GCF of 1975/730, 9035/3884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1975/730, 9035/3884 i.e 5/1417660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1975/730, 9035/3884.
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 1975/730,9035/3884?
Given fractions are 1975/730,9035/3884
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 1975/730,9035/3884, numerators are 1975,9035
Denominators are 730,3884
The GCF of 1975,9035 is 5 .
LCM of 730,3884 is 1417660.
The greatest common factor of 1975/730,9035/3884 = [GCF of 1975,9035]/[LCM of 730,3884]= 5/1417660
Therefore, the GCF of 1975/730,9035/3884 is 5/1417660.
To find the highest common factor of 1975,9035, we have to find the factors of both numbers and list the highest common factor.
The factors of 1975 are 1, 5, 25, 79, 395, 1975
The factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035
The HCF of 1975,9035 is 5.
Lets's calculate GCF of 1975,9035
| 5 | 1975, 9035 |
| 395, 1807 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1975,9035 By Matching Biggest Common Factor Method
Now, list down the factors of 1975
:1,5,25,79,395,1975
Now, list down the factors of 9035
:1,5,13,65,139,695,1807,9035
Greatest Common Factor
We found the factors 1975,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,9035 is 5.
Lets's calculate LCM of 730,3884
| 2 | 730, 3884 |
| 365, 1942 |
∴ So the LCM of the given numbers is 2 x 365 x 1942 = 1417660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1417660
Therefore, the GCF of Fractions 1975/730,9035/3884 is 5/1417660
Least Common Multiple of 730,3884 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 730,3884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,3884) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,3884) x common factors =2 x 1 = 2
LCM(730,3884) = ( 730 × 3884 ) / 2
LCM(730,3884) = 2835320 / 2
LCM(730,3884) = 1417660
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FAQs on GCF of Fractions of 1975/730, 9035/3884
1. What is the HCF of 1975,9035?
The HCF of 1975,9035 is 5
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 1975/730, 9035/3884?
Answer: GCF of Numerators as per given numbers 1975/730, 9035/3884 is
GCF of Numerators i.e. for 1975,9035 is 5
LCM of denominators i.e. for 730,3884 is 1417660.
Thus, GCF of Fractions is 5/1417660.Finally, GCF of Fractions for 1975/730, 9035/3884 is 5/1417660.