GCF of 2296/675, 8364/7912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2296/675, 8364/7912 i.e 164/5340600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2296/675, 8364/7912.
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 2296/675,8364/7912?
Given fractions are 2296/675,8364/7912
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 2296/675,8364/7912, numerators are 2296,8364
Denominators are 675,7912
The GCF of 2296,8364 is 164 .
LCM of 675,7912 is 5340600.
The greatest common factor of 2296/675,8364/7912 = [GCF of 2296,8364]/[LCM of 675,7912]= 164/5340600
Therefore, the GCF of 2296/675,8364/7912 is 164/5340600.
To find the highest common factor of 2296,8364, we have to find the factors of both numbers and list the highest common factor.
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364
The HCF of 2296,8364 is 164.
Lets's calculate GCF of 2296,8364
| 2 | 2296, 8364 |
| 2 | 1148, 4182 |
| 41 | 574, 2091 |
| 14, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 41 = 164
Greatest Common Factor of 2296,8364 By Matching Biggest Common Factor Method
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Now, list down the factors of 8364
:1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364
Greatest Common Factor
We found the factors 2296,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 2296,8364 is 164.
Lets's calculate LCM of 675,7912
Given numbers has no common factors except 1. So, there LCM is their product i.e 5340600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 164/5340600
Therefore, the GCF of Fractions 2296/675,8364/7912 is 164/5340600
Least Common Multiple of 675,7912 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 675,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,7912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,7912) x common factors =1 x 1 = 1
LCM(675,7912) = ( 675 × 7912 ) / 1
LCM(675,7912) = 5340600 / 1
LCM(675,7912) = 5340600
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FAQs on GCF of Fractions of 2296/675, 8364/7912
1. What is the HCF of 2296,8364?
The HCF of 2296,8364 is 164
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 2296/675, 8364/7912?
Answer: GCF of Numerators as per given numbers 2296/675, 8364/7912 is
GCF of Numerators i.e. for 2296,8364 is 164
LCM of denominators i.e. for 675,7912 is 5340600.
Thus, GCF of Fractions is 164/5340600.Finally, GCF of Fractions for 2296/675, 8364/7912 is 164/5340600.