GCF of 7609/28, 1917/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7609/28, 1917/259 i.e 1/1036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7609/28, 1917/259.
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 7609/28,1917/259?
Given fractions are 7609/28,1917/259
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 7609/28,1917/259, numerators are 7609,1917
Denominators are 28,259
The GCF of 7609,1917 is 1 .
LCM of 28,259 is 1036.
The greatest common factor of 7609/28,1917/259 = [GCF of 7609,1917]/[LCM of 28,259]= 1/1036
Therefore, the GCF of 7609/28,1917/259 is 1/1036.
To find the highest common factor of 7609,1917, we have to find the factors of both numbers and list the highest common factor.
The factors of 7609 are 1, 7, 1087, 7609
The factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917
The HCF of 7609,1917 is 1.
Lets's calculate GCF of 7609,1917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7609,1917 By Matching Biggest Common Factor Method
Now, list down the factors of 7609
:1,7,1087,7609
Now, list down the factors of 1917
:1,3,9,27,71,213,639,1917
Greatest Common Factor
We found the factors 7609,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,1917 is 1.
Lets's calculate LCM of 28,259
| 7 | 28, 259 |
| 4, 37 |
∴ So the LCM of the given numbers is 7 x 4 x 37 = 1036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036
Therefore, the GCF of Fractions 7609/28,1917/259 is 1/1036
Least Common Multiple of 28,259 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 28,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,259) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(28,259) x common factors =7 x 1 = 7
LCM(28,259) = ( 28 × 259 ) / 7
LCM(28,259) = 7252 / 7
LCM(28,259) = 1036
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FAQs on GCF of Fractions of 7609/28, 1917/259
1. What is the HCF of 7609,1917?
The HCF of 7609,1917 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 7609/28, 1917/259?
Answer: GCF of Numerators as per given numbers 7609/28, 1917/259 is
GCF of Numerators i.e. for 7609,1917 is 1
LCM of denominators i.e. for 28,259 is 1036.
Thus, GCF of Fractions is 1/1036.Finally, GCF of Fractions for 7609/28, 1917/259 is 1/1036.