How to Find GCF of 1150/548, 4077/6526?

GCF of 1150/548, 4077/6526

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 1150/548, 4077/6526 i.e 1/1788124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1150/548, 4077/6526.

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 1150/548,4077/6526?

Given fractions are 1150/548,4077/6526

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 1150/548,4077/6526, numerators are 1150,4077

Denominators are 548,6526

The GCF of 1150,4077 is 1 .

LCM of 548,6526 is 1788124.

The greatest common factor of 1150/548,4077/6526 = [GCF of 1150,4077]/[LCM of 548,6526]= 1/1788124

Therefore, the GCF of 1150/548,4077/6526 is 1/1788124.

Greatest Common Factor of 1150,4077

To find the highest common factor of 1150,4077, we have to find the factors of both numbers and list the highest common factor.

The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

The factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077

The HCF of 1150,4077 is 1.

Lets's calculate GCF of 1150,4077

Greatest Common Factor (GCF) of 1150,4077 By Common Division

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

Greatest Common Factor of 1150,4077 By Matching Biggest Common Factor Method

Now, list down the factors of 1150

1,2,5,10,23,25,46,50,115,230,575,1150

Now, list down the factors of 4077

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors 1150,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,4077 is 1.

Lets's calculate LCM of 548,6526

Lowest Common Multiple of 548,6526 using Common Division

2	548, 6526
	274, 3263

∴ So the LCM of the given numbers is 2 x 274 x 3263 = 1788124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788124

Therefore, the GCF of Fractions 1150/548,4077/6526 is 1/1788124

Least Common Multiple of 548,6526 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 548,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,6526) = 2

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

GCF(548,6526) x common factors =2 x 1 = 2

LCM(548,6526) = ( 548 × 6526 ) / 2

LCM(548,6526) = 3576248 / 2

LCM(548,6526) = 1788124

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1150/548, 4077/6526

1. What is the HCF of 1150,4077?

The HCF of 1150,4077 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 1150/548, 4077/6526?

Answer: GCF of Numerators as per given numbers 1150/548, 4077/6526 is

GCF of Numerators i.e. for 1150,4077 is 1

LCM of denominators i.e. for 548,6526 is 1788124.

Thus, GCF of Fractions is 1/1788124.Finally, GCF of Fractions for 1150/548, 4077/6526 is 1/1788124.