GCF of 3546/234, 1052/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3546/234, 1052/9782 i.e 2/1144494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3546/234, 1052/9782.
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 3546/234,1052/9782?
Given fractions are 3546/234,1052/9782
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 3546/234,1052/9782, numerators are 3546,1052
Denominators are 234,9782
The GCF of 3546,1052 is 2 .
LCM of 234,9782 is 1144494.
The greatest common factor of 3546/234,1052/9782 = [GCF of 3546,1052]/[LCM of 234,9782]= 2/1144494
Therefore, the GCF of 3546/234,1052/9782 is 2/1144494.
To find the highest common factor of 3546,1052, we have to find the factors of both numbers and list the highest common factor.
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The factors of 1052 are 1, 2, 4, 263, 526, 1052
The HCF of 3546,1052 is 2.
Lets's calculate GCF of 3546,1052
| 2 | 3546, 1052 |
| 1773, 526 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3546,1052 By Matching Biggest Common Factor Method
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Now, list down the factors of 1052
:1,2,4,263,526,1052
Greatest Common Factor
We found the factors 3546,1052 . The biggest common factor number is the GCF number.
So the greatest common factor 3546,1052 is 2.
Lets's calculate LCM of 234,9782
| 2 | 234, 9782 |
| 117, 4891 |
∴ So the LCM of the given numbers is 2 x 117 x 4891 = 1144494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1144494
Therefore, the GCF of Fractions 3546/234,1052/9782 is 2/1144494
Least Common Multiple of 234,9782 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 234,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,9782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,9782) x common factors =2 x 1 = 2
LCM(234,9782) = ( 234 × 9782 ) / 2
LCM(234,9782) = 2288988 / 2
LCM(234,9782) = 1144494
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FAQs on GCF of Fractions of 3546/234, 1052/9782
1. What is the HCF of 3546,1052?
The HCF of 3546,1052 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 3546/234, 1052/9782?
Answer: GCF of Numerators as per given numbers 3546/234, 1052/9782 is
GCF of Numerators i.e. for 3546,1052 is 2
LCM of denominators i.e. for 234,9782 is 1144494.
Thus, GCF of Fractions is 2/1144494.Finally, GCF of Fractions for 3546/234, 1052/9782 is 2/1144494.