GCF of 34/99, 532/27, 143/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/99, 532/27, 143/207 i.e 1/6831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/99, 532/27, 143/207.
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 34/99,532/27,143/207?
Given fractions are 34/99,532/27,143/207
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 34/99,532/27,143/207, numerators are 34,532,143
Denominators are 99,27,207
The GCF of 34,532,143 is 1 .
LCM of 99,27,207 is 6831.
The greatest common factor of 34/99,532/27,143/207 = [GCF of 34,532,143]/[LCM of 99,27,207]= 1/6831
Therefore, the GCF of 34/99,532/27,143/207 is 1/6831.
To find the highest common factor of 34,532,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 143 are 1, 11, 13, 143
The HCF of 34,532,143 is 1.
Lets's calculate GCF of 34,532,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,532,143 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 34,532,143 . The biggest common factor number is the GCF number.
So the greatest common factor 34,532,143 is 1.
Lets's calculate LCM of 99,27,207
| 3 | 99, 27, 207 |
| 3 | 33, 9, 69 |
| 11, 3, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 23 = 6831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6831
Therefore, the GCF of Fractions 34/99,532/27,143/207 is 1/6831
Least Common Multiple of 99,27,207 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 99,27,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,27,207) = 9
common factors(in case of two or more numbers have common factors) = 9
GCF(99,27,207) x common factors =9 x 9 = 81
LCM(99,27,207) = ( 99 × 27 × 207 ) / 81
LCM(99,27,207) = 553311 / 81
LCM(99,27,207) = 6831
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FAQs on GCF of Fractions of 34/99, 532/27, 143/207
1. What is the HCF of 34,532,143?
The HCF of 34,532,143 is 1
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 34/99, 532/27, 143/207?
Answer: GCF of Numerators as per given numbers 34/99, 532/27, 143/207 is
GCF of Numerators i.e. for 34,532,143 is 1
LCM of denominators i.e. for 99,27,207 is 6831.
Thus, GCF of Fractions is 1/6831.Finally, GCF of Fractions for 34/99, 532/27, 143/207 is 1/6831.