GCF of 8694/931, 7130/8658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8694/931, 7130/8658 i.e 46/8060598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8694/931, 7130/8658.
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 8694/931,7130/8658?
Given fractions are 8694/931,7130/8658
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 8694/931,7130/8658, numerators are 8694,7130
Denominators are 931,8658
The GCF of 8694,7130 is 46 .
LCM of 931,8658 is 8060598.
The greatest common factor of 8694/931,7130/8658 = [GCF of 8694,7130]/[LCM of 931,8658]= 46/8060598
Therefore, the GCF of 8694/931,7130/8658 is 46/8060598.
To find the highest common factor of 8694,7130, 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 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 8694,7130 is 46.
Lets's calculate GCF of 8694,7130
| 2 | 8694, 7130 |
| 23 | 4347, 3565 |
| 189, 155 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 8694,7130 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 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 8694,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 8694,7130 is 46.
Lets's calculate LCM of 931,8658
Given numbers has no common factors except 1. So, there LCM is their product i.e 8060598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/8060598
Therefore, the GCF of Fractions 8694/931,7130/8658 is 46/8060598
Least Common Multiple of 931,8658 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 931,8658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,8658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,8658) x common factors =1 x 1 = 1
LCM(931,8658) = ( 931 × 8658 ) / 1
LCM(931,8658) = 8060598 / 1
LCM(931,8658) = 8060598
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FAQs on GCF of Fractions of 8694/931, 7130/8658
1. What is the HCF of 8694,7130?
The HCF of 8694,7130 is 46
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 8694/931, 7130/8658?
Answer: GCF of Numerators as per given numbers 8694/931, 7130/8658 is
GCF of Numerators i.e. for 8694,7130 is 46
LCM of denominators i.e. for 931,8658 is 8060598.
Thus, GCF of Fractions is 46/8060598.Finally, GCF of Fractions for 8694/931, 7130/8658 is 46/8060598.