GCF of 1897/516, 9016/7583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1897/516, 9016/7583 i.e 7/3912828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1897/516, 9016/7583.
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 1897/516,9016/7583?
Given fractions are 1897/516,9016/7583
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 1897/516,9016/7583, numerators are 1897,9016
Denominators are 516,7583
The GCF of 1897,9016 is 7 .
LCM of 516,7583 is 3912828.
The greatest common factor of 1897/516,9016/7583 = [GCF of 1897,9016]/[LCM of 516,7583]= 7/3912828
Therefore, the GCF of 1897/516,9016/7583 is 7/3912828.
To find the highest common factor of 1897,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 1897 are 1, 7, 271, 1897
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 1897,9016 is 7.
Lets's calculate GCF of 1897,9016
| 7 | 1897, 9016 |
| 271, 1288 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1897,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 1897
:1,7,271,1897
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 1897,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 1897,9016 is 7.
Lets's calculate LCM of 516,7583
Given numbers has no common factors except 1. So, there LCM is their product i.e 3912828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3912828
Therefore, the GCF of Fractions 1897/516,9016/7583 is 7/3912828
Least Common Multiple of 516,7583 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 516,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,7583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,7583) x common factors =1 x 1 = 1
LCM(516,7583) = ( 516 × 7583 ) / 1
LCM(516,7583) = 3912828 / 1
LCM(516,7583) = 3912828
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FAQs on GCF of Fractions of 1897/516, 9016/7583
1. What is the HCF of 1897,9016?
The HCF of 1897,9016 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 1897/516, 9016/7583?
Answer: GCF of Numerators as per given numbers 1897/516, 9016/7583 is
GCF of Numerators i.e. for 1897,9016 is 7
LCM of denominators i.e. for 516,7583 is 3912828.
Thus, GCF of Fractions is 7/3912828.Finally, GCF of Fractions for 1897/516, 9016/7583 is 7/3912828.