GCF of 8694/935, 9768/7092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8694/935, 9768/7092 i.e 6/6631020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8694/935, 9768/7092.
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 8694/935,9768/7092?
Given fractions are 8694/935,9768/7092
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 8694/935,9768/7092, numerators are 8694,9768
Denominators are 935,7092
The GCF of 8694,9768 is 6 .
LCM of 935,7092 is 6631020.
The greatest common factor of 8694/935,9768/7092 = [GCF of 8694,9768]/[LCM of 935,7092]= 6/6631020
Therefore, the GCF of 8694/935,9768/7092 is 6/6631020.
To find the highest common factor of 8694,9768, we have to find the factors of both numbers and list the highest common factor.
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The HCF of 8694,9768 is 6.
Lets's calculate GCF of 8694,9768
| 2 | 8694, 9768 |
| 3 | 4347, 4884 |
| 1449, 1628 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8694,9768 By Matching Biggest Common Factor Method
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 8694,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 8694,9768 is 6.
Lets's calculate LCM of 935,7092
Given numbers has no common factors except 1. So, there LCM is their product i.e 6631020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6631020
Therefore, the GCF of Fractions 8694/935,9768/7092 is 6/6631020
Least Common Multiple of 935,7092 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 935,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,7092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,7092) x common factors =1 x 1 = 1
LCM(935,7092) = ( 935 × 7092 ) / 1
LCM(935,7092) = 6631020 / 1
LCM(935,7092) = 6631020
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FAQs on GCF of Fractions of 8694/935, 9768/7092
1. What is the HCF of 8694,9768?
The HCF of 8694,9768 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 8694/935, 9768/7092?
Answer: GCF of Numerators as per given numbers 8694/935, 9768/7092 is
GCF of Numerators i.e. for 8694,9768 is 6
LCM of denominators i.e. for 935,7092 is 6631020.
Thus, GCF of Fractions is 6/6631020.Finally, GCF of Fractions for 8694/935, 9768/7092 is 6/6631020.