How to Find GCF of 42/949, 17/358, 125/219?

GCF of 42/949, 17/358, 125/219

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 42/949, 17/358, 125/219 i.e 1/1019226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/949, 17/358, 125/219.

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 42/949,17/358,125/219?

Given fractions are 42/949,17/358,125/219

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 42/949,17/358,125/219, numerators are 42,17,125

Denominators are 949,358,219

The GCF of 42,17,125 is 1 .

LCM of 949,358,219 is 1019226.

The greatest common factor of 42/949,17/358,125/219 = [GCF of 42,17,125]/[LCM of 949,358,219]= 1/1019226

Therefore, the GCF of 42/949,17/358,125/219 is 1/1019226.

Greatest Common Factor of 42,17,125

To find the highest common factor of 42,17,125, we have to find the factors of both numbers and list the highest common factor.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 17 are 1, 17

The factors of 125 are 1, 5, 25, 125

The HCF of 42,17,125 is 1.

Lets's calculate GCF of 42,17,125

Greatest Common Factor (GCF) of 42,17,125 By Common Division

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

Greatest Common Factor of 42,17,125 By Matching Biggest Common Factor Method

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 17

1,17

Now, list down the factors of 125

1,5,25,125

Greatest Common Factor

We found the factors 42,17,125 . The biggest common factor number is the GCF number.
So the greatest common factor 42,17,125 is 1.

Lets's calculate LCM of 949,358,219

Lowest Common Multiple of 949,358,219 using Common Division

73	949, 358, 219
	13, 358, 3

∴ So the LCM of the given numbers is 73 x 13 x 358 x 3 = 1019226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1019226

Therefore, the GCF of Fractions 42/949,17/358,125/219 is 1/1019226

Least Common Multiple of 949,358,219 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 949,358,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,358,219) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(949,358,219) x common factors =1 x 73 = 73

LCM(949,358,219) = ( 949 × 358 × 219 ) / 73

LCM(949,358,219) = 74403498 / 73

LCM(949,358,219) = 1019226

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 42/949, 17/358, 125/219

1. What is the HCF of 42,17,125?

The HCF of 42,17,125 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 42/949, 17/358, 125/219?

Answer: GCF of Numerators as per given numbers 42/949, 17/358, 125/219 is

GCF of Numerators i.e. for 42,17,125 is 1

LCM of denominators i.e. for 949,358,219 is 1019226.

Thus, GCF of Fractions is 1/1019226.Finally, GCF of Fractions for 42/949, 17/358, 125/219 is 1/1019226.