GCF of 6901/176, 1764/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6901/176, 1764/432 i.e 1/4752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6901/176, 1764/432.
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 6901/176,1764/432?
Given fractions are 6901/176,1764/432
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 6901/176,1764/432, numerators are 6901,1764
Denominators are 176,432
The GCF of 6901,1764 is 1 .
LCM of 176,432 is 4752.
The greatest common factor of 6901/176,1764/432 = [GCF of 6901,1764]/[LCM of 176,432]= 1/4752
Therefore, the GCF of 6901/176,1764/432 is 1/4752.
To find the highest common factor of 6901,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 6901 are 1, 67, 103, 6901
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 6901,1764 is 1.
Lets's calculate GCF of 6901,1764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6901,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 6901
:1,67,103,6901
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 6901,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 6901,1764 is 1.
Lets's calculate LCM of 176,432
| 2 | 176, 432 |
| 2 | 88, 216 |
| 2 | 44, 108 |
| 2 | 22, 54 |
| 11, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 27 = 4752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4752
Therefore, the GCF of Fractions 6901/176,1764/432 is 1/4752
Least Common Multiple of 176,432 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 176,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,432) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(176,432) x common factors =16 x 1 = 16
LCM(176,432) = ( 176 × 432 ) / 16
LCM(176,432) = 76032 / 16
LCM(176,432) = 4752
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FAQs on GCF of Fractions of 6901/176, 1764/432
1. What is the HCF of 6901,1764?
The HCF of 6901,1764 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 6901/176, 1764/432?
Answer: GCF of Numerators as per given numbers 6901/176, 1764/432 is
GCF of Numerators i.e. for 6901,1764 is 1
LCM of denominators i.e. for 176,432 is 4752.
Thus, GCF of Fractions is 1/4752.Finally, GCF of Fractions for 6901/176, 1764/432 is 1/4752.