GCF of 7867/795, 6490/8256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7867/795, 6490/8256 i.e 1/2187840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7867/795, 6490/8256.
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 7867/795,6490/8256?
Given fractions are 7867/795,6490/8256
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 7867/795,6490/8256, numerators are 7867,6490
Denominators are 795,8256
The GCF of 7867,6490 is 1 .
LCM of 795,8256 is 2187840.
The greatest common factor of 7867/795,6490/8256 = [GCF of 7867,6490]/[LCM of 795,8256]= 1/2187840
Therefore, the GCF of 7867/795,6490/8256 is 1/2187840.
To find the highest common factor of 7867,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 7867 are 1, 7867
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 7867,6490 is 1.
Lets's calculate GCF of 7867,6490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7867,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 7867
:1,7867
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 7867,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,6490 is 1.
Lets's calculate LCM of 795,8256
| 3 | 795, 8256 |
| 265, 2752 |
∴ So the LCM of the given numbers is 3 x 265 x 2752 = 2187840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2187840
Therefore, the GCF of Fractions 7867/795,6490/8256 is 1/2187840
Least Common Multiple of 795,8256 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 795,8256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,8256) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,8256) x common factors =3 x 1 = 3
LCM(795,8256) = ( 795 × 8256 ) / 3
LCM(795,8256) = 6563520 / 3
LCM(795,8256) = 2187840
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FAQs on GCF of Fractions of 7867/795, 6490/8256
1. What is the HCF of 7867,6490?
The HCF of 7867,6490 is 1
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 7867/795, 6490/8256?
Answer: GCF of Numerators as per given numbers 7867/795, 6490/8256 is
GCF of Numerators i.e. for 7867,6490 is 1
LCM of denominators i.e. for 795,8256 is 2187840.
Thus, GCF of Fractions is 1/2187840.Finally, GCF of Fractions for 7867/795, 6490/8256 is 1/2187840.