Greatest Common Factor of 698/785, 3044/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 698/785, 3044/271

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 698/785,3044/271

Given fractions are 698/785,3044/271

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 698,3044

Greatest Common Factor of Numerators i.e. GCF of 698,3044 is 2 .

LCM of Denominators means LCM of 785,271 as per the given fractions.

LCM of 785,271 is 212735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 698,3044

GCF of Fractions 698/785,3044/271 is 2/212735

2 698, 3044
349, 1522

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 698,3044 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,3044 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1,2,4,761,1522,3044

Greatest Common Factor

We found the factors 698,3044 . The biggest common factor number is the GCF number.
So the greatest common factor 698,3044 is 2.

Lets's calculate LCM of 785,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 212735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212735

Therefore, the GCF of Fractions 698/785,3044/271 is 2/212735

Least Common Multiple of 785,271 with GCF Formula

Least Common Multiple of 785,271 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 785,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,271) = 1

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

GCF(785,271) x common factors =1 x 1 = 1

LCM(785,271) = ( 785 × 271 ) / 1

LCM(785,271) = 212735 / 1

LCM(785,271) = 212735


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 698/785, 3044/271

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 698/785, 3044/271?

Answer: GCF of Numerators as per given numbers 698/785, 3044/271 is

GCF of Numerators i.e. for 698,3044 is 2

LCM of denominators i.e. for 785,271 is 212735.

Thus, GCF of Fractions is 2/212735.Finally, GCF of Fractions for 698/785, 3044/271 is 2/212735.