Greatest Common Factor of 1283/697, 7738/4042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1283/697, 7738/4042

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 1283/697,7738/4042

Given fractions are 1283/697,7738/4042

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 1283,7738

Greatest Common Factor of Numerators i.e. GCF of 1283,7738 is 1 .

LCM of Denominators means LCM of 697,4042 as per the given fractions.

LCM of 697,4042 is 2817274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1283,7738

GCF of Fractions 1283/697,7738/4042 is 1/2817274

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

Greatest Common Factor of 1283,7738 By Matching Biggest Common Factor Method

Greatest Common Factor of 1283,7738 By Matching Biggest Common Factor Method

Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

1,1283

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1,2,53,73,106,146,3869,7738

Greatest Common Factor

We found the factors 1283,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 1283,7738 is 1.

Lets's calculate LCM of 697,4042

Given numbers has no common factors except 1. So, there LCM is their product i.e 2817274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2817274

Therefore, the GCF of Fractions 1283/697,7738/4042 is 1/2817274

Least Common Multiple of 697,4042 with GCF Formula

Least Common Multiple of 697,4042 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 697,4042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,4042) = 1

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

GCF(697,4042) x common factors =1 x 1 = 1

LCM(697,4042) = ( 697 × 4042 ) / 1

LCM(697,4042) = 2817274 / 1

LCM(697,4042) = 2817274


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 1283/697, 7738/4042

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 1283/697, 7738/4042?

Answer: GCF of Numerators as per given numbers 1283/697, 7738/4042 is

GCF of Numerators i.e. for 1283,7738 is 1

LCM of denominators i.e. for 697,4042 is 2817274.

Thus, GCF of Fractions is 1/2817274.Finally, GCF of Fractions for 1283/697, 7738/4042 is 1/2817274.