GCF of 7485/526, 9744/2647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7485/526, 9744/2647 i.e 3/1392322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7485/526, 9744/2647.
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 7485/526,9744/2647?
Given fractions are 7485/526,9744/2647
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 7485/526,9744/2647, numerators are 7485,9744
Denominators are 526,2647
The GCF of 7485,9744 is 3 .
LCM of 526,2647 is 1392322.
The greatest common factor of 7485/526,9744/2647 = [GCF of 7485,9744]/[LCM of 526,2647]= 3/1392322
Therefore, the GCF of 7485/526,9744/2647 is 3/1392322.
To find the highest common factor of 7485,9744, we have to find the factors of both numbers and list the highest common factor.
The factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744
The HCF of 7485,9744 is 3.
Lets's calculate GCF of 7485,9744
| 3 | 7485, 9744 |
| 2495, 3248 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7485,9744 By Matching Biggest Common Factor Method
Now, list down the factors of 7485
:1,3,5,15,499,1497,2495,7485
Now, list down the factors of 9744
:1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744
Greatest Common Factor
We found the factors 7485,9744 . The biggest common factor number is the GCF number.
So the greatest common factor 7485,9744 is 3.
Lets's calculate LCM of 526,2647
Given numbers has no common factors except 1. So, there LCM is their product i.e 1392322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1392322
Therefore, the GCF of Fractions 7485/526,9744/2647 is 3/1392322
Least Common Multiple of 526,2647 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 526,2647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,2647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,2647) x common factors =1 x 1 = 1
LCM(526,2647) = ( 526 × 2647 ) / 1
LCM(526,2647) = 1392322 / 1
LCM(526,2647) = 1392322
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FAQs on GCF of Fractions of 7485/526, 9744/2647
1. What is the HCF of 7485,9744?
The HCF of 7485,9744 is 3
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 7485/526, 9744/2647?
Answer: GCF of Numerators as per given numbers 7485/526, 9744/2647 is
GCF of Numerators i.e. for 7485,9744 is 3
LCM of denominators i.e. for 526,2647 is 1392322.
Thus, GCF of Fractions is 3/1392322.Finally, GCF of Fractions for 7485/526, 9744/2647 is 3/1392322.