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GCF of 50/206, 74/5753

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 50/206, 74/5753 i.e 2/1185118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/206, 74/5753.

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 50/206,74/5753?

Given fractions are 50/206,74/5753

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 50/206,74/5753, numerators are 50,74

Denominators are 206,5753

The GCF of 50,74 is 2 .

LCM of 206,5753 is 1185118.

The greatest common factor of 50/206,74/5753 = [GCF of 50,74]/[LCM of 206,5753]= 2/1185118

Therefore, the GCF of 50/206,74/5753 is 2/1185118.

Greatest Common Factor of 50,74

To find the highest common factor of 50,74, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 74 are 1, 2, 37, 74

The HCF of 50,74 is 2.

Lets's calculate GCF of 50,74

Greatest Common Factor (GCF) of 50,74 By Common Division

2 50, 74
25, 37

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

Greatest Common Factor of 50,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,74 By Matching Biggest Common Factor Method

Now, list down the factors of 50

:

1,2,5,10,25,50

Now, list down the factors of 74

:

1,2,37,74

Greatest Common Factor

We found the factors 50,74 . The biggest common factor number is the GCF number.
So the greatest common factor 50,74 is 2.

Lets's calculate LCM of 206,5753

Lowest Common Multiple of 206,5753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1185118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1185118

Therefore, the GCF of Fractions 50/206,74/5753 is 2/1185118

Least Common Multiple of 206,5753 with GCF Formula

Least Common Multiple of 206,5753 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 206,5753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,5753) = 1

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

GCF(206,5753) x common factors =1 x 1 = 1

LCM(206,5753) = ( 206 × 5753 ) / 1

LCM(206,5753) = 1185118 / 1

LCM(206,5753) = 1185118


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FAQs on GCF of Fractions of 50/206, 74/5753

1. What is the HCF of 50,74?

The HCF of 50,74 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 50/206, 74/5753?

Answer: GCF of Numerators as per given numbers 50/206, 74/5753 is

GCF of Numerators i.e. for 50,74 is 2

LCM of denominators i.e. for 206,5753 is 1185118.

Thus, GCF of Fractions is 2/1185118.Finally, GCF of Fractions for 50/206, 74/5753 is 2/1185118.