GCF of 2836/788, 8188/556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2836/788, 8188/556 i.e 4/109532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2836/788, 8188/556.
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 2836/788,8188/556?
Given fractions are 2836/788,8188/556
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 2836/788,8188/556, numerators are 2836,8188
Denominators are 788,556
The GCF of 2836,8188 is 4 .
LCM of 788,556 is 109532.
The greatest common factor of 2836/788,8188/556 = [GCF of 2836,8188]/[LCM of 788,556]= 4/109532
Therefore, the GCF of 2836/788,8188/556 is 4/109532.
To find the highest common factor of 2836,8188, we have to find the factors of both numbers and list the highest common factor.
The factors of 2836 are 1, 2, 4, 709, 1418, 2836
The factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188
The HCF of 2836,8188 is 4.
Lets's calculate GCF of 2836,8188
| 2 | 2836, 8188 |
| 2 | 1418, 4094 |
| 709, 2047 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2836,8188 By Matching Biggest Common Factor Method
Now, list down the factors of 2836
:1,2,4,709,1418,2836
Now, list down the factors of 8188
:1,2,4,23,46,89,92,178,356,2047,4094,8188
Greatest Common Factor
We found the factors 2836,8188 . The biggest common factor number is the GCF number.
So the greatest common factor 2836,8188 is 4.
Lets's calculate LCM of 788,556
| 2 | 788, 556 |
| 2 | 394, 278 |
| 197, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 139 = 109532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109532
Therefore, the GCF of Fractions 2836/788,8188/556 is 4/109532
Least Common Multiple of 788,556 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 788,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,556) x common factors =4 x 1 = 4
LCM(788,556) = ( 788 × 556 ) / 4
LCM(788,556) = 438128 / 4
LCM(788,556) = 109532
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FAQs on GCF of Fractions of 2836/788, 8188/556
1. What is the HCF of 2836,8188?
The HCF of 2836,8188 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 2836/788, 8188/556?
Answer: GCF of Numerators as per given numbers 2836/788, 8188/556 is
GCF of Numerators i.e. for 2836,8188 is 4
LCM of denominators i.e. for 788,556 is 109532.
Thus, GCF of Fractions is 4/109532.Finally, GCF of Fractions for 2836/788, 8188/556 is 4/109532.