How to Find GCF of 3637/496, 5150/9174?

GCF of 3637/496, 5150/9174

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 3637/496, 5150/9174 i.e 1/2275152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3637/496, 5150/9174.

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 3637/496,5150/9174?

Given fractions are 3637/496,5150/9174

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 3637/496,5150/9174, numerators are 3637,5150

Denominators are 496,9174

The GCF of 3637,5150 is 1 .

LCM of 496,9174 is 2275152.

The greatest common factor of 3637/496,5150/9174 = [GCF of 3637,5150]/[LCM of 496,9174]= 1/2275152

Therefore, the GCF of 3637/496,5150/9174 is 1/2275152.

Greatest Common Factor of 3637,5150

To find the highest common factor of 3637,5150, we have to find the factors of both numbers and list the highest common factor.

The factors of 3637 are 1, 3637

The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150

The HCF of 3637,5150 is 1.

Lets's calculate GCF of 3637,5150

Greatest Common Factor (GCF) of 3637,5150 By Common Division

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

Greatest Common Factor of 3637,5150 By Matching Biggest Common Factor Method

Now, list down the factors of 3637

1,3637

Now, list down the factors of 5150

1,2,5,10,25,50,103,206,515,1030,2575,5150

Greatest Common Factor

We found the factors 3637,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 3637,5150 is 1.

Lets's calculate LCM of 496,9174

Lowest Common Multiple of 496,9174 using Common Division

2	496, 9174
	248, 4587

∴ So the LCM of the given numbers is 2 x 248 x 4587 = 2275152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2275152

Therefore, the GCF of Fractions 3637/496,5150/9174 is 1/2275152

Least Common Multiple of 496,9174 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 496,9174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,9174) = 2

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

GCF(496,9174) x common factors =2 x 1 = 2

LCM(496,9174) = ( 496 × 9174 ) / 2

LCM(496,9174) = 4550304 / 2

LCM(496,9174) = 2275152

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3637/496, 5150/9174

1. What is the HCF of 3637,5150?

The HCF of 3637,5150 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 3637/496, 5150/9174?

Answer: GCF of Numerators as per given numbers 3637/496, 5150/9174 is

GCF of Numerators i.e. for 3637,5150 is 1

LCM of denominators i.e. for 496,9174 is 2275152.

Thus, GCF of Fractions is 1/2275152.Finally, GCF of Fractions for 3637/496, 5150/9174 is 1/2275152.