GCF of 6794/118, 8820/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6794/118, 8820/896 i.e 2/52864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6794/118, 8820/896.
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 6794/118,8820/896?
Given fractions are 6794/118,8820/896
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 6794/118,8820/896, numerators are 6794,8820
Denominators are 118,896
The GCF of 6794,8820 is 2 .
LCM of 118,896 is 52864.
The greatest common factor of 6794/118,8820/896 = [GCF of 6794,8820]/[LCM of 118,896]= 2/52864
Therefore, the GCF of 6794/118,8820/896 is 2/52864.
To find the highest common factor of 6794,8820, we have to find the factors of both numbers and list the highest common factor.
The factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820
The HCF of 6794,8820 is 2.
Lets's calculate GCF of 6794,8820
| 2 | 6794, 8820 |
| 3397, 4410 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6794,8820 By Matching Biggest Common Factor Method
Now, list down the factors of 6794
:1,2,43,79,86,158,3397,6794
Now, list down the factors of 8820
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 6794,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 6794,8820 is 2.
Lets's calculate LCM of 118,896
| 2 | 118, 896 |
| 59, 448 |
∴ So the LCM of the given numbers is 2 x 59 x 448 = 52864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52864
Therefore, the GCF of Fractions 6794/118,8820/896 is 2/52864
Least Common Multiple of 118,896 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 118,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,896) x common factors =2 x 1 = 2
LCM(118,896) = ( 118 × 896 ) / 2
LCM(118,896) = 105728 / 2
LCM(118,896) = 52864
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FAQs on GCF of Fractions of 6794/118, 8820/896
1. What is the HCF of 6794,8820?
The HCF of 6794,8820 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 6794/118, 8820/896?
Answer: GCF of Numerators as per given numbers 6794/118, 8820/896 is
GCF of Numerators i.e. for 6794,8820 is 2
LCM of denominators i.e. for 118,896 is 52864.
Thus, GCF of Fractions is 2/52864.Finally, GCF of Fractions for 6794/118, 8820/896 is 2/52864.