Greatest Common Factor of 551/11, 435/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/11, 435/725

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 551/11,435/725

Given fractions are 551/11,435/725

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 551,435

Greatest Common Factor of Numerators i.e. GCF of 551,435 is 29 .

LCM of Denominators means LCM of 11,725 as per the given fractions.

LCM of 11,725 is 7975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,435

GCF of Fractions 551/11,435/725 is 29/7975

29 551, 435
19, 15

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 551,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,435 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 551,435 . The biggest common factor number is the GCF number.
So the greatest common factor 551,435 is 29.

Lets's calculate LCM of 11,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 7975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/7975

Therefore, the GCF of Fractions 551/11,435/725 is 29/7975

Least Common Multiple of 11,725 with GCF Formula

Least Common Multiple of 11,725 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 11,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,725) = 1

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

GCF(11,725) x common factors =1 x 1 = 1

LCM(11,725) = ( 11 × 725 ) / 1

LCM(11,725) = 7975 / 1

LCM(11,725) = 7975


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 551/11, 435/725

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 551/11, 435/725?

Answer: GCF of Numerators as per given numbers 551/11, 435/725 is

GCF of Numerators i.e. for 551,435 is 29

LCM of denominators i.e. for 11,725 is 7975.

Thus, GCF of Fractions is 29/7975.Finally, GCF of Fractions for 551/11, 435/725 is 29/7975.