GCF of 2844/178, 3304/8209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2844/178, 3304/8209 i.e 4/1461202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2844/178, 3304/8209.
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 2844/178,3304/8209?
Given fractions are 2844/178,3304/8209
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 2844/178,3304/8209, numerators are 2844,3304
Denominators are 178,8209
The GCF of 2844,3304 is 4 .
LCM of 178,8209 is 1461202.
The greatest common factor of 2844/178,3304/8209 = [GCF of 2844,3304]/[LCM of 178,8209]= 4/1461202
Therefore, the GCF of 2844/178,3304/8209 is 4/1461202.
To find the highest common factor of 2844,3304, we have to find the factors of both numbers and list the highest common factor.
The factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304
The HCF of 2844,3304 is 4.
Lets's calculate GCF of 2844,3304
| 2 | 2844, 3304 |
| 2 | 1422, 1652 |
| 711, 826 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2844,3304 By Matching Biggest Common Factor Method
Now, list down the factors of 2844
:1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844
Now, list down the factors of 3304
:1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 2844,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 2844,3304 is 4.
Lets's calculate LCM of 178,8209
Given numbers has no common factors except 1. So, there LCM is their product i.e 1461202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1461202
Therefore, the GCF of Fractions 2844/178,3304/8209 is 4/1461202
Least Common Multiple of 178,8209 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 178,8209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,8209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,8209) x common factors =1 x 1 = 1
LCM(178,8209) = ( 178 × 8209 ) / 1
LCM(178,8209) = 1461202 / 1
LCM(178,8209) = 1461202
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FAQs on GCF of Fractions of 2844/178, 3304/8209
1. What is the HCF of 2844,3304?
The HCF of 2844,3304 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 2844/178, 3304/8209?
Answer: GCF of Numerators as per given numbers 2844/178, 3304/8209 is
GCF of Numerators i.e. for 2844,3304 is 4
LCM of denominators i.e. for 178,8209 is 1461202.
Thus, GCF of Fractions is 4/1461202.Finally, GCF of Fractions for 2844/178, 3304/8209 is 4/1461202.