Greatest Common Factor of 506/497, 1625/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/497, 1625/741

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 506/497,1625/741

Given fractions are 506/497,1625/741

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 506,1625

Greatest Common Factor of Numerators i.e. GCF of 506,1625 is 1 .

LCM of Denominators means LCM of 497,741 as per the given fractions.

LCM of 497,741 is 368277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,1625

GCF of Fractions 506/497,1625/741 is 1/368277

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

Greatest Common Factor of 506,1625 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,1625 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors 506,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 506,1625 is 1.

Lets's calculate LCM of 497,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 368277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368277

Therefore, the GCF of Fractions 506/497,1625/741 is 1/368277

Least Common Multiple of 497,741 with GCF Formula

Least Common Multiple of 497,741 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 497,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,741) = 1

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

GCF(497,741) x common factors =1 x 1 = 1

LCM(497,741) = ( 497 × 741 ) / 1

LCM(497,741) = 368277 / 1

LCM(497,741) = 368277


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 506/497, 1625/741

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 506/497, 1625/741?

Answer: GCF of Numerators as per given numbers 506/497, 1625/741 is

GCF of Numerators i.e. for 506,1625 is 1

LCM of denominators i.e. for 497,741 is 368277.

Thus, GCF of Fractions is 1/368277.Finally, GCF of Fractions for 506/497, 1625/741 is 1/368277.