GCF of 3341/702, 2189/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3341/702, 2189/774 i.e 1/30186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3341/702, 2189/774.
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 3341/702,2189/774?
Given fractions are 3341/702,2189/774
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 3341/702,2189/774, numerators are 3341,2189
Denominators are 702,774
The GCF of 3341,2189 is 1 .
LCM of 702,774 is 30186.
The greatest common factor of 3341/702,2189/774 = [GCF of 3341,2189]/[LCM of 702,774]= 1/30186
Therefore, the GCF of 3341/702,2189/774 is 1/30186.
To find the highest common factor of 3341,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 3341 are 1, 13, 257, 3341
The factors of 2189 are 1, 11, 199, 2189
The HCF of 3341,2189 is 1.
Lets's calculate GCF of 3341,2189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3341,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 3341
:1,13,257,3341
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 3341,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 3341,2189 is 1.
Lets's calculate LCM of 702,774
| 2 | 702, 774 |
| 3 | 351, 387 |
| 3 | 117, 129 |
| 39, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 39 x 43 = 30186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30186
Therefore, the GCF of Fractions 3341/702,2189/774 is 1/30186
Least Common Multiple of 702,774 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 702,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,774) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(702,774) x common factors =18 x 1 = 18
LCM(702,774) = ( 702 × 774 ) / 18
LCM(702,774) = 543348 / 18
LCM(702,774) = 30186
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FAQs on GCF of Fractions of 3341/702, 2189/774
1. What is the HCF of 3341,2189?
The HCF of 3341,2189 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 3341/702, 2189/774?
Answer: GCF of Numerators as per given numbers 3341/702, 2189/774 is
GCF of Numerators i.e. for 3341,2189 is 1
LCM of denominators i.e. for 702,774 is 30186.
Thus, GCF of Fractions is 1/30186.Finally, GCF of Fractions for 3341/702, 2189/774 is 1/30186.