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GCF of 742/22, 950/404

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 742/22, 950/404 i.e 2/4444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/22, 950/404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 742/22,950/404?

Given fractions are 742/22,950/404

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 742/22,950/404, numerators are 742,950

Denominators are 22,404

The GCF of 742,950 is 2 .

LCM of 22,404 is 4444.

The greatest common factor of 742/22,950/404 = [GCF of 742,950]/[LCM of 22,404]= 2/4444

Therefore, the GCF of 742/22,950/404 is 2/4444.

Greatest Common Factor of 742,950

To find the highest common factor of 742,950, we have to find the factors of both numbers and list the highest common factor.

The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The HCF of 742,950 is 2.

Lets's calculate GCF of 742,950

Greatest Common Factor (GCF) of 742,950 By Common Division

2 742, 950
371, 475

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 742,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,950 By Matching Biggest Common Factor Method

Now, list down the factors of 742

:

1,2,7,14,53,106,371,742

Now, list down the factors of 950

:

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 742,950 . The biggest common factor number is the GCF number.
So the greatest common factor 742,950 is 2.

Lets's calculate LCM of 22,404

Lowest Common Multiple of 22,404 using Common Division

2 22, 404
11, 202

∴ So the LCM of the given numbers is 2 x 11 x 202 = 4444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4444

Therefore, the GCF of Fractions 742/22,950/404 is 2/4444

Least Common Multiple of 22,404 with GCF Formula

Least Common Multiple of 22,404 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 22,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,404) = 2

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

GCF(22,404) x common factors =2 x 1 = 2

LCM(22,404) = ( 22 × 404 ) / 2

LCM(22,404) = 8888 / 2

LCM(22,404) = 4444


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FAQs on GCF of Fractions of 742/22, 950/404

1. What is the HCF of 742,950?

The HCF of 742,950 is 2

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 742/22, 950/404?

Answer: GCF of Numerators as per given numbers 742/22, 950/404 is

GCF of Numerators i.e. for 742,950 is 2

LCM of denominators i.e. for 22,404 is 4444.

Thus, GCF of Fractions is 2/4444.Finally, GCF of Fractions for 742/22, 950/404 is 2/4444.