How to Find GCF of 674/491, 149/856, 293/840?

GCF of 674/491, 149/856, 293/840

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 674/491, 149/856, 293/840 i.e 1/44131080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/491, 149/856, 293/840.

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 674/491,149/856,293/840?

Given fractions are 674/491,149/856,293/840

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 674/491,149/856,293/840, numerators are 674,149,293

Denominators are 491,856,840

The GCF of 674,149,293 is 1 .

LCM of 491,856,840 is 44131080.

The greatest common factor of 674/491,149/856,293/840 = [GCF of 674,149,293]/[LCM of 491,856,840]= 1/44131080

Therefore, the GCF of 674/491,149/856,293/840 is 1/44131080.

Greatest Common Factor of 674,149,293

To find the highest common factor of 674,149,293, we have to find the factors of both numbers and list the highest common factor.

The factors of 674 are 1, 2, 337, 674

The factors of 149 are 1, 149

The factors of 293 are 1, 293

The HCF of 674,149,293 is 1.

Lets's calculate GCF of 674,149,293

Greatest Common Factor (GCF) of 674,149,293 By Common Division

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

Greatest Common Factor of 674,149,293 By Matching Biggest Common Factor Method

Now, list down the factors of 674

1,2,337,674

Now, list down the factors of 149

1,149

Now, list down the factors of 293

1,293

Greatest Common Factor

We found the factors 674,149,293 . The biggest common factor number is the GCF number.
So the greatest common factor 674,149,293 is 1.

Lets's calculate LCM of 491,856,840

Lowest Common Multiple of 491,856,840 using Common Division

2	491, 856, 840
2	491, 428, 420
2	491, 214, 210
	491, 107, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 491 x 107 x 105 = 44131080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44131080

Therefore, the GCF of Fractions 674/491,149/856,293/840 is 1/44131080

Least Common Multiple of 491,856,840 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 491,856,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,856,840) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(491,856,840) x common factors =1 x 8 = 8

LCM(491,856,840) = ( 491 × 856 × 840 ) / 8

LCM(491,856,840) = 353048640 / 8

LCM(491,856,840) = 44131080

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 674/491, 149/856, 293/840

1. What is the HCF of 674,149,293?

The HCF of 674,149,293 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 674/491, 149/856, 293/840?

Answer: GCF of Numerators as per given numbers 674/491, 149/856, 293/840 is

GCF of Numerators i.e. for 674,149,293 is 1

LCM of denominators i.e. for 491,856,840 is 44131080.

Thus, GCF of Fractions is 1/44131080.Finally, GCF of Fractions for 674/491, 149/856, 293/840 is 1/44131080.