GCF of 7080/857, 6768/7021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7080/857, 6768/7021 i.e 24/6016997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7080/857, 6768/7021.
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 7080/857,6768/7021?
Given fractions are 7080/857,6768/7021
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 7080/857,6768/7021, numerators are 7080,6768
Denominators are 857,7021
The GCF of 7080,6768 is 24 .
LCM of 857,7021 is 6016997.
The greatest common factor of 7080/857,6768/7021 = [GCF of 7080,6768]/[LCM of 857,7021]= 24/6016997
Therefore, the GCF of 7080/857,6768/7021 is 24/6016997.
To find the highest common factor of 7080,6768, we have to find the factors of both numbers and list the highest common factor.
The factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080
The factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768
The HCF of 7080,6768 is 24.
Lets's calculate GCF of 7080,6768
| 2 | 7080, 6768 |
| 2 | 3540, 3384 |
| 2 | 1770, 1692 |
| 3 | 885, 846 |
| 295, 282 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 7080,6768 By Matching Biggest Common Factor Method
Now, list down the factors of 7080
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080
Now, list down the factors of 6768
:1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 7080,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,6768 is 24.
Lets's calculate LCM of 857,7021
Given numbers has no common factors except 1. So, there LCM is their product i.e 6016997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/6016997
Therefore, the GCF of Fractions 7080/857,6768/7021 is 24/6016997
Least Common Multiple of 857,7021 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 857,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,7021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,7021) x common factors =1 x 1 = 1
LCM(857,7021) = ( 857 × 7021 ) / 1
LCM(857,7021) = 6016997 / 1
LCM(857,7021) = 6016997
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FAQs on GCF of Fractions of 7080/857, 6768/7021
1. What is the HCF of 7080,6768?
The HCF of 7080,6768 is 24
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 7080/857, 6768/7021?
Answer: GCF of Numerators as per given numbers 7080/857, 6768/7021 is
GCF of Numerators i.e. for 7080,6768 is 24
LCM of denominators i.e. for 857,7021 is 6016997.
Thus, GCF of Fractions is 24/6016997.Finally, GCF of Fractions for 7080/857, 6768/7021 is 24/6016997.