GCF of 4346/971, 1722/6894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4346/971, 1722/6894 i.e 82/6694074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4346/971, 1722/6894.
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 4346/971,1722/6894?
Given fractions are 4346/971,1722/6894
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 4346/971,1722/6894, numerators are 4346,1722
Denominators are 971,6894
The GCF of 4346,1722 is 82 .
LCM of 971,6894 is 6694074.
The greatest common factor of 4346/971,1722/6894 = [GCF of 4346,1722]/[LCM of 971,6894]= 82/6694074
Therefore, the GCF of 4346/971,1722/6894 is 82/6694074.
To find the highest common factor of 4346,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 4346,1722 is 82.
Lets's calculate GCF of 4346,1722
| 2 | 4346, 1722 |
| 41 | 2173, 861 |
| 53, 21 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 4346,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 4346
:1,2,41,53,82,106,2173,4346
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 4346,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 4346,1722 is 82.
Lets's calculate LCM of 971,6894
Given numbers has no common factors except 1. So, there LCM is their product i.e 6694074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/6694074
Therefore, the GCF of Fractions 4346/971,1722/6894 is 82/6694074
Least Common Multiple of 971,6894 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 971,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,6894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,6894) x common factors =1 x 1 = 1
LCM(971,6894) = ( 971 × 6894 ) / 1
LCM(971,6894) = 6694074 / 1
LCM(971,6894) = 6694074
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FAQs on GCF of Fractions of 4346/971, 1722/6894
1. What is the HCF of 4346,1722?
The HCF of 4346,1722 is 82
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 4346/971, 1722/6894?
Answer: GCF of Numerators as per given numbers 4346/971, 1722/6894 is
GCF of Numerators i.e. for 4346,1722 is 82
LCM of denominators i.e. for 971,6894 is 6694074.
Thus, GCF of Fractions is 82/6694074.Finally, GCF of Fractions for 4346/971, 1722/6894 is 82/6694074.