Greatest Common Factor of 892/762, 9414/8449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/762, 9414/8449

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 892/762,9414/8449

Given fractions are 892/762,9414/8449

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 892,9414

Greatest Common Factor of Numerators i.e. GCF of 892,9414 is 2 .

LCM of Denominators means LCM of 762,8449 as per the given fractions.

LCM of 762,8449 is 6438138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,9414

GCF of Fractions 892/762,9414/8449 is 2/6438138

2 892, 9414
446, 4707

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

Greatest Common Factor of 892,9414 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,9414 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Greatest Common Factor

We found the factors 892,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 892,9414 is 2.

Lets's calculate LCM of 762,8449

Given numbers has no common factors except 1. So, there LCM is their product i.e 6438138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6438138

Therefore, the GCF of Fractions 892/762,9414/8449 is 2/6438138

Least Common Multiple of 762,8449 with GCF Formula

Least Common Multiple of 762,8449 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 762,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,8449) = 1

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

GCF(762,8449) x common factors =1 x 1 = 1

LCM(762,8449) = ( 762 × 8449 ) / 1

LCM(762,8449) = 6438138 / 1

LCM(762,8449) = 6438138


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 892/762, 9414/8449

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 892/762, 9414/8449?

Answer: GCF of Numerators as per given numbers 892/762, 9414/8449 is

GCF of Numerators i.e. for 892,9414 is 2

LCM of denominators i.e. for 762,8449 is 6438138.

Thus, GCF of Fractions is 2/6438138.Finally, GCF of Fractions for 892/762, 9414/8449 is 2/6438138.