GCF of 8276/828, 2194/6964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8276/828, 2194/6964 i.e 2/1441548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8276/828, 2194/6964.
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 8276/828,2194/6964?
Given fractions are 8276/828,2194/6964
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 8276/828,2194/6964, numerators are 8276,2194
Denominators are 828,6964
The GCF of 8276,2194 is 2 .
LCM of 828,6964 is 1441548.
The greatest common factor of 8276/828,2194/6964 = [GCF of 8276,2194]/[LCM of 828,6964]= 2/1441548
Therefore, the GCF of 8276/828,2194/6964 is 2/1441548.
To find the highest common factor of 8276,2194, we have to find the factors of both numbers and list the highest common factor.
The factors of 8276 are 1, 2, 4, 2069, 4138, 8276
The factors of 2194 are 1, 2, 1097, 2194
The HCF of 8276,2194 is 2.
Lets's calculate GCF of 8276,2194
| 2 | 8276, 2194 |
| 4138, 1097 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8276,2194 By Matching Biggest Common Factor Method
Now, list down the factors of 8276
:1,2,4,2069,4138,8276
Now, list down the factors of 2194
:1,2,1097,2194
Greatest Common Factor
We found the factors 8276,2194 . The biggest common factor number is the GCF number.
So the greatest common factor 8276,2194 is 2.
Lets's calculate LCM of 828,6964
| 2 | 828, 6964 |
| 2 | 414, 3482 |
| 207, 1741 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 1741 = 1441548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1441548
Therefore, the GCF of Fractions 8276/828,2194/6964 is 2/1441548
Least Common Multiple of 828,6964 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 828,6964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,6964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,6964) x common factors =4 x 1 = 4
LCM(828,6964) = ( 828 × 6964 ) / 4
LCM(828,6964) = 5766192 / 4
LCM(828,6964) = 1441548
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FAQs on GCF of Fractions of 8276/828, 2194/6964
1. What is the HCF of 8276,2194?
The HCF of 8276,2194 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 8276/828, 2194/6964?
Answer: GCF of Numerators as per given numbers 8276/828, 2194/6964 is
GCF of Numerators i.e. for 8276,2194 is 2
LCM of denominators i.e. for 828,6964 is 1441548.
Thus, GCF of Fractions is 2/1441548.Finally, GCF of Fractions for 8276/828, 2194/6964 is 2/1441548.