GCF of 3248/271, 2780/3388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3248/271, 2780/3388 i.e 4/918148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3248/271, 2780/3388.
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 3248/271,2780/3388?
Given fractions are 3248/271,2780/3388
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 3248/271,2780/3388, numerators are 3248,2780
Denominators are 271,3388
The GCF of 3248,2780 is 4 .
LCM of 271,3388 is 918148.
The greatest common factor of 3248/271,2780/3388 = [GCF of 3248,2780]/[LCM of 271,3388]= 4/918148
Therefore, the GCF of 3248/271,2780/3388 is 4/918148.
To find the highest common factor of 3248,2780, we have to find the factors of both numbers and list the highest common factor.
The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248
The factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780
The HCF of 3248,2780 is 4.
Lets's calculate GCF of 3248,2780
| 2 | 3248, 2780 |
| 2 | 1624, 1390 |
| 812, 695 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3248,2780 By Matching Biggest Common Factor Method
Now, list down the factors of 3248
:1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248
Now, list down the factors of 2780
:1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors 3248,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 3248,2780 is 4.
Lets's calculate LCM of 271,3388
Given numbers has no common factors except 1. So, there LCM is their product i.e 918148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/918148
Therefore, the GCF of Fractions 3248/271,2780/3388 is 4/918148
Least Common Multiple of 271,3388 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 271,3388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,3388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,3388) x common factors =1 x 1 = 1
LCM(271,3388) = ( 271 × 3388 ) / 1
LCM(271,3388) = 918148 / 1
LCM(271,3388) = 918148
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FAQs on GCF of Fractions of 3248/271, 2780/3388
1. What is the HCF of 3248,2780?
The HCF of 3248,2780 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 3248/271, 2780/3388?
Answer: GCF of Numerators as per given numbers 3248/271, 2780/3388 is
GCF of Numerators i.e. for 3248,2780 is 4
LCM of denominators i.e. for 271,3388 is 918148.
Thus, GCF of Fractions is 4/918148.Finally, GCF of Fractions for 3248/271, 2780/3388 is 4/918148.