GCF of 2448/609, 7603/2807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2448/609, 7603/2807 i.e 1/244209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2448/609, 7603/2807.
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 2448/609,7603/2807?
Given fractions are 2448/609,7603/2807
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 2448/609,7603/2807, numerators are 2448,7603
Denominators are 609,2807
The GCF of 2448,7603 is 1 .
LCM of 609,2807 is 244209.
The greatest common factor of 2448/609,7603/2807 = [GCF of 2448,7603]/[LCM of 609,2807]= 1/244209
Therefore, the GCF of 2448/609,7603/2807 is 1/244209.
To find the highest common factor of 2448,7603, we have to find the factors of both numbers and list the highest common factor.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The factors of 7603 are 1, 7603
The HCF of 2448,7603 is 1.
Lets's calculate GCF of 2448,7603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2448,7603 By Matching Biggest Common Factor Method
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Now, list down the factors of 7603
:1,7603
Greatest Common Factor
We found the factors 2448,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 2448,7603 is 1.
Lets's calculate LCM of 609,2807
| 7 | 609, 2807 |
| 87, 401 |
∴ So the LCM of the given numbers is 7 x 87 x 401 = 244209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244209
Therefore, the GCF of Fractions 2448/609,7603/2807 is 1/244209
Least Common Multiple of 609,2807 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 609,2807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,2807) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,2807) x common factors =7 x 1 = 7
LCM(609,2807) = ( 609 × 2807 ) / 7
LCM(609,2807) = 1709463 / 7
LCM(609,2807) = 244209
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FAQs on GCF of Fractions of 2448/609, 7603/2807
1. What is the HCF of 2448,7603?
The HCF of 2448,7603 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 2448/609, 7603/2807?
Answer: GCF of Numerators as per given numbers 2448/609, 7603/2807 is
GCF of Numerators i.e. for 2448,7603 is 1
LCM of denominators i.e. for 609,2807 is 244209.
Thus, GCF of Fractions is 1/244209.Finally, GCF of Fractions for 2448/609, 7603/2807 is 1/244209.