How to Find GCF of 4549/527, 1459/6150?

GCF of 4549/527, 1459/6150

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 4549/527, 1459/6150 i.e 1/3241050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4549/527, 1459/6150.

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 4549/527,1459/6150?

Given fractions are 4549/527,1459/6150

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 4549/527,1459/6150, numerators are 4549,1459

Denominators are 527,6150

The GCF of 4549,1459 is 1 .

LCM of 527,6150 is 3241050.

The greatest common factor of 4549/527,1459/6150 = [GCF of 4549,1459]/[LCM of 527,6150]= 1/3241050

Therefore, the GCF of 4549/527,1459/6150 is 1/3241050.

Greatest Common Factor of 4549,1459

To find the highest common factor of 4549,1459, we have to find the factors of both numbers and list the highest common factor.

The factors of 4549 are 1, 4549

The factors of 1459 are 1, 1459

The HCF of 4549,1459 is 1.

Lets's calculate GCF of 4549,1459

Greatest Common Factor (GCF) of 4549,1459 By Common Division

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

Greatest Common Factor of 4549,1459 By Matching Biggest Common Factor Method

Now, list down the factors of 4549

1,4549

Now, list down the factors of 1459

1,1459

Greatest Common Factor

We found the factors 4549,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 4549,1459 is 1.

Lets's calculate LCM of 527,6150

Lowest Common Multiple of 527,6150 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3241050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3241050

Therefore, the GCF of Fractions 4549/527,1459/6150 is 1/3241050

Least Common Multiple of 527,6150 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 527,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,6150) = 1

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

GCF(527,6150) x common factors =1 x 1 = 1

LCM(527,6150) = ( 527 × 6150 ) / 1

LCM(527,6150) = 3241050 / 1

LCM(527,6150) = 3241050

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FAQs on GCF of Fractions of 4549/527, 1459/6150

1. What is the HCF of 4549,1459?

The HCF of 4549,1459 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 4549/527, 1459/6150?

Answer: GCF of Numerators as per given numbers 4549/527, 1459/6150 is

GCF of Numerators i.e. for 4549,1459 is 1

LCM of denominators i.e. for 527,6150 is 3241050.

Thus, GCF of Fractions is 1/3241050.Finally, GCF of Fractions for 4549/527, 1459/6150 is 1/3241050.