GCF of 133/266, 7392/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 133/266, 7392/896 i.e 7/17024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/266, 7392/896.
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 133/266,7392/896?
Given fractions are 133/266,7392/896
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 133/266,7392/896, numerators are 133,7392
Denominators are 266,896
The GCF of 133,7392 is 7 .
LCM of 266,896 is 17024.
The greatest common factor of 133/266,7392/896 = [GCF of 133,7392]/[LCM of 266,896]= 7/17024
Therefore, the GCF of 133/266,7392/896 is 7/17024.
To find the highest common factor of 133,7392, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392
The HCF of 133,7392 is 7.
Lets's calculate GCF of 133,7392
| 7 | 133, 7392 |
| 19, 1056 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 133,7392 By Matching Biggest Common Factor Method
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 7392
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392
Greatest Common Factor
We found the factors 133,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 133,7392 is 7.
Lets's calculate LCM of 266,896
| 2 | 266, 896 |
| 7 | 133, 448 |
| 19, 64 |
∴ So the LCM of the given numbers is 2 x 7 x 19 x 64 = 17024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/17024
Therefore, the GCF of Fractions 133/266,7392/896 is 7/17024
Least Common Multiple of 266,896 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 266,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,896) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(266,896) x common factors =14 x 1 = 14
LCM(266,896) = ( 266 × 896 ) / 14
LCM(266,896) = 238336 / 14
LCM(266,896) = 17024
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FAQs on GCF of Fractions of 133/266, 7392/896
1. What is the HCF of 133,7392?
The HCF of 133,7392 is 7
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 133/266, 7392/896?
Answer: GCF of Numerators as per given numbers 133/266, 7392/896 is
GCF of Numerators i.e. for 133,7392 is 7
LCM of denominators i.e. for 266,896 is 17024.
Thus, GCF of Fractions is 7/17024.Finally, GCF of Fractions for 133/266, 7392/896 is 7/17024.