GCF of 2931/504, 6549/6546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2931/504, 6549/6546 i.e 3/549864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2931/504, 6549/6546.
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 2931/504,6549/6546?
Given fractions are 2931/504,6549/6546
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 2931/504,6549/6546, numerators are 2931,6549
Denominators are 504,6546
The GCF of 2931,6549 is 3 .
LCM of 504,6546 is 549864.
The greatest common factor of 2931/504,6549/6546 = [GCF of 2931,6549]/[LCM of 504,6546]= 3/549864
Therefore, the GCF of 2931/504,6549/6546 is 3/549864.
To find the highest common factor of 2931,6549, we have to find the factors of both numbers and list the highest common factor.
The factors of 2931 are 1, 3, 977, 2931
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The HCF of 2931,6549 is 3.
Lets's calculate GCF of 2931,6549
| 3 | 2931, 6549 |
| 977, 2183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2931,6549 By Matching Biggest Common Factor Method
Now, list down the factors of 2931
:1,3,977,2931
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Greatest Common Factor
We found the factors 2931,6549 . The biggest common factor number is the GCF number.
So the greatest common factor 2931,6549 is 3.
Lets's calculate LCM of 504,6546
| 2 | 504, 6546 |
| 3 | 252, 3273 |
| 84, 1091 |
∴ So the LCM of the given numbers is 2 x 3 x 84 x 1091 = 549864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/549864
Therefore, the GCF of Fractions 2931/504,6549/6546 is 3/549864
Least Common Multiple of 504,6546 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 504,6546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,6546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(504,6546) x common factors =6 x 1 = 6
LCM(504,6546) = ( 504 × 6546 ) / 6
LCM(504,6546) = 3299184 / 6
LCM(504,6546) = 549864
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FAQs on GCF of Fractions of 2931/504, 6549/6546
1. What is the HCF of 2931,6549?
The HCF of 2931,6549 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 2931/504, 6549/6546?
Answer: GCF of Numerators as per given numbers 2931/504, 6549/6546 is
GCF of Numerators i.e. for 2931,6549 is 3
LCM of denominators i.e. for 504,6546 is 549864.
Thus, GCF of Fractions is 3/549864.Finally, GCF of Fractions for 2931/504, 6549/6546 is 3/549864.