GCF of 3532/854, 1434/2866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3532/854, 1434/2866 i.e 2/1223782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3532/854, 1434/2866.
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 3532/854,1434/2866?
Given fractions are 3532/854,1434/2866
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 3532/854,1434/2866, numerators are 3532,1434
Denominators are 854,2866
The GCF of 3532,1434 is 2 .
LCM of 854,2866 is 1223782.
The greatest common factor of 3532/854,1434/2866 = [GCF of 3532,1434]/[LCM of 854,2866]= 2/1223782
Therefore, the GCF of 3532/854,1434/2866 is 2/1223782.
To find the highest common factor of 3532,1434, we have to find the factors of both numbers and list the highest common factor.
The factors of 3532 are 1, 2, 4, 883, 1766, 3532
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434
The HCF of 3532,1434 is 2.
Lets's calculate GCF of 3532,1434
| 2 | 3532, 1434 |
| 1766, 717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3532,1434 By Matching Biggest Common Factor Method
Now, list down the factors of 3532
:1,2,4,883,1766,3532
Now, list down the factors of 1434
:1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 3532,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 3532,1434 is 2.
Lets's calculate LCM of 854,2866
| 2 | 854, 2866 |
| 427, 1433 |
∴ So the LCM of the given numbers is 2 x 427 x 1433 = 1223782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1223782
Therefore, the GCF of Fractions 3532/854,1434/2866 is 2/1223782
Least Common Multiple of 854,2866 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 854,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,2866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,2866) x common factors =2 x 1 = 2
LCM(854,2866) = ( 854 × 2866 ) / 2
LCM(854,2866) = 2447564 / 2
LCM(854,2866) = 1223782
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FAQs on GCF of Fractions of 3532/854, 1434/2866
1. What is the HCF of 3532,1434?
The HCF of 3532,1434 is 2
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 3532/854, 1434/2866?
Answer: GCF of Numerators as per given numbers 3532/854, 1434/2866 is
GCF of Numerators i.e. for 3532,1434 is 2
LCM of denominators i.e. for 854,2866 is 1223782.
Thus, GCF of Fractions is 2/1223782.Finally, GCF of Fractions for 3532/854, 1434/2866 is 2/1223782.