How to Find GCF of 6548/314, 6106/1653?

GCF of 6548/314, 6106/1653

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6548/314, 6106/1653 i.e 2/519042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6548/314, 6106/1653.

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 6548/314,6106/1653?

Given fractions are 6548/314,6106/1653

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 6548/314,6106/1653, numerators are 6548,6106

Denominators are 314,1653

The GCF of 6548,6106 is 2 .

LCM of 314,1653 is 519042.

The greatest common factor of 6548/314,6106/1653 = [GCF of 6548,6106]/[LCM of 314,1653]= 2/519042

Therefore, the GCF of 6548/314,6106/1653 is 2/519042.

Greatest Common Factor of 6548,6106

To find the highest common factor of 6548,6106, we have to find the factors of both numbers and list the highest common factor.

The factors of 6548 are 1, 2, 4, 1637, 3274, 6548

The factors of 6106 are 1, 2, 43, 71, 86, 142, 3053, 6106

The HCF of 6548,6106 is 2.

Lets's calculate GCF of 6548,6106

Greatest Common Factor (GCF) of 6548,6106 By Common Division

2	6548, 6106
	3274, 3053

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6548,6106 By Matching Biggest Common Factor Method

Now, list down the factors of 6548

1,2,4,1637,3274,6548

Now, list down the factors of 6106

1,2,43,71,86,142,3053,6106

Greatest Common Factor

We found the factors 6548,6106 . The biggest common factor number is the GCF number.
So the greatest common factor 6548,6106 is 2.

Lets's calculate LCM of 314,1653

Lowest Common Multiple of 314,1653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 519042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519042

Therefore, the GCF of Fractions 6548/314,6106/1653 is 2/519042

Least Common Multiple of 314,1653 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 314,1653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,1653) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(314,1653) x common factors =1 x 1 = 1

LCM(314,1653) = ( 314 × 1653 ) / 1

LCM(314,1653) = 519042 / 1

LCM(314,1653) = 519042

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FAQs on GCF of Fractions of 6548/314, 6106/1653

1. What is the HCF of 6548,6106?

The HCF of 6548,6106 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 6548/314, 6106/1653?

Answer: GCF of Numerators as per given numbers 6548/314, 6106/1653 is

GCF of Numerators i.e. for 6548,6106 is 2

LCM of denominators i.e. for 314,1653 is 519042.

Thus, GCF of Fractions is 2/519042.Finally, GCF of Fractions for 6548/314, 6106/1653 is 2/519042.