Greatest Common Factor of 51/77, 69/436, 840/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/77, 69/436, 840/803

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 51/77,69/436,840/803

Given fractions are 51/77,69/436,840/803

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 51,69,840

Greatest Common Factor of Numerators i.e. GCF of 51,69,840 is 3 .

LCM of Denominators means LCM of 77,436,803 as per the given fractions.

LCM of 77,436,803 is 2450756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,69,840

GCF of Fractions 51/77,69/436,840/803 is 3/2450756

3 51, 69, 840
17, 23, 280

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 51,69,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,69,840 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 51,69,840 . The biggest common factor number is the GCF number.
So the greatest common factor 51,69,840 is 3.

Lets's calculate LCM of 77,436,803

11 77, 436, 803
7, 436, 73

∴ So the LCM of the given numbers is 11 x 7 x 436 x 73 = 2450756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2450756

Therefore, the GCF of Fractions 51/77,69/436,840/803 is 3/2450756

Least Common Multiple of 77,436,803 with GCF Formula

Least Common Multiple of 77,436,803 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 77,436,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,436,803) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,436,803) x common factors =1 x 11 = 11

LCM(77,436,803) = ( 77 × 436 × 803 ) / 11

LCM(77,436,803) = 26958316 / 11

LCM(77,436,803) = 2450756


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 51/77, 69/436, 840/803

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 51/77, 69/436, 840/803?

Answer: GCF of Numerators as per given numbers 51/77, 69/436, 840/803 is

GCF of Numerators i.e. for 51,69,840 is 3

LCM of denominators i.e. for 77,436,803 is 2450756.

Thus, GCF of Fractions is 3/2450756.Finally, GCF of Fractions for 51/77, 69/436, 840/803 is 3/2450756.