How to Find GCF of 5462/104, 6150/1357?

GCF of 5462/104, 6150/1357

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 5462/104, 6150/1357 i.e 2/141128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5462/104, 6150/1357.

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 5462/104,6150/1357?

Given fractions are 5462/104,6150/1357

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 5462/104,6150/1357, numerators are 5462,6150

Denominators are 104,1357

The GCF of 5462,6150 is 2 .

LCM of 104,1357 is 141128.

The greatest common factor of 5462/104,6150/1357 = [GCF of 5462,6150]/[LCM of 104,1357]= 2/141128

Therefore, the GCF of 5462/104,6150/1357 is 2/141128.

Greatest Common Factor of 5462,6150

To find the highest common factor of 5462,6150, we have to find the factors of both numbers and list the highest common factor.

The factors of 5462 are 1, 2, 2731, 5462

The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150

The HCF of 5462,6150 is 2.

Lets's calculate GCF of 5462,6150

Greatest Common Factor (GCF) of 5462,6150 By Common Division

2	5462, 6150
	2731, 3075

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

Greatest Common Factor of 5462,6150 By Matching Biggest Common Factor Method

Now, list down the factors of 5462

1,2,2731,5462

Now, list down the factors of 6150

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors 5462,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 5462,6150 is 2.

Lets's calculate LCM of 104,1357

Lowest Common Multiple of 104,1357 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141128

Therefore, the GCF of Fractions 5462/104,6150/1357 is 2/141128

Least Common Multiple of 104,1357 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 104,1357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,1357) = 1

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

GCF(104,1357) x common factors =1 x 1 = 1

LCM(104,1357) = ( 104 × 1357 ) / 1

LCM(104,1357) = 141128 / 1

LCM(104,1357) = 141128

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5462/104, 6150/1357

1. What is the HCF of 5462,6150?

The HCF of 5462,6150 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 5462/104, 6150/1357?

Answer: GCF of Numerators as per given numbers 5462/104, 6150/1357 is

GCF of Numerators i.e. for 5462,6150 is 2

LCM of denominators i.e. for 104,1357 is 141128.

Thus, GCF of Fractions is 2/141128.Finally, GCF of Fractions for 5462/104, 6150/1357 is 2/141128.