GCF of 9471/385, 1722/6748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/385, 1722/6748 i.e 861/371140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/385, 1722/6748.
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 9471/385,1722/6748?
Given fractions are 9471/385,1722/6748
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 9471/385,1722/6748, numerators are 9471,1722
Denominators are 385,6748
The GCF of 9471,1722 is 861 .
LCM of 385,6748 is 371140.
The greatest common factor of 9471/385,1722/6748 = [GCF of 9471,1722]/[LCM of 385,6748]= 861/371140
Therefore, the GCF of 9471/385,1722/6748 is 861/371140.
To find the highest common factor of 9471,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 9471,1722 is 861.
Lets's calculate GCF of 9471,1722
| 3 | 9471, 1722 |
| 7 | 3157, 574 |
| 41 | 451, 82 |
| 11, 2 |
∴ So the GCF of the given numbers is 3 x 7 x 41 = 861
Greatest Common Factor of 9471,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 9471,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,1722 is 861.
Lets's calculate LCM of 385,6748
| 7 | 385, 6748 |
| 55, 964 |
∴ So the LCM of the given numbers is 7 x 55 x 964 = 371140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 861/371140
Therefore, the GCF of Fractions 9471/385,1722/6748 is 861/371140
Least Common Multiple of 385,6748 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 385,6748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,6748) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(385,6748) x common factors =7 x 1 = 7
LCM(385,6748) = ( 385 × 6748 ) / 7
LCM(385,6748) = 2597980 / 7
LCM(385,6748) = 371140
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FAQs on GCF of Fractions of 9471/385, 1722/6748
1. What is the HCF of 9471,1722?
The HCF of 9471,1722 is 861
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 9471/385, 1722/6748?
Answer: GCF of Numerators as per given numbers 9471/385, 1722/6748 is
GCF of Numerators i.e. for 9471,1722 is 861
LCM of denominators i.e. for 385,6748 is 371140.
Thus, GCF of Fractions is 861/371140.Finally, GCF of Fractions for 9471/385, 1722/6748 is 861/371140.