Greatest Common Factor of 521/1704, 554/1528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 521/1704, 554/1528

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 521/1704,554/1528

Given fractions are 521/1704,554/1528

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 521,554

Greatest Common Factor of Numerators i.e. GCF of 521,554 is 1 .

LCM of Denominators means LCM of 1704,1528 as per the given fractions.

LCM of 1704,1528 is 325464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 521,554

GCF of Fractions 521/1704,554/1528 is 1/325464

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

Greatest Common Factor of 521,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,554 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 521,554 . The biggest common factor number is the GCF number.
So the greatest common factor 521,554 is 1.

Lets's calculate LCM of 1704,1528

2 1704, 1528
2 852, 764
2 426, 382
213, 191

∴ So the LCM of the given numbers is 2 x 2 x 2 x 213 x 191 = 325464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325464

Therefore, the GCF of Fractions 521/1704,554/1528 is 1/325464

Least Common Multiple of 1704,1528 with GCF Formula

Least Common Multiple of 1704,1528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1704,1528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1704,1528) = 8

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

GCF(1704,1528) x common factors =8 x 1 = 8

LCM(1704,1528) = ( 1704 × 1528 ) / 8

LCM(1704,1528) = 2603712 / 8

LCM(1704,1528) = 325464


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 521/1704, 554/1528

1. 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.

2. What is the GCF of Fractions for 521/1704, 554/1528?

Answer: GCF of Numerators as per given numbers 521/1704, 554/1528 is

GCF of Numerators i.e. for 521,554 is 1

LCM of denominators i.e. for 1704,1528 is 325464.

Thus, GCF of Fractions is 1/325464.Finally, GCF of Fractions for 521/1704, 554/1528 is 1/325464.