GCF of 526/663, 798/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 526/663, 798/204 i.e 2/2652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/663, 798/204.
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 526/663,798/204?
Given fractions are 526/663,798/204
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 526/663,798/204, numerators are 526,798
Denominators are 663,204
The GCF of 526,798 is 2 .
LCM of 663,204 is 2652.
The greatest common factor of 526/663,798/204 = [GCF of 526,798]/[LCM of 663,204]= 2/2652
Therefore, the GCF of 526/663,798/204 is 2/2652.
To find the highest common factor of 526,798, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The HCF of 526,798 is 2.
Lets's calculate GCF of 526,798
| 2 | 526, 798 |
| 263, 399 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 526,798 By Matching Biggest Common Factor Method
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 526,798 . The biggest common factor number is the GCF number.
So the greatest common factor 526,798 is 2.
Lets's calculate LCM of 663,204
| 3 | 663, 204 |
| 17 | 221, 68 |
| 13, 4 |
∴ So the LCM of the given numbers is 3 x 17 x 13 x 4 = 2652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2652
Therefore, the GCF of Fractions 526/663,798/204 is 2/2652
Least Common Multiple of 663,204 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 663,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,204) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(663,204) x common factors =51 x 1 = 51
LCM(663,204) = ( 663 × 204 ) / 51
LCM(663,204) = 135252 / 51
LCM(663,204) = 2652
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FAQs on GCF of Fractions of 526/663, 798/204
1. What is the HCF of 526,798?
The HCF of 526,798 is 2
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 526/663, 798/204?
Answer: GCF of Numerators as per given numbers 526/663, 798/204 is
GCF of Numerators i.e. for 526,798 is 2
LCM of denominators i.e. for 663,204 is 2652.
Thus, GCF of Fractions is 2/2652.Finally, GCF of Fractions for 526/663, 798/204 is 2/2652.