GCF of 3429/564, 1945/2918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3429/564, 1945/2918 i.e 1/822876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3429/564, 1945/2918.
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 3429/564,1945/2918?
Given fractions are 3429/564,1945/2918
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 3429/564,1945/2918, numerators are 3429,1945
Denominators are 564,2918
The GCF of 3429,1945 is 1 .
LCM of 564,2918 is 822876.
The greatest common factor of 3429/564,1945/2918 = [GCF of 3429,1945]/[LCM of 564,2918]= 1/822876
Therefore, the GCF of 3429/564,1945/2918 is 1/822876.
To find the highest common factor of 3429,1945, we have to find the factors of both numbers and list the highest common factor.
The factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429
The factors of 1945 are 1, 5, 389, 1945
The HCF of 3429,1945 is 1.
Lets's calculate GCF of 3429,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3429,1945 By Matching Biggest Common Factor Method
Now, list down the factors of 3429
:1,3,9,27,127,381,1143,3429
Now, list down the factors of 1945
:1,5,389,1945
Greatest Common Factor
We found the factors 3429,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 3429,1945 is 1.
Lets's calculate LCM of 564,2918
| 2 | 564, 2918 |
| 282, 1459 |
∴ So the LCM of the given numbers is 2 x 282 x 1459 = 822876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/822876
Therefore, the GCF of Fractions 3429/564,1945/2918 is 1/822876
Least Common Multiple of 564,2918 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 564,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2918) x common factors =2 x 1 = 2
LCM(564,2918) = ( 564 × 2918 ) / 2
LCM(564,2918) = 1645752 / 2
LCM(564,2918) = 822876
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FAQs on GCF of Fractions of 3429/564, 1945/2918
1. What is the HCF of 3429,1945?
The HCF of 3429,1945 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 3429/564, 1945/2918?
Answer: GCF of Numerators as per given numbers 3429/564, 1945/2918 is
GCF of Numerators i.e. for 3429,1945 is 1
LCM of denominators i.e. for 564,2918 is 822876.
Thus, GCF of Fractions is 1/822876.Finally, GCF of Fractions for 3429/564, 1945/2918 is 1/822876.