GCF of 2660/267, 3546/9534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2660/267, 3546/9534 i.e 2/848526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/267, 3546/9534.
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 2660/267,3546/9534?
Given fractions are 2660/267,3546/9534
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 2660/267,3546/9534, numerators are 2660,3546
Denominators are 267,9534
The GCF of 2660,3546 is 2 .
LCM of 267,9534 is 848526.
The greatest common factor of 2660/267,3546/9534 = [GCF of 2660,3546]/[LCM of 267,9534]= 2/848526
Therefore, the GCF of 2660/267,3546/9534 is 2/848526.
To find the highest common factor of 2660,3546, we have to find the factors of both numbers and list the highest common factor.
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The HCF of 2660,3546 is 2.
Lets's calculate GCF of 2660,3546
| 2 | 2660, 3546 |
| 1330, 1773 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2660,3546 By Matching Biggest Common Factor Method
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Greatest Common Factor
We found the factors 2660,3546 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,3546 is 2.
Lets's calculate LCM of 267,9534
| 3 | 267, 9534 |
| 89, 3178 |
∴ So the LCM of the given numbers is 3 x 89 x 3178 = 848526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/848526
Therefore, the GCF of Fractions 2660/267,3546/9534 is 2/848526
Least Common Multiple of 267,9534 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 267,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,9534) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,9534) x common factors =3 x 1 = 3
LCM(267,9534) = ( 267 × 9534 ) / 3
LCM(267,9534) = 2545578 / 3
LCM(267,9534) = 848526
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FAQs on GCF of Fractions of 2660/267, 3546/9534
1. What is the HCF of 2660,3546?
The HCF of 2660,3546 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 2660/267, 3546/9534?
Answer: GCF of Numerators as per given numbers 2660/267, 3546/9534 is
GCF of Numerators i.e. for 2660,3546 is 2
LCM of denominators i.e. for 267,9534 is 848526.
Thus, GCF of Fractions is 2/848526.Finally, GCF of Fractions for 2660/267, 3546/9534 is 2/848526.