Greatest Common Factor of 776/205, 900/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/205, 900/508

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 776/205,900/508

Given fractions are 776/205,900/508

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 776,900

Greatest Common Factor of Numerators i.e. GCF of 776,900 is 4 .

LCM of Denominators means LCM of 205,508 as per the given fractions.

LCM of 205,508 is 104140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,900

GCF of Fractions 776/205,900/508 is 4/104140

2 776, 900
2 388, 450
194, 225

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 776,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,900 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 776,900 . The biggest common factor number is the GCF number.
So the greatest common factor 776,900 is 4.

Lets's calculate LCM of 205,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 104140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/104140

Therefore, the GCF of Fractions 776/205,900/508 is 4/104140

Least Common Multiple of 205,508 with GCF Formula

Least Common Multiple of 205,508 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 205,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,508) = 1

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

GCF(205,508) x common factors =1 x 1 = 1

LCM(205,508) = ( 205 × 508 ) / 1

LCM(205,508) = 104140 / 1

LCM(205,508) = 104140


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 776/205, 900/508

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 776/205, 900/508?

Answer: GCF of Numerators as per given numbers 776/205, 900/508 is

GCF of Numerators i.e. for 776,900 is 4

LCM of denominators i.e. for 205,508 is 104140.

Thus, GCF of Fractions is 4/104140.Finally, GCF of Fractions for 776/205, 900/508 is 4/104140.