Greatest Common Factor of 436/16, 677/3124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/16, 677/3124

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 436/16,677/3124

Given fractions are 436/16,677/3124

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 436,677

Greatest Common Factor of Numerators i.e. GCF of 436,677 is 1 .

LCM of Denominators means LCM of 16,3124 as per the given fractions.

LCM of 16,3124 is 12496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,677

GCF of Fractions 436/16,677/3124 is 1/12496

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

Greatest Common Factor of 436,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,677 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 436,677 . The biggest common factor number is the GCF number.
So the greatest common factor 436,677 is 1.

Lets's calculate LCM of 16,3124

2 16, 3124
2 8, 1562
4, 781

∴ So the LCM of the given numbers is 2 x 2 x 4 x 781 = 12496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12496

Therefore, the GCF of Fractions 436/16,677/3124 is 1/12496

Least Common Multiple of 16,3124 with GCF Formula

Least Common Multiple of 16,3124 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 16,3124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,3124) = 4

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

GCF(16,3124) x common factors =4 x 1 = 4

LCM(16,3124) = ( 16 × 3124 ) / 4

LCM(16,3124) = 49984 / 4

LCM(16,3124) = 12496


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 436/16, 677/3124

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 436/16, 677/3124?

Answer: GCF of Numerators as per given numbers 436/16, 677/3124 is

GCF of Numerators i.e. for 436,677 is 1

LCM of denominators i.e. for 16,3124 is 12496.

Thus, GCF of Fractions is 1/12496.Finally, GCF of Fractions for 436/16, 677/3124 is 1/12496.