GCF of 662/884, 828/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 662/884, 828/802 i.e 2/354484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/884, 828/802.
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 662/884,828/802?
Given fractions are 662/884,828/802
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 662/884,828/802, numerators are 662,828
Denominators are 884,802
The GCF of 662,828 is 2 .
LCM of 884,802 is 354484.
The greatest common factor of 662/884,828/802 = [GCF of 662,828]/[LCM of 884,802]= 2/354484
Therefore, the GCF of 662/884,828/802 is 2/354484.
To find the highest common factor of 662,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 662 are 1, 2, 331, 662
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 662,828 is 2.
Lets's calculate GCF of 662,828
| 2 | 662, 828 |
| 331, 414 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 662,828 By Matching Biggest Common Factor Method
Now, list down the factors of 662
:1,2,331,662
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 662,828 . The biggest common factor number is the GCF number.
So the greatest common factor 662,828 is 2.
Lets's calculate LCM of 884,802
| 2 | 884, 802 |
| 442, 401 |
∴ So the LCM of the given numbers is 2 x 442 x 401 = 354484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354484
Therefore, the GCF of Fractions 662/884,828/802 is 2/354484
Least Common Multiple of 884,802 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 884,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,802) x common factors =2 x 1 = 2
LCM(884,802) = ( 884 × 802 ) / 2
LCM(884,802) = 708968 / 2
LCM(884,802) = 354484
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 662/884, 828/802
1. What is the HCF of 662,828?
The HCF of 662,828 is 2
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 662/884, 828/802?
Answer: GCF of Numerators as per given numbers 662/884, 828/802 is
GCF of Numerators i.e. for 662,828 is 2
LCM of denominators i.e. for 884,802 is 354484.
Thus, GCF of Fractions is 2/354484.Finally, GCF of Fractions for 662/884, 828/802 is 2/354484.