How to Find GCF of 6652/674, 3048/241?

GCF of 6652/674, 3048/241

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 6652/674, 3048/241 i.e 4/162434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6652/674, 3048/241.

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 6652/674,3048/241?

Given fractions are 6652/674,3048/241

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 6652/674,3048/241, numerators are 6652,3048

Denominators are 674,241

The GCF of 6652,3048 is 4 .

LCM of 674,241 is 162434.

The greatest common factor of 6652/674,3048/241 = [GCF of 6652,3048]/[LCM of 674,241]= 4/162434

Therefore, the GCF of 6652/674,3048/241 is 4/162434.

Greatest Common Factor of 6652,3048

To find the highest common factor of 6652,3048, we have to find the factors of both numbers and list the highest common factor.

The factors of 6652 are 1, 2, 4, 1663, 3326, 6652

The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

The HCF of 6652,3048 is 4.

Lets's calculate GCF of 6652,3048

Greatest Common Factor (GCF) of 6652,3048 By Common Division

2	6652, 3048
2	3326, 1524
	1663, 762

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6652,3048 By Matching Biggest Common Factor Method

Now, list down the factors of 6652

1,2,4,1663,3326,6652

Now, list down the factors of 3048

1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048

Greatest Common Factor

We found the factors 6652,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 6652,3048 is 4.

Lets's calculate LCM of 674,241

Lowest Common Multiple of 674,241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 162434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/162434

Therefore, the GCF of Fractions 6652/674,3048/241 is 4/162434

Least Common Multiple of 674,241 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 674,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,241) = 1

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

GCF(674,241) x common factors =1 x 1 = 1

LCM(674,241) = ( 674 × 241 ) / 1

LCM(674,241) = 162434 / 1

LCM(674,241) = 162434

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FAQs on GCF of Fractions of 6652/674, 3048/241

1. What is the HCF of 6652,3048?

The HCF of 6652,3048 is 4

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 6652/674, 3048/241?

Answer: GCF of Numerators as per given numbers 6652/674, 3048/241 is

GCF of Numerators i.e. for 6652,3048 is 4

LCM of denominators i.e. for 674,241 is 162434.

Thus, GCF of Fractions is 4/162434.Finally, GCF of Fractions for 6652/674, 3048/241 is 4/162434.