How to Find GCF of 62/50, 253/56, 283/638?

GCF of 62/50, 253/56, 283/638

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 62/50, 253/56, 283/638 i.e 1/446600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/50, 253/56, 283/638.

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 62/50,253/56,283/638?

Given fractions are 62/50,253/56,283/638

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 62/50,253/56,283/638, numerators are 62,253,283

Denominators are 50,56,638

The GCF of 62,253,283 is 1 .

LCM of 50,56,638 is 446600.

The greatest common factor of 62/50,253/56,283/638 = [GCF of 62,253,283]/[LCM of 50,56,638]= 1/446600

Therefore, the GCF of 62/50,253/56,283/638 is 1/446600.

Greatest Common Factor of 62,253,283

To find the highest common factor of 62,253,283, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 253 are 1, 11, 23, 253

The factors of 283 are 1, 283

The HCF of 62,253,283 is 1.

Lets's calculate GCF of 62,253,283

Greatest Common Factor (GCF) of 62,253,283 By Common Division

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

Greatest Common Factor of 62,253,283 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 253

1,11,23,253

Now, list down the factors of 283

1,283

Greatest Common Factor

We found the factors 62,253,283 . The biggest common factor number is the GCF number.
So the greatest common factor 62,253,283 is 1.

Lets's calculate LCM of 50,56,638

Lowest Common Multiple of 50,56,638 using Common Division

2	50, 56, 638
	25, 28, 319

∴ So the LCM of the given numbers is 2 x 25 x 28 x 319 = 446600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446600

Therefore, the GCF of Fractions 62/50,253/56,283/638 is 1/446600

Least Common Multiple of 50,56,638 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 50,56,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,56,638) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(50,56,638) x common factors =2 x 2 = 4

LCM(50,56,638) = ( 50 × 56 × 638 ) / 4

LCM(50,56,638) = 1786400 / 4

LCM(50,56,638) = 446600

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FAQs on GCF of Fractions of 62/50, 253/56, 283/638

1. What is the HCF of 62,253,283?

The HCF of 62,253,283 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 62/50, 253/56, 283/638?

Answer: GCF of Numerators as per given numbers 62/50, 253/56, 283/638 is

GCF of Numerators i.e. for 62,253,283 is 1

LCM of denominators i.e. for 50,56,638 is 446600.

Thus, GCF of Fractions is 1/446600.Finally, GCF of Fractions for 62/50, 253/56, 283/638 is 1/446600.