GCF of 868/78, 612/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/78, 612/805 i.e 4/62790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/78, 612/805.
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 868/78,612/805?
Given fractions are 868/78,612/805
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 868/78,612/805, numerators are 868,612
Denominators are 78,805
The GCF of 868,612 is 4 .
LCM of 78,805 is 62790.
The greatest common factor of 868/78,612/805 = [GCF of 868,612]/[LCM of 78,805]= 4/62790
Therefore, the GCF of 868/78,612/805 is 4/62790.
To find the highest common factor of 868,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 868,612 is 4.
Lets's calculate GCF of 868,612
| 2 | 868, 612 |
| 2 | 434, 306 |
| 217, 153 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 868,612 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 868,612 . The biggest common factor number is the GCF number.
So the greatest common factor 868,612 is 4.
Lets's calculate LCM of 78,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 62790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62790
Therefore, the GCF of Fractions 868/78,612/805 is 4/62790
Least Common Multiple of 78,805 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 78,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,805) x common factors =1 x 1 = 1
LCM(78,805) = ( 78 × 805 ) / 1
LCM(78,805) = 62790 / 1
LCM(78,805) = 62790
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 868/78, 612/805
1. What is the HCF of 868,612?
The HCF of 868,612 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 868/78, 612/805?
Answer: GCF of Numerators as per given numbers 868/78, 612/805 is
GCF of Numerators i.e. for 868,612 is 4
LCM of denominators i.e. for 78,805 is 62790.
Thus, GCF of Fractions is 4/62790.Finally, GCF of Fractions for 868/78, 612/805 is 4/62790.