GCF of 3495/772, 2082/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3495/772, 2082/546 i.e 3/210756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3495/772, 2082/546.
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 3495/772,2082/546?
Given fractions are 3495/772,2082/546
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 3495/772,2082/546, numerators are 3495,2082
Denominators are 772,546
The GCF of 3495,2082 is 3 .
LCM of 772,546 is 210756.
The greatest common factor of 3495/772,2082/546 = [GCF of 3495,2082]/[LCM of 772,546]= 3/210756
Therefore, the GCF of 3495/772,2082/546 is 3/210756.
To find the highest common factor of 3495,2082, we have to find the factors of both numbers and list the highest common factor.
The factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495
The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082
The HCF of 3495,2082 is 3.
Lets's calculate GCF of 3495,2082
| 3 | 3495, 2082 |
| 1165, 694 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3495,2082 By Matching Biggest Common Factor Method
Now, list down the factors of 3495
:1,3,5,15,233,699,1165,3495
Now, list down the factors of 2082
:1,2,3,6,347,694,1041,2082
Greatest Common Factor
We found the factors 3495,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 3495,2082 is 3.
Lets's calculate LCM of 772,546
| 2 | 772, 546 |
| 386, 273 |
∴ So the LCM of the given numbers is 2 x 386 x 273 = 210756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/210756
Therefore, the GCF of Fractions 3495/772,2082/546 is 3/210756
Least Common Multiple of 772,546 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 772,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,546) x common factors =2 x 1 = 2
LCM(772,546) = ( 772 × 546 ) / 2
LCM(772,546) = 421512 / 2
LCM(772,546) = 210756
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FAQs on GCF of Fractions of 3495/772, 2082/546
1. What is the HCF of 3495,2082?
The HCF of 3495,2082 is 3
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 3495/772, 2082/546?
Answer: GCF of Numerators as per given numbers 3495/772, 2082/546 is
GCF of Numerators i.e. for 3495,2082 is 3
LCM of denominators i.e. for 772,546 is 210756.
Thus, GCF of Fractions is 3/210756.Finally, GCF of Fractions for 3495/772, 2082/546 is 3/210756.