Greatest Common Factor of 407/383, 616/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/383, 616/777

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 407/383,616/777

Given fractions are 407/383,616/777

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 407,616

Greatest Common Factor of Numerators i.e. GCF of 407,616 is 11 .

LCM of Denominators means LCM of 383,777 as per the given fractions.

LCM of 383,777 is 297591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,616

GCF of Fractions 407/383,616/777 is 11/297591

11 407, 616
37, 56

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 407,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,616 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 407,616 . The biggest common factor number is the GCF number.
So the greatest common factor 407,616 is 11.

Lets's calculate LCM of 383,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 297591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/297591

Therefore, the GCF of Fractions 407/383,616/777 is 11/297591

Least Common Multiple of 383,777 with GCF Formula

Least Common Multiple of 383,777 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 383,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,777) = 1

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

GCF(383,777) x common factors =1 x 1 = 1

LCM(383,777) = ( 383 × 777 ) / 1

LCM(383,777) = 297591 / 1

LCM(383,777) = 297591


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 407/383, 616/777

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 407/383, 616/777?

Answer: GCF of Numerators as per given numbers 407/383, 616/777 is

GCF of Numerators i.e. for 407,616 is 11

LCM of denominators i.e. for 383,777 is 297591.

Thus, GCF of Fractions is 11/297591.Finally, GCF of Fractions for 407/383, 616/777 is 11/297591.