GCF of 8073/857, 7956/7804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8073/857, 7956/7804 i.e 117/6688028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8073/857, 7956/7804.
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 8073/857,7956/7804?
Given fractions are 8073/857,7956/7804
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 8073/857,7956/7804, numerators are 8073,7956
Denominators are 857,7804
The GCF of 8073,7956 is 117 .
LCM of 857,7804 is 6688028.
The greatest common factor of 8073/857,7956/7804 = [GCF of 8073,7956]/[LCM of 857,7804]= 117/6688028
Therefore, the GCF of 8073/857,7956/7804 is 117/6688028.
To find the highest common factor of 8073,7956, we have to find the factors of both numbers and list the highest common factor.
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
The HCF of 8073,7956 is 117.
Lets's calculate GCF of 8073,7956
| 3 | 8073, 7956 |
| 3 | 2691, 2652 |
| 13 | 897, 884 |
| 69, 68 |
∴ So the GCF of the given numbers is 3 x 3 x 13 = 117
Greatest Common Factor of 8073,7956 By Matching Biggest Common Factor Method
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Now, list down the factors of 7956
:1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors 8073,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 8073,7956 is 117.
Lets's calculate LCM of 857,7804
Given numbers has no common factors except 1. So, there LCM is their product i.e 6688028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 117/6688028
Therefore, the GCF of Fractions 8073/857,7956/7804 is 117/6688028
Least Common Multiple of 857,7804 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 857,7804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,7804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,7804) x common factors =1 x 1 = 1
LCM(857,7804) = ( 857 × 7804 ) / 1
LCM(857,7804) = 6688028 / 1
LCM(857,7804) = 6688028
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FAQs on GCF of Fractions of 8073/857, 7956/7804
1. What is the HCF of 8073,7956?
The HCF of 8073,7956 is 117
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 8073/857, 7956/7804?
Answer: GCF of Numerators as per given numbers 8073/857, 7956/7804 is
GCF of Numerators i.e. for 8073,7956 is 117
LCM of denominators i.e. for 857,7804 is 6688028.
Thus, GCF of Fractions is 117/6688028.Finally, GCF of Fractions for 8073/857, 7956/7804 is 117/6688028.