Greatest Common Factor of 345/691, 1211/7105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/691, 1211/7105

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 345/691,1211/7105

Given fractions are 345/691,1211/7105

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 345,1211

Greatest Common Factor of Numerators i.e. GCF of 345,1211 is 1 .

LCM of Denominators means LCM of 691,7105 as per the given fractions.

LCM of 691,7105 is 4909555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,1211

GCF of Fractions 345/691,1211/7105 is 1/4909555

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

Greatest Common Factor of 345,1211 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,1211 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1,7,173,1211

Greatest Common Factor

We found the factors 345,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 345,1211 is 1.

Lets's calculate LCM of 691,7105

Given numbers has no common factors except 1. So, there LCM is their product i.e 4909555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4909555

Therefore, the GCF of Fractions 345/691,1211/7105 is 1/4909555

Least Common Multiple of 691,7105 with GCF Formula

Least Common Multiple of 691,7105 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 691,7105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,7105) = 1

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

GCF(691,7105) x common factors =1 x 1 = 1

LCM(691,7105) = ( 691 × 7105 ) / 1

LCM(691,7105) = 4909555 / 1

LCM(691,7105) = 4909555


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 345/691, 1211/7105

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 345/691, 1211/7105?

Answer: GCF of Numerators as per given numbers 345/691, 1211/7105 is

GCF of Numerators i.e. for 345,1211 is 1

LCM of denominators i.e. for 691,7105 is 4909555.

Thus, GCF of Fractions is 1/4909555.Finally, GCF of Fractions for 345/691, 1211/7105 is 1/4909555.