GCF of 7803/920, 6204/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7803/920, 6204/282 i.e 3/129720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7803/920, 6204/282.
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 7803/920,6204/282?
Given fractions are 7803/920,6204/282
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 7803/920,6204/282, numerators are 7803,6204
Denominators are 920,282
The GCF of 7803,6204 is 3 .
LCM of 920,282 is 129720.
The greatest common factor of 7803/920,6204/282 = [GCF of 7803,6204]/[LCM of 920,282]= 3/129720
Therefore, the GCF of 7803/920,6204/282 is 3/129720.
To find the highest common factor of 7803,6204, 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 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The HCF of 7803,6204 is 3.
Lets's calculate GCF of 7803,6204
| 3 | 7803, 6204 |
| 2601, 2068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7803,6204 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 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 7803,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,6204 is 3.
Lets's calculate LCM of 920,282
| 2 | 920, 282 |
| 460, 141 |
∴ So the LCM of the given numbers is 2 x 460 x 141 = 129720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/129720
Therefore, the GCF of Fractions 7803/920,6204/282 is 3/129720
Least Common Multiple of 920,282 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 920,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,282) x common factors =2 x 1 = 2
LCM(920,282) = ( 920 × 282 ) / 2
LCM(920,282) = 259440 / 2
LCM(920,282) = 129720
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FAQs on GCF of Fractions of 7803/920, 6204/282
1. What is the HCF of 7803,6204?
The HCF of 7803,6204 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 7803/920, 6204/282?
Answer: GCF of Numerators as per given numbers 7803/920, 6204/282 is
GCF of Numerators i.e. for 7803,6204 is 3
LCM of denominators i.e. for 920,282 is 129720.
Thus, GCF of Fractions is 3/129720.Finally, GCF of Fractions for 7803/920, 6204/282 is 3/129720.