6358, 9282 |
| 17 | 3179, 4641 |
| 187, 273 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 6358,9282 By Matching Biggest Common Factor Method
Now, list down the factors of 6358
:1,2,11,17,22,34,187,289,374,578,3179,6358
Now, list down the factors of 9282
:1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282
Greatest Common Factor
We found the factors 6358,9282 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,9282 is 34.
Lets's calculate LCM of 204,9026
| 2 | 204, 9026 |
| 102, 4513 |
∴ So the LCM of the given numbers is 2 x 102 x 4513 = 920652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/920652
Therefore, the GCF of Fractions 6358/204,9282/9026 is 34/920652
Least Common Multiple of 204,9026 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 204,9026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9026) x common factors =2 x 1 = 2
LCM(204,9026) = ( 204 × 9026 ) / 2
LCM(204,9026) = 1841304 / 2
LCM(204,9026) = 920652
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FAQs on GCF of Fractions of 6358/204, 9282/9026
1. What is the HCF of 6358,9282?
The HCF of 6358,9282 is 34
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 6358/204, 9282/9026?
Answer: GCF of Numerators as per given numbers 6358/204, 9282/9026 is
GCF of Numerators i.e. for 6358,9282 is 34
LCM of denominators i.e. for 204,9026 is 920652.
Thus, GCF of Fractions is 34/920652.Finally, GCF of Fractions for 6358/204, 9282/9026 is 34/920652.