GCF of 3546/764, 7642/4482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3546/764, 7642/4482 i.e 2/1712124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3546/764, 7642/4482.
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 3546/764,7642/4482?
Given fractions are 3546/764,7642/4482
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 3546/764,7642/4482, numerators are 3546,7642
Denominators are 764,4482
The GCF of 3546,7642 is 2 .
LCM of 764,4482 is 1712124.
The greatest common factor of 3546/764,7642/4482 = [GCF of 3546,7642]/[LCM of 764,4482]= 2/1712124
Therefore, the GCF of 3546/764,7642/4482 is 2/1712124.
To find the highest common factor of 3546,7642, 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 7642 are 1, 2, 3821, 7642
The HCF of 3546,7642 is 2.
Lets's calculate GCF of 3546,7642
| 2 | 3546, 7642 |
| 1773, 3821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3546,7642 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 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 3546,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 3546,7642 is 2.
Lets's calculate LCM of 764,4482
| 2 | 764, 4482 |
| 382, 2241 |
∴ So the LCM of the given numbers is 2 x 382 x 2241 = 1712124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1712124
Therefore, the GCF of Fractions 3546/764,7642/4482 is 2/1712124
Least Common Multiple of 764,4482 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 764,4482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,4482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,4482) x common factors =2 x 1 = 2
LCM(764,4482) = ( 764 × 4482 ) / 2
LCM(764,4482) = 3424248 / 2
LCM(764,4482) = 1712124
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FAQs on GCF of Fractions of 3546/764, 7642/4482
1. What is the HCF of 3546,7642?
The HCF of 3546,7642 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 3546/764, 7642/4482?
Answer: GCF of Numerators as per given numbers 3546/764, 7642/4482 is
GCF of Numerators i.e. for 3546,7642 is 2
LCM of denominators i.e. for 764,4482 is 1712124.
Thus, GCF of Fractions is 2/1712124.Finally, GCF of Fractions for 3546/764, 7642/4482 is 2/1712124.