GCF of 1731/210, 6308/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1731/210, 6308/521 i.e 1/109410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1731/210, 6308/521.
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 1731/210,6308/521?
Given fractions are 1731/210,6308/521
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 1731/210,6308/521, numerators are 1731,6308
Denominators are 210,521
The GCF of 1731,6308 is 1 .
LCM of 210,521 is 109410.
The greatest common factor of 1731/210,6308/521 = [GCF of 1731,6308]/[LCM of 210,521]= 1/109410
Therefore, the GCF of 1731/210,6308/521 is 1/109410.
To find the highest common factor of 1731,6308, we have to find the factors of both numbers and list the highest common factor.
The factors of 1731 are 1, 3, 577, 1731
The factors of 6308 are 1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308
The HCF of 1731,6308 is 1.
Lets's calculate GCF of 1731,6308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1731,6308 By Matching Biggest Common Factor Method
Now, list down the factors of 1731
:1,3,577,1731
Now, list down the factors of 6308
:1,2,4,19,38,76,83,166,332,1577,3154,6308
Greatest Common Factor
We found the factors 1731,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 1731,6308 is 1.
Lets's calculate LCM of 210,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 109410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109410
Therefore, the GCF of Fractions 1731/210,6308/521 is 1/109410
Least Common Multiple of 210,521 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 210,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,521) x common factors =1 x 1 = 1
LCM(210,521) = ( 210 × 521 ) / 1
LCM(210,521) = 109410 / 1
LCM(210,521) = 109410
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FAQs on GCF of Fractions of 1731/210, 6308/521
1. What is the HCF of 1731,6308?
The HCF of 1731,6308 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 1731/210, 6308/521?
Answer: GCF of Numerators as per given numbers 1731/210, 6308/521 is
GCF of Numerators i.e. for 1731,6308 is 1
LCM of denominators i.e. for 210,521 is 109410.
Thus, GCF of Fractions is 1/109410.Finally, GCF of Fractions for 1731/210, 6308/521 is 1/109410.