GCF of 6860/142, 8338/5861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6860/142, 8338/5861 i.e 2/832262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6860/142, 8338/5861.
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 6860/142,8338/5861?
Given fractions are 6860/142,8338/5861
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 6860/142,8338/5861, numerators are 6860,8338
Denominators are 142,5861
The GCF of 6860,8338 is 2 .
LCM of 142,5861 is 832262.
The greatest common factor of 6860/142,8338/5861 = [GCF of 6860,8338]/[LCM of 142,5861]= 2/832262
Therefore, the GCF of 6860/142,8338/5861 is 2/832262.
To find the highest common factor of 6860,8338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860
The factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338
The HCF of 6860,8338 is 2.
Lets's calculate GCF of 6860,8338
| 2 | 6860, 8338 |
| 3430, 4169 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6860,8338 By Matching Biggest Common Factor Method
Now, list down the factors of 6860
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Now, list down the factors of 8338
:1,2,11,22,379,758,4169,8338
Greatest Common Factor
We found the factors 6860,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 6860,8338 is 2.
Lets's calculate LCM of 142,5861
Given numbers has no common factors except 1. So, there LCM is their product i.e 832262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/832262
Therefore, the GCF of Fractions 6860/142,8338/5861 is 2/832262
Least Common Multiple of 142,5861 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 142,5861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,5861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,5861) x common factors =1 x 1 = 1
LCM(142,5861) = ( 142 × 5861 ) / 1
LCM(142,5861) = 832262 / 1
LCM(142,5861) = 832262
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FAQs on GCF of Fractions of 6860/142, 8338/5861
1. What is the HCF of 6860,8338?
The HCF of 6860,8338 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 6860/142, 8338/5861?
Answer: GCF of Numerators as per given numbers 6860/142, 8338/5861 is
GCF of Numerators i.e. for 6860,8338 is 2
LCM of denominators i.e. for 142,5861 is 832262.
Thus, GCF of Fractions is 2/832262.Finally, GCF of Fractions for 6860/142, 8338/5861 is 2/832262.