GCF of 860/108, 7816/6745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/108, 7816/6745 i.e 4/728460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/108, 7816/6745.
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 860/108,7816/6745?
Given fractions are 860/108,7816/6745
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 860/108,7816/6745, numerators are 860,7816
Denominators are 108,6745
The GCF of 860,7816 is 4 .
LCM of 108,6745 is 728460.
The greatest common factor of 860/108,7816/6745 = [GCF of 860,7816]/[LCM of 108,6745]= 4/728460
Therefore, the GCF of 860/108,7816/6745 is 4/728460.
To find the highest common factor of 860,7816, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The HCF of 860,7816 is 4.
Lets's calculate GCF of 860,7816
| 2 | 860, 7816 |
| 2 | 430, 3908 |
| 215, 1954 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 860,7816 By Matching Biggest Common Factor Method
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Greatest Common Factor
We found the factors 860,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 860,7816 is 4.
Lets's calculate LCM of 108,6745
Given numbers has no common factors except 1. So, there LCM is their product i.e 728460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/728460
Therefore, the GCF of Fractions 860/108,7816/6745 is 4/728460
Least Common Multiple of 108,6745 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 108,6745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,6745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,6745) x common factors =1 x 1 = 1
LCM(108,6745) = ( 108 × 6745 ) / 1
LCM(108,6745) = 728460 / 1
LCM(108,6745) = 728460
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FAQs on GCF of Fractions of 860/108, 7816/6745
1. What is the HCF of 860,7816?
The HCF of 860,7816 is 4
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 860/108, 7816/6745?
Answer: GCF of Numerators as per given numbers 860/108, 7816/6745 is
GCF of Numerators i.e. for 860,7816 is 4
LCM of denominators i.e. for 108,6745 is 728460.
Thus, GCF of Fractions is 4/728460.Finally, GCF of Fractions for 860/108, 7816/6745 is 4/728460.