GCF of 1645/590, 7021/3780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1645/590, 7021/3780 i.e 7/223020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1645/590, 7021/3780.
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 1645/590,7021/3780?
Given fractions are 1645/590,7021/3780
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 1645/590,7021/3780, numerators are 1645,7021
Denominators are 590,3780
The GCF of 1645,7021 is 7 .
LCM of 590,3780 is 223020.
The greatest common factor of 1645/590,7021/3780 = [GCF of 1645,7021]/[LCM of 590,3780]= 7/223020
Therefore, the GCF of 1645/590,7021/3780 is 7/223020.
To find the highest common factor of 1645,7021, we have to find the factors of both numbers and list the highest common factor.
The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The HCF of 1645,7021 is 7.
Lets's calculate GCF of 1645,7021
| 7 | 1645, 7021 |
| 235, 1003 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1645,7021 By Matching Biggest Common Factor Method
Now, list down the factors of 1645
:1,5,7,35,47,235,329,1645
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Greatest Common Factor
We found the factors 1645,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,7021 is 7.
Lets's calculate LCM of 590,3780
| 2 | 590, 3780 |
| 5 | 295, 1890 |
| 59, 378 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 378 = 223020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/223020
Therefore, the GCF of Fractions 1645/590,7021/3780 is 7/223020
Least Common Multiple of 590,3780 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 590,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,3780) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,3780) x common factors =10 x 1 = 10
LCM(590,3780) = ( 590 × 3780 ) / 10
LCM(590,3780) = 2230200 / 10
LCM(590,3780) = 223020
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FAQs on GCF of Fractions of 1645/590, 7021/3780
1. What is the HCF of 1645,7021?
The HCF of 1645,7021 is 7
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 1645/590, 7021/3780?
Answer: GCF of Numerators as per given numbers 1645/590, 7021/3780 is
GCF of Numerators i.e. for 1645,7021 is 7
LCM of denominators i.e. for 590,3780 is 223020.
Thus, GCF of Fractions is 7/223020.Finally, GCF of Fractions for 1645/590, 7021/3780 is 7/223020.