GCF of 6069/597, 7008/8424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6069/597, 7008/8424 i.e 3/1676376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6069/597, 7008/8424.
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 6069/597,7008/8424?
Given fractions are 6069/597,7008/8424
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 6069/597,7008/8424, numerators are 6069,7008
Denominators are 597,8424
The GCF of 6069,7008 is 3 .
LCM of 597,8424 is 1676376.
The greatest common factor of 6069/597,7008/8424 = [GCF of 6069,7008]/[LCM of 597,8424]= 3/1676376
Therefore, the GCF of 6069/597,7008/8424 is 3/1676376.
To find the highest common factor of 6069,7008, we have to find the factors of both numbers and list the highest common factor.
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The HCF of 6069,7008 is 3.
Lets's calculate GCF of 6069,7008
| 3 | 6069, 7008 |
| 2023, 2336 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6069,7008 By Matching Biggest Common Factor Method
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Greatest Common Factor
We found the factors 6069,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,7008 is 3.
Lets's calculate LCM of 597,8424
| 3 | 597, 8424 |
| 199, 2808 |
∴ So the LCM of the given numbers is 3 x 199 x 2808 = 1676376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1676376
Therefore, the GCF of Fractions 6069/597,7008/8424 is 3/1676376
Least Common Multiple of 597,8424 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 597,8424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,8424) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,8424) x common factors =3 x 1 = 3
LCM(597,8424) = ( 597 × 8424 ) / 3
LCM(597,8424) = 5029128 / 3
LCM(597,8424) = 1676376
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FAQs on GCF of Fractions of 6069/597, 7008/8424
1. What is the HCF of 6069,7008?
The HCF of 6069,7008 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 6069/597, 7008/8424?
Answer: GCF of Numerators as per given numbers 6069/597, 7008/8424 is
GCF of Numerators i.e. for 6069,7008 is 3
LCM of denominators i.e. for 597,8424 is 1676376.
Thus, GCF of Fractions is 3/1676376.Finally, GCF of Fractions for 6069/597, 7008/8424 is 3/1676376.