GCF of 2851/362, 3275/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2851/362, 3275/898 i.e 1/162538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2851/362, 3275/898.
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 2851/362,3275/898?
Given fractions are 2851/362,3275/898
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 2851/362,3275/898, numerators are 2851,3275
Denominators are 362,898
The GCF of 2851,3275 is 1 .
LCM of 362,898 is 162538.
The greatest common factor of 2851/362,3275/898 = [GCF of 2851,3275]/[LCM of 362,898]= 1/162538
Therefore, the GCF of 2851/362,3275/898 is 1/162538.
To find the highest common factor of 2851,3275, we have to find the factors of both numbers and list the highest common factor.
The factors of 2851 are 1, 2851
The factors of 3275 are 1, 5, 25, 131, 655, 3275
The HCF of 2851,3275 is 1.
Lets's calculate GCF of 2851,3275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2851,3275 By Matching Biggest Common Factor Method
Now, list down the factors of 2851
:1,2851
Now, list down the factors of 3275
:1,5,25,131,655,3275
Greatest Common Factor
We found the factors 2851,3275 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,3275 is 1.
Lets's calculate LCM of 362,898
| 2 | 362, 898 |
| 181, 449 |
∴ So the LCM of the given numbers is 2 x 181 x 449 = 162538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162538
Therefore, the GCF of Fractions 2851/362,3275/898 is 1/162538
Least Common Multiple of 362,898 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 362,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,898) x common factors =2 x 1 = 2
LCM(362,898) = ( 362 × 898 ) / 2
LCM(362,898) = 325076 / 2
LCM(362,898) = 162538
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FAQs on GCF of Fractions of 2851/362, 3275/898
1. What is the HCF of 2851,3275?
The HCF of 2851,3275 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 2851/362, 3275/898?
Answer: GCF of Numerators as per given numbers 2851/362, 3275/898 is
GCF of Numerators i.e. for 2851,3275 is 1
LCM of denominators i.e. for 362,898 is 162538.
Thus, GCF of Fractions is 1/162538.Finally, GCF of Fractions for 2851/362, 3275/898 is 1/162538.