GCF of 2017/750, 5183/6213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2017/750, 5183/6213 i.e 1/1553250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2017/750, 5183/6213.
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 2017/750,5183/6213?
Given fractions are 2017/750,5183/6213
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 2017/750,5183/6213, numerators are 2017,5183
Denominators are 750,6213
The GCF of 2017,5183 is 1 .
LCM of 750,6213 is 1553250.
The greatest common factor of 2017/750,5183/6213 = [GCF of 2017,5183]/[LCM of 750,6213]= 1/1553250
Therefore, the GCF of 2017/750,5183/6213 is 1/1553250.
To find the highest common factor of 2017,5183, we have to find the factors of both numbers and list the highest common factor.
The factors of 2017 are 1, 2017
The factors of 5183 are 1, 71, 73, 5183
The HCF of 2017,5183 is 1.
Lets's calculate GCF of 2017,5183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2017,5183 By Matching Biggest Common Factor Method
Now, list down the factors of 2017
:1,2017
Now, list down the factors of 5183
:1,71,73,5183
Greatest Common Factor
We found the factors 2017,5183 . The biggest common factor number is the GCF number.
So the greatest common factor 2017,5183 is 1.
Lets's calculate LCM of 750,6213
| 3 | 750, 6213 |
| 250, 2071 |
∴ So the LCM of the given numbers is 3 x 250 x 2071 = 1553250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1553250
Therefore, the GCF of Fractions 2017/750,5183/6213 is 1/1553250
Least Common Multiple of 750,6213 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 750,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,6213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(750,6213) x common factors =3 x 1 = 3
LCM(750,6213) = ( 750 × 6213 ) / 3
LCM(750,6213) = 4659750 / 3
LCM(750,6213) = 1553250
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FAQs on GCF of Fractions of 2017/750, 5183/6213
1. What is the HCF of 2017,5183?
The HCF of 2017,5183 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 2017/750, 5183/6213?
Answer: GCF of Numerators as per given numbers 2017/750, 5183/6213 is
GCF of Numerators i.e. for 2017,5183 is 1
LCM of denominators i.e. for 750,6213 is 1553250.
Thus, GCF of Fractions is 1/1553250.Finally, GCF of Fractions for 2017/750, 5183/6213 is 1/1553250.