GCF of 8668/140, 6566/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8668/140, 6566/370 i.e 2/5180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8668/140, 6566/370.
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 8668/140,6566/370?
Given fractions are 8668/140,6566/370
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 8668/140,6566/370, numerators are 8668,6566
Denominators are 140,370
The GCF of 8668,6566 is 2 .
LCM of 140,370 is 5180.
The greatest common factor of 8668/140,6566/370 = [GCF of 8668,6566]/[LCM of 140,370]= 2/5180
Therefore, the GCF of 8668/140,6566/370 is 2/5180.
To find the highest common factor of 8668,6566, we have to find the factors of both numbers and list the highest common factor.
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
The HCF of 8668,6566 is 2.
Lets's calculate GCF of 8668,6566
| 2 | 8668, 6566 |
| 4334, 3283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8668,6566 By Matching Biggest Common Factor Method
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Now, list down the factors of 6566
:1,2,7,14,49,67,98,134,469,938,3283,6566
Greatest Common Factor
We found the factors 8668,6566 . The biggest common factor number is the GCF number.
So the greatest common factor 8668,6566 is 2.
Lets's calculate LCM of 140,370
| 2 | 140, 370 |
| 5 | 70, 185 |
| 14, 37 |
∴ So the LCM of the given numbers is 2 x 5 x 14 x 37 = 5180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5180
Therefore, the GCF of Fractions 8668/140,6566/370 is 2/5180
Least Common Multiple of 140,370 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 140,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(140,370) x common factors =10 x 1 = 10
LCM(140,370) = ( 140 × 370 ) / 10
LCM(140,370) = 51800 / 10
LCM(140,370) = 5180
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FAQs on GCF of Fractions of 8668/140, 6566/370
1. What is the HCF of 8668,6566?
The HCF of 8668,6566 is 2
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 8668/140, 6566/370?
Answer: GCF of Numerators as per given numbers 8668/140, 6566/370 is
GCF of Numerators i.e. for 8668,6566 is 2
LCM of denominators i.e. for 140,370 is 5180.
Thus, GCF of Fractions is 2/5180.Finally, GCF of Fractions for 8668/140, 6566/370 is 2/5180.