How to Find GCF of 4675/182, 8073/6758?

GCF of 4675/182, 8073/6758

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 4675/182, 8073/6758 i.e 1/614978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4675/182, 8073/6758.

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 4675/182,8073/6758?

Given fractions are 4675/182,8073/6758

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 4675/182,8073/6758, numerators are 4675,8073

Denominators are 182,6758

The GCF of 4675,8073 is 1 .

LCM of 182,6758 is 614978.

The greatest common factor of 4675/182,8073/6758 = [GCF of 4675,8073]/[LCM of 182,6758]= 1/614978

Therefore, the GCF of 4675/182,8073/6758 is 1/614978.

Greatest Common Factor of 4675,8073

To find the highest common factor of 4675,8073, we have to find the factors of both numbers and list the highest common factor.

The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073

The HCF of 4675,8073 is 1.

Lets's calculate GCF of 4675,8073

Greatest Common Factor (GCF) of 4675,8073 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4675,8073 By Matching Biggest Common Factor Method

Now, list down the factors of 4675

1,5,11,17,25,55,85,187,275,425,935,4675

Now, list down the factors of 8073

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Greatest Common Factor

We found the factors 4675,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,8073 is 1.

Lets's calculate LCM of 182,6758

Lowest Common Multiple of 182,6758 using Common Division

2	182, 6758
	91, 3379

∴ So the LCM of the given numbers is 2 x 91 x 3379 = 614978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614978

Therefore, the GCF of Fractions 4675/182,8073/6758 is 1/614978

Least Common Multiple of 182,6758 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 182,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,6758) = 2

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

GCF(182,6758) x common factors =2 x 1 = 2

LCM(182,6758) = ( 182 × 6758 ) / 2

LCM(182,6758) = 1229956 / 2

LCM(182,6758) = 614978

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FAQs on GCF of Fractions of 4675/182, 8073/6758

1. What is the HCF of 4675,8073?

The HCF of 4675,8073 is 1

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 4675/182, 8073/6758?

Answer: GCF of Numerators as per given numbers 4675/182, 8073/6758 is

GCF of Numerators i.e. for 4675,8073 is 1

LCM of denominators i.e. for 182,6758 is 614978.

Thus, GCF of Fractions is 1/614978.Finally, GCF of Fractions for 4675/182, 8073/6758 is 1/614978.