GCF of 1694/643, 4521/5773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1694/643, 4521/5773 i.e 11/3712039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1694/643, 4521/5773.
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 1694/643,4521/5773?
Given fractions are 1694/643,4521/5773
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 1694/643,4521/5773, numerators are 1694,4521
Denominators are 643,5773
The GCF of 1694,4521 is 11 .
LCM of 643,5773 is 3712039.
The greatest common factor of 1694/643,4521/5773 = [GCF of 1694,4521]/[LCM of 643,5773]= 11/3712039
Therefore, the GCF of 1694/643,4521/5773 is 11/3712039.
To find the highest common factor of 1694,4521, we have to find the factors of both numbers and list the highest common factor.
The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694
The factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521
The HCF of 1694,4521 is 11.
Lets's calculate GCF of 1694,4521
| 11 | 1694, 4521 |
| 154, 411 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1694,4521 By Matching Biggest Common Factor Method
Now, list down the factors of 1694
:1,2,7,11,14,22,77,121,154,242,847,1694
Now, list down the factors of 4521
:1,3,11,33,137,411,1507,4521
Greatest Common Factor
We found the factors 1694,4521 . The biggest common factor number is the GCF number.
So the greatest common factor 1694,4521 is 11.
Lets's calculate LCM of 643,5773
Given numbers has no common factors except 1. So, there LCM is their product i.e 3712039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3712039
Therefore, the GCF of Fractions 1694/643,4521/5773 is 11/3712039
Least Common Multiple of 643,5773 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 643,5773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,5773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,5773) x common factors =1 x 1 = 1
LCM(643,5773) = ( 643 × 5773 ) / 1
LCM(643,5773) = 3712039 / 1
LCM(643,5773) = 3712039
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FAQs on GCF of Fractions of 1694/643, 4521/5773
1. What is the HCF of 1694,4521?
The HCF of 1694,4521 is 11
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 1694/643, 4521/5773?
Answer: GCF of Numerators as per given numbers 1694/643, 4521/5773 is
GCF of Numerators i.e. for 1694,4521 is 11
LCM of denominators i.e. for 643,5773 is 3712039.
Thus, GCF of Fractions is 11/3712039.Finally, GCF of Fractions for 1694/643, 4521/5773 is 11/3712039.