GCF of 6585/245, 3489/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6585/245, 3489/224 i.e 3/7840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6585/245, 3489/224.
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 6585/245,3489/224?
Given fractions are 6585/245,3489/224
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 6585/245,3489/224, numerators are 6585,3489
Denominators are 245,224
The GCF of 6585,3489 is 3 .
LCM of 245,224 is 7840.
The greatest common factor of 6585/245,3489/224 = [GCF of 6585,3489]/[LCM of 245,224]= 3/7840
Therefore, the GCF of 6585/245,3489/224 is 3/7840.
To find the highest common factor of 6585,3489, we have to find the factors of both numbers and list the highest common factor.
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The factors of 3489 are 1, 3, 1163, 3489
The HCF of 6585,3489 is 3.
Lets's calculate GCF of 6585,3489
| 3 | 6585, 3489 |
| 2195, 1163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6585,3489 By Matching Biggest Common Factor Method
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Now, list down the factors of 3489
:1,3,1163,3489
Greatest Common Factor
We found the factors 6585,3489 . The biggest common factor number is the GCF number.
So the greatest common factor 6585,3489 is 3.
Lets's calculate LCM of 245,224
| 7 | 245, 224 |
| 35, 32 |
∴ So the LCM of the given numbers is 7 x 35 x 32 = 7840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7840
Therefore, the GCF of Fractions 6585/245,3489/224 is 3/7840
Least Common Multiple of 245,224 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 245,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,224) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(245,224) x common factors =7 x 1 = 7
LCM(245,224) = ( 245 × 224 ) / 7
LCM(245,224) = 54880 / 7
LCM(245,224) = 7840
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FAQs on GCF of Fractions of 6585/245, 3489/224
1. What is the HCF of 6585,3489?
The HCF of 6585,3489 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 6585/245, 3489/224?
Answer: GCF of Numerators as per given numbers 6585/245, 3489/224 is
GCF of Numerators i.e. for 6585,3489 is 3
LCM of denominators i.e. for 245,224 is 7840.
Thus, GCF of Fractions is 3/7840.Finally, GCF of Fractions for 6585/245, 3489/224 is 3/7840.