GCF of 7803/675, 6084/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7803/675, 6084/360 i.e 9/5400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7803/675, 6084/360.
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 7803/675,6084/360?
Given fractions are 7803/675,6084/360
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 7803/675,6084/360, numerators are 7803,6084
Denominators are 675,360
The GCF of 7803,6084 is 9 .
LCM of 675,360 is 5400.
The greatest common factor of 7803/675,6084/360 = [GCF of 7803,6084]/[LCM of 675,360]= 9/5400
Therefore, the GCF of 7803/675,6084/360 is 9/5400.
To find the highest common factor of 7803,6084, we have to find the factors of both numbers and list the highest common factor.
The factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084
The HCF of 7803,6084 is 9.
Lets's calculate GCF of 7803,6084
| 3 | 7803, 6084 |
| 3 | 2601, 2028 |
| 867, 676 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7803,6084 By Matching Biggest Common Factor Method
Now, list down the factors of 7803
:1,3,9,17,27,51,153,289,459,867,2601,7803
Now, list down the factors of 6084
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Greatest Common Factor
We found the factors 7803,6084 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,6084 is 9.
Lets's calculate LCM of 675,360
| 3 | 675, 360 |
| 3 | 225, 120 |
| 5 | 75, 40 |
| 15, 8 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 8 = 5400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5400
Therefore, the GCF of Fractions 7803/675,6084/360 is 9/5400
Least Common Multiple of 675,360 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 675,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,360) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(675,360) x common factors =45 x 1 = 45
LCM(675,360) = ( 675 × 360 ) / 45
LCM(675,360) = 243000 / 45
LCM(675,360) = 5400
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FAQs on GCF of Fractions of 7803/675, 6084/360
1. What is the HCF of 7803,6084?
The HCF of 7803,6084 is 9
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 7803/675, 6084/360?
Answer: GCF of Numerators as per given numbers 7803/675, 6084/360 is
GCF of Numerators i.e. for 7803,6084 is 9
LCM of denominators i.e. for 675,360 is 5400.
Thus, GCF of Fractions is 9/5400.Finally, GCF of Fractions for 7803/675, 6084/360 is 9/5400.