GCF of 6695/766, 7890/3066
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6695/766, 7890/3066 i.e 5/1174278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6695/766, 7890/3066.
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 6695/766,7890/3066?
Given fractions are 6695/766,7890/3066
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 6695/766,7890/3066, numerators are 6695,7890
Denominators are 766,3066
The GCF of 6695,7890 is 5 .
LCM of 766,3066 is 1174278.
The greatest common factor of 6695/766,7890/3066 = [GCF of 6695,7890]/[LCM of 766,3066]= 5/1174278
Therefore, the GCF of 6695/766,7890/3066 is 5/1174278.
To find the highest common factor of 6695,7890, we have to find the factors of both numbers and list the highest common factor.
The factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The HCF of 6695,7890 is 5.
Lets's calculate GCF of 6695,7890
| 5 | 6695, 7890 |
| 1339, 1578 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6695,7890 By Matching Biggest Common Factor Method
Now, list down the factors of 6695
:1,5,13,65,103,515,1339,6695
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 6695,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 6695,7890 is 5.
Lets's calculate LCM of 766,3066
| 2 | 766, 3066 |
| 383, 1533 |
∴ So the LCM of the given numbers is 2 x 383 x 1533 = 1174278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1174278
Therefore, the GCF of Fractions 6695/766,7890/3066 is 5/1174278
Least Common Multiple of 766,3066 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 766,3066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,3066) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,3066) x common factors =2 x 1 = 2
LCM(766,3066) = ( 766 × 3066 ) / 2
LCM(766,3066) = 2348556 / 2
LCM(766,3066) = 1174278
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FAQs on GCF of Fractions of 6695/766, 7890/3066
1. What is the HCF of 6695,7890?
The HCF of 6695,7890 is 5
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 6695/766, 7890/3066?
Answer: GCF of Numerators as per given numbers 6695/766, 7890/3066 is
GCF of Numerators i.e. for 6695,7890 is 5
LCM of denominators i.e. for 766,3066 is 1174278.
Thus, GCF of Fractions is 5/1174278.Finally, GCF of Fractions for 6695/766, 7890/3066 is 5/1174278.