How to Find GCF of 949/743, 6058/645?

GCF of 949/743, 6058/645

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 949/743, 6058/645 i.e 13/479235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/743, 6058/645.

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 949/743,6058/645?

Given fractions are 949/743,6058/645

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 949/743,6058/645, numerators are 949,6058

Denominators are 743,645

The GCF of 949,6058 is 13 .

LCM of 743,645 is 479235.

The greatest common factor of 949/743,6058/645 = [GCF of 949,6058]/[LCM of 743,645]= 13/479235

Therefore, the GCF of 949/743,6058/645 is 13/479235.

Greatest Common Factor of 949,6058

To find the highest common factor of 949,6058, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058

The HCF of 949,6058 is 13.

Lets's calculate GCF of 949,6058

Greatest Common Factor (GCF) of 949,6058 By Common Division

13	949, 6058
	73, 466

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 949,6058 By Matching Biggest Common Factor Method

Now, list down the factors of 949

1,13,73,949

Now, list down the factors of 6058

1,2,13,26,233,466,3029,6058

Greatest Common Factor

We found the factors 949,6058 . The biggest common factor number is the GCF number.
So the greatest common factor 949,6058 is 13.

Lets's calculate LCM of 743,645

Lowest Common Multiple of 743,645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 479235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/479235

Therefore, the GCF of Fractions 949/743,6058/645 is 13/479235

Least Common Multiple of 743,645 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 743,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,645) = 1

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

GCF(743,645) x common factors =1 x 1 = 1

LCM(743,645) = ( 743 × 645 ) / 1

LCM(743,645) = 479235 / 1

LCM(743,645) = 479235

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FAQs on GCF of Fractions of 949/743, 6058/645

1. What is the HCF of 949,6058?

The HCF of 949,6058 is 13

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 949/743, 6058/645?

Answer: GCF of Numerators as per given numbers 949/743, 6058/645 is

GCF of Numerators i.e. for 949,6058 is 13

LCM of denominators i.e. for 743,645 is 479235.

Thus, GCF of Fractions is 13/479235.Finally, GCF of Fractions for 949/743, 6058/645 is 13/479235.