GCF of 6804/321, 1506/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6804/321, 1506/967 i.e 6/310407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6804/321, 1506/967.
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 6804/321,1506/967?
Given fractions are 6804/321,1506/967
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 6804/321,1506/967, numerators are 6804,1506
Denominators are 321,967
The GCF of 6804,1506 is 6 .
LCM of 321,967 is 310407.
The greatest common factor of 6804/321,1506/967 = [GCF of 6804,1506]/[LCM of 321,967]= 6/310407
Therefore, the GCF of 6804/321,1506/967 is 6/310407.
To find the highest common factor of 6804,1506, we have to find the factors of both numbers and list the highest common factor.
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The HCF of 6804,1506 is 6.
Lets's calculate GCF of 6804,1506
| 2 | 6804, 1506 |
| 3 | 3402, 753 |
| 1134, 251 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6804,1506 By Matching Biggest Common Factor Method
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors 6804,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,1506 is 6.
Lets's calculate LCM of 321,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 310407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/310407
Therefore, the GCF of Fractions 6804/321,1506/967 is 6/310407
Least Common Multiple of 321,967 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 321,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,967) x common factors =1 x 1 = 1
LCM(321,967) = ( 321 × 967 ) / 1
LCM(321,967) = 310407 / 1
LCM(321,967) = 310407
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FAQs on GCF of Fractions of 6804/321, 1506/967
1. What is the HCF of 6804,1506?
The HCF of 6804,1506 is 6
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 6804/321, 1506/967?
Answer: GCF of Numerators as per given numbers 6804/321, 1506/967 is
GCF of Numerators i.e. for 6804,1506 is 6
LCM of denominators i.e. for 321,967 is 310407.
Thus, GCF of Fractions is 6/310407.Finally, GCF of Fractions for 6804/321, 1506/967 is 6/310407.