Greatest Common Factor of 8360/837, 5516/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8360/837, 5516/475

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 8360/837,5516/475

Given fractions are 8360/837,5516/475

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 8360,5516

Greatest Common Factor of Numerators i.e. GCF of 8360,5516 is 4 .

LCM of Denominators means LCM of 837,475 as per the given fractions.

LCM of 837,475 is 397575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8360,5516

GCF of Fractions 8360/837,5516/475 is 4/397575

2 8360, 5516
2 4180, 2758
2090, 1379

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

Greatest Common Factor of 8360,5516 By Matching Biggest Common Factor Method

Greatest Common Factor of 8360,5516 By Matching Biggest Common Factor Method

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1,2,4,7,14,28,197,394,788,1379,2758,5516

Greatest Common Factor

We found the factors 8360,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,5516 is 4.

Lets's calculate LCM of 837,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 397575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/397575

Therefore, the GCF of Fractions 8360/837,5516/475 is 4/397575

Least Common Multiple of 837,475 with GCF Formula

Least Common Multiple of 837,475 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 837,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,475) = 1

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

GCF(837,475) x common factors =1 x 1 = 1

LCM(837,475) = ( 837 × 475 ) / 1

LCM(837,475) = 397575 / 1

LCM(837,475) = 397575


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 8360/837, 5516/475

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 8360/837, 5516/475?

Answer: GCF of Numerators as per given numbers 8360/837, 5516/475 is

GCF of Numerators i.e. for 8360,5516 is 4

LCM of denominators i.e. for 837,475 is 397575.

Thus, GCF of Fractions is 4/397575.Finally, GCF of Fractions for 8360/837, 5516/475 is 4/397575.