How to Find GCF of 374/460, 139/792, 442/173?

GCF of 374/460, 139/792, 442/173

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 374/460, 139/792, 442/173 i.e 1/15756840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/460, 139/792, 442/173.

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 374/460,139/792,442/173?

Given fractions are 374/460,139/792,442/173

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 374/460,139/792,442/173, numerators are 374,139,442

Denominators are 460,792,173

The GCF of 374,139,442 is 1 .

LCM of 460,792,173 is 15756840.

The greatest common factor of 374/460,139/792,442/173 = [GCF of 374,139,442]/[LCM of 460,792,173]= 1/15756840

Therefore, the GCF of 374/460,139/792,442/173 is 1/15756840.

Greatest Common Factor of 374,139,442

To find the highest common factor of 374,139,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The factors of 139 are 1, 139

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 374,139,442 is 1.

Lets's calculate GCF of 374,139,442

Greatest Common Factor (GCF) of 374,139,442 By Common Division

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

Greatest Common Factor of 374,139,442 By Matching Biggest Common Factor Method

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Now, list down the factors of 139

1,139

Now, list down the factors of 442

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 374,139,442 . The biggest common factor number is the GCF number.
So the greatest common factor 374,139,442 is 1.

Lets's calculate LCM of 460,792,173

Lowest Common Multiple of 460,792,173 using Common Division

2	460, 792, 173
2	230, 396, 173
	115, 198, 173

∴ So the LCM of the given numbers is 2 x 2 x 115 x 198 x 173 = 15756840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15756840

Therefore, the GCF of Fractions 374/460,139/792,442/173 is 1/15756840

Least Common Multiple of 460,792,173 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 460,792,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,792,173) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(460,792,173) x common factors =1 x 4 = 4

LCM(460,792,173) = ( 460 × 792 × 173 ) / 4

LCM(460,792,173) = 63027360 / 4

LCM(460,792,173) = 15756840

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 374/460, 139/792, 442/173

1. What is the HCF of 374,139,442?

The HCF of 374,139,442 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 374/460, 139/792, 442/173?

Answer: GCF of Numerators as per given numbers 374/460, 139/792, 442/173 is

GCF of Numerators i.e. for 374,139,442 is 1

LCM of denominators i.e. for 460,792,173 is 15756840.

Thus, GCF of Fractions is 1/15756840.Finally, GCF of Fractions for 374/460, 139/792, 442/173 is 1/15756840.