Greatest Common Factor of 697/14, 631/58, 530/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/14, 631/58, 530/234

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 697/14,631/58,530/234

Given fractions are 697/14,631/58,530/234

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 697,631,530

Greatest Common Factor of Numerators i.e. GCF of 697,631,530 is 1 .

LCM of Denominators means LCM of 14,58,234 as per the given fractions.

LCM of 14,58,234 is 47502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,631,530

GCF of Fractions 697/14,631/58,530/234 is 1/47502

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

Greatest Common Factor of 697,631,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,631,530 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 697,631,530 . The biggest common factor number is the GCF number.
So the greatest common factor 697,631,530 is 1.

Lets's calculate LCM of 14,58,234

2 14, 58, 234
7, 29, 117

∴ So the LCM of the given numbers is 2 x 7 x 29 x 117 = 47502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47502

Therefore, the GCF of Fractions 697/14,631/58,530/234 is 1/47502

Least Common Multiple of 14,58,234 with GCF Formula

Least Common Multiple of 14,58,234 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 14,58,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,58,234) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,58,234) x common factors =2 x 2 = 4

LCM(14,58,234) = ( 14 × 58 × 234 ) / 4

LCM(14,58,234) = 190008 / 4

LCM(14,58,234) = 47502


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 697/14, 631/58, 530/234

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 697/14, 631/58, 530/234?

Answer: GCF of Numerators as per given numbers 697/14, 631/58, 530/234 is

GCF of Numerators i.e. for 697,631,530 is 1

LCM of denominators i.e. for 14,58,234 is 47502.

Thus, GCF of Fractions is 1/47502.Finally, GCF of Fractions for 697/14, 631/58, 530/234 is 1/47502.