GCF of 7468/703, 3216/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7468/703, 3216/867 i.e 4/609501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7468/703, 3216/867.
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 7468/703,3216/867?
Given fractions are 7468/703,3216/867
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 7468/703,3216/867, numerators are 7468,3216
Denominators are 703,867
The GCF of 7468,3216 is 4 .
LCM of 703,867 is 609501.
The greatest common factor of 7468/703,3216/867 = [GCF of 7468,3216]/[LCM of 703,867]= 4/609501
Therefore, the GCF of 7468/703,3216/867 is 4/609501.
To find the highest common factor of 7468,3216, we have to find the factors of both numbers and list the highest common factor.
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The HCF of 7468,3216 is 4.
Lets's calculate GCF of 7468,3216
| 2 | 7468, 3216 |
| 2 | 3734, 1608 |
| 1867, 804 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7468,3216 By Matching Biggest Common Factor Method
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 7468,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,3216 is 4.
Lets's calculate LCM of 703,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 609501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/609501
Therefore, the GCF of Fractions 7468/703,3216/867 is 4/609501
Least Common Multiple of 703,867 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 703,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,867) x common factors =1 x 1 = 1
LCM(703,867) = ( 703 × 867 ) / 1
LCM(703,867) = 609501 / 1
LCM(703,867) = 609501
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7468/703, 3216/867
1. What is the HCF of 7468,3216?
The HCF of 7468,3216 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 7468/703, 3216/867?
Answer: GCF of Numerators as per given numbers 7468/703, 3216/867 is
GCF of Numerators i.e. for 7468,3216 is 4
LCM of denominators i.e. for 703,867 is 609501.
Thus, GCF of Fractions is 4/609501.Finally, GCF of Fractions for 7468/703, 3216/867 is 4/609501.