GCF of 2748/164, 3385/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2748/164, 3385/682 i.e 1/55924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2748/164, 3385/682.
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 2748/164,3385/682?
Given fractions are 2748/164,3385/682
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 2748/164,3385/682, numerators are 2748,3385
Denominators are 164,682
The GCF of 2748,3385 is 1 .
LCM of 164,682 is 55924.
The greatest common factor of 2748/164,3385/682 = [GCF of 2748,3385]/[LCM of 164,682]= 1/55924
Therefore, the GCF of 2748/164,3385/682 is 1/55924.
To find the highest common factor of 2748,3385, we have to find the factors of both numbers and list the highest common factor.
The factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748
The factors of 3385 are 1, 5, 677, 3385
The HCF of 2748,3385 is 1.
Lets's calculate GCF of 2748,3385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2748,3385 By Matching Biggest Common Factor Method
Now, list down the factors of 2748
:1,2,3,4,6,12,229,458,687,916,1374,2748
Now, list down the factors of 3385
:1,5,677,3385
Greatest Common Factor
We found the factors 2748,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 2748,3385 is 1.
Lets's calculate LCM of 164,682
| 2 | 164, 682 |
| 82, 341 |
∴ So the LCM of the given numbers is 2 x 82 x 341 = 55924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55924
Therefore, the GCF of Fractions 2748/164,3385/682 is 1/55924
Least Common Multiple of 164,682 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 164,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,682) x common factors =2 x 1 = 2
LCM(164,682) = ( 164 × 682 ) / 2
LCM(164,682) = 111848 / 2
LCM(164,682) = 55924
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FAQs on GCF of Fractions of 2748/164, 3385/682
1. What is the HCF of 2748,3385?
The HCF of 2748,3385 is 1
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 2748/164, 3385/682?
Answer: GCF of Numerators as per given numbers 2748/164, 3385/682 is
GCF of Numerators i.e. for 2748,3385 is 1
LCM of denominators i.e. for 164,682 is 55924.
Thus, GCF of Fractions is 1/55924.Finally, GCF of Fractions for 2748/164, 3385/682 is 1/55924.