How to Find GCF of 940/626, 5701/166?

GCF of 940/626, 5701/166

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 940/626, 5701/166 i.e 1/51958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/626, 5701/166.

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 940/626,5701/166?

Given fractions are 940/626,5701/166

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 940/626,5701/166, numerators are 940,5701

Denominators are 626,166

The GCF of 940,5701 is 1 .

LCM of 626,166 is 51958.

The greatest common factor of 940/626,5701/166 = [GCF of 940,5701]/[LCM of 626,166]= 1/51958

Therefore, the GCF of 940/626,5701/166 is 1/51958.

Greatest Common Factor of 940,5701

To find the highest common factor of 940,5701, we have to find the factors of both numbers and list the highest common factor.

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The factors of 5701 are 1, 5701

The HCF of 940,5701 is 1.

Lets's calculate GCF of 940,5701

Greatest Common Factor (GCF) of 940,5701 By Common Division

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

Greatest Common Factor of 940,5701 By Matching Biggest Common Factor Method

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 5701

1,5701

Greatest Common Factor

We found the factors 940,5701 . The biggest common factor number is the GCF number.
So the greatest common factor 940,5701 is 1.

Lets's calculate LCM of 626,166

Lowest Common Multiple of 626,166 using Common Division

2	626, 166
	313, 83

∴ So the LCM of the given numbers is 2 x 313 x 83 = 51958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51958

Therefore, the GCF of Fractions 940/626,5701/166 is 1/51958

Least Common Multiple of 626,166 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 626,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,166) = 2

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

GCF(626,166) x common factors =2 x 1 = 2

LCM(626,166) = ( 626 × 166 ) / 2

LCM(626,166) = 103916 / 2

LCM(626,166) = 51958

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 940/626, 5701/166

1. What is the HCF of 940,5701?

The HCF of 940,5701 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 940/626, 5701/166?

Answer: GCF of Numerators as per given numbers 940/626, 5701/166 is

GCF of Numerators i.e. for 940,5701 is 1

LCM of denominators i.e. for 626,166 is 51958.

Thus, GCF of Fractions is 1/51958.Finally, GCF of Fractions for 940/626, 5701/166 is 1/51958.