Greatest Common Factor of 351/536, 4892/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/536, 4892/693

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 351/536,4892/693

Given fractions are 351/536,4892/693

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 351,4892

Greatest Common Factor of Numerators i.e. GCF of 351,4892 is 1 .

LCM of Denominators means LCM of 536,693 as per the given fractions.

LCM of 536,693 is 371448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,4892

GCF of Fractions 351/536,4892/693 is 1/371448

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

Greatest Common Factor of 351,4892 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,4892 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1,2,4,1223,2446,4892

Greatest Common Factor

We found the factors 351,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 351,4892 is 1.

Lets's calculate LCM of 536,693

Given numbers has no common factors except 1. So, there LCM is their product i.e 371448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371448

Therefore, the GCF of Fractions 351/536,4892/693 is 1/371448

Least Common Multiple of 536,693 with GCF Formula

Least Common Multiple of 536,693 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 536,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,693) = 1

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

GCF(536,693) x common factors =1 x 1 = 1

LCM(536,693) = ( 536 × 693 ) / 1

LCM(536,693) = 371448 / 1

LCM(536,693) = 371448


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 351/536, 4892/693

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 351/536, 4892/693?

Answer: GCF of Numerators as per given numbers 351/536, 4892/693 is

GCF of Numerators i.e. for 351,4892 is 1

LCM of denominators i.e. for 536,693 is 371448.

Thus, GCF of Fractions is 1/371448.Finally, GCF of Fractions for 351/536, 4892/693 is 1/371448.