Greatest Common Factor of 649/755, 683/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/755, 683/700

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 649/755,683/700

Given fractions are 649/755,683/700

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 649,683

Greatest Common Factor of Numerators i.e. GCF of 649,683 is 1 .

LCM of Denominators means LCM of 755,700 as per the given fractions.

LCM of 755,700 is 105700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,683

GCF of Fractions 649/755,683/700 is 1/105700

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

Greatest Common Factor of 649,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,683 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 649,683 . The biggest common factor number is the GCF number.
So the greatest common factor 649,683 is 1.

Lets's calculate LCM of 755,700

5 755, 700
151, 140

∴ So the LCM of the given numbers is 5 x 151 x 140 = 105700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105700

Therefore, the GCF of Fractions 649/755,683/700 is 1/105700

Least Common Multiple of 755,700 with GCF Formula

Least Common Multiple of 755,700 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 755,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,700) = 5

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

GCF(755,700) x common factors =5 x 1 = 5

LCM(755,700) = ( 755 × 700 ) / 5

LCM(755,700) = 528500 / 5

LCM(755,700) = 105700


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 649/755, 683/700

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 649/755, 683/700?

Answer: GCF of Numerators as per given numbers 649/755, 683/700 is

GCF of Numerators i.e. for 649,683 is 1

LCM of denominators i.e. for 755,700 is 105700.

Thus, GCF of Fractions is 1/105700.Finally, GCF of Fractions for 649/755, 683/700 is 1/105700.