GCF of 8646/978, 4070/6830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8646/978, 4070/6830 i.e 22/3339870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8646/978, 4070/6830.
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 8646/978,4070/6830?
Given fractions are 8646/978,4070/6830
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 8646/978,4070/6830, numerators are 8646,4070
Denominators are 978,6830
The GCF of 8646,4070 is 22 .
LCM of 978,6830 is 3339870.
The greatest common factor of 8646/978,4070/6830 = [GCF of 8646,4070]/[LCM of 978,6830]= 22/3339870
Therefore, the GCF of 8646/978,4070/6830 is 22/3339870.
To find the highest common factor of 8646,4070, we have to find the factors of both numbers and list the highest common factor.
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
The HCF of 8646,4070 is 22.
Lets's calculate GCF of 8646,4070
| 2 | 8646, 4070 |
| 11 | 4323, 2035 |
| 393, 185 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8646,4070 By Matching Biggest Common Factor Method
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Now, list down the factors of 4070
:1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Greatest Common Factor
We found the factors 8646,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 8646,4070 is 22.
Lets's calculate LCM of 978,6830
| 2 | 978, 6830 |
| 489, 3415 |
∴ So the LCM of the given numbers is 2 x 489 x 3415 = 3339870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3339870
Therefore, the GCF of Fractions 8646/978,4070/6830 is 22/3339870
Least Common Multiple of 978,6830 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 978,6830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,6830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,6830) x common factors =2 x 1 = 2
LCM(978,6830) = ( 978 × 6830 ) / 2
LCM(978,6830) = 6679740 / 2
LCM(978,6830) = 3339870
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8646/978, 4070/6830
1. What is the HCF of 8646,4070?
The HCF of 8646,4070 is 22
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 8646/978, 4070/6830?
Answer: GCF of Numerators as per given numbers 8646/978, 4070/6830 is
GCF of Numerators i.e. for 8646,4070 is 22
LCM of denominators i.e. for 978,6830 is 3339870.
Thus, GCF of Fractions is 22/3339870.Finally, GCF of Fractions for 8646/978, 4070/6830 is 22/3339870.