Greatest Common Factor of 4214/675, 1321/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4214/675, 1321/632

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 4214/675,1321/632

Given fractions are 4214/675,1321/632

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 4214,1321

Greatest Common Factor of Numerators i.e. GCF of 4214,1321 is 1 .

LCM of Denominators means LCM of 675,632 as per the given fractions.

LCM of 675,632 is 426600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4214,1321

GCF of Fractions 4214/675,1321/632 is 1/426600

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

Greatest Common Factor of 4214,1321 By Matching Biggest Common Factor Method

Greatest Common Factor of 4214,1321 By Matching Biggest Common Factor Method

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Factors of 1321

List of positive integer factors of 1321 that divides 1321 without a remainder.

1,1321

Greatest Common Factor

We found the factors 4214,1321 . The biggest common factor number is the GCF number.
So the greatest common factor 4214,1321 is 1.

Lets's calculate LCM of 675,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 426600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426600

Therefore, the GCF of Fractions 4214/675,1321/632 is 1/426600

Least Common Multiple of 675,632 with GCF Formula

Least Common Multiple of 675,632 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 675,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,632) = 1

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

GCF(675,632) x common factors =1 x 1 = 1

LCM(675,632) = ( 675 × 632 ) / 1

LCM(675,632) = 426600 / 1

LCM(675,632) = 426600


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 4214/675, 1321/632

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 4214/675, 1321/632?

Answer: GCF of Numerators as per given numbers 4214/675, 1321/632 is

GCF of Numerators i.e. for 4214,1321 is 1

LCM of denominators i.e. for 675,632 is 426600.

Thus, GCF of Fractions is 1/426600.Finally, GCF of Fractions for 4214/675, 1321/632 is 1/426600.