GCF of 7609/309, 2856/7754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7609/309, 2856/7754 i.e 7/2395986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7609/309, 2856/7754.
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 7609/309,2856/7754?
Given fractions are 7609/309,2856/7754
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 7609/309,2856/7754, numerators are 7609,2856
Denominators are 309,7754
The GCF of 7609,2856 is 7 .
LCM of 309,7754 is 2395986.
The greatest common factor of 7609/309,2856/7754 = [GCF of 7609,2856]/[LCM of 309,7754]= 7/2395986
Therefore, the GCF of 7609/309,2856/7754 is 7/2395986.
To find the highest common factor of 7609,2856, 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 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856
The HCF of 7609,2856 is 7.
Lets's calculate GCF of 7609,2856
| 7 | 7609, 2856 |
| 1087, 408 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7609,2856 By Matching Biggest Common Factor Method
Now, list down the factors of 7609
:1,7,1087,7609
Now, list down the factors of 2856
:1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Greatest Common Factor
We found the factors 7609,2856 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,2856 is 7.
Lets's calculate LCM of 309,7754
Given numbers has no common factors except 1. So, there LCM is their product i.e 2395986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2395986
Therefore, the GCF of Fractions 7609/309,2856/7754 is 7/2395986
Least Common Multiple of 309,7754 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 309,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7754) x common factors =1 x 1 = 1
LCM(309,7754) = ( 309 × 7754 ) / 1
LCM(309,7754) = 2395986 / 1
LCM(309,7754) = 2395986
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FAQs on GCF of Fractions of 7609/309, 2856/7754
1. What is the HCF of 7609,2856?
The HCF of 7609,2856 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 7609/309, 2856/7754?
Answer: GCF of Numerators as per given numbers 7609/309, 2856/7754 is
GCF of Numerators i.e. for 7609,2856 is 7
LCM of denominators i.e. for 309,7754 is 2395986.
Thus, GCF of Fractions is 7/2395986.Finally, GCF of Fractions for 7609/309, 2856/7754 is 7/2395986.