Greatest Common Factor of 5235/385, 5468/1450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5235/385, 5468/1450

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 5235/385,5468/1450

Given fractions are 5235/385,5468/1450

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 5235,5468

Greatest Common Factor of Numerators i.e. GCF of 5235,5468 is 1 .

LCM of Denominators means LCM of 385,1450 as per the given fractions.

LCM of 385,1450 is 111650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5235,5468

GCF of Fractions 5235/385,5468/1450 is 1/111650

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

Greatest Common Factor of 5235,5468 By Matching Biggest Common Factor Method

Greatest Common Factor of 5235,5468 By Matching Biggest Common Factor Method

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1,3,5,15,349,1047,1745,5235

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1,2,4,1367,2734,5468

Greatest Common Factor

We found the factors 5235,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 5235,5468 is 1.

Lets's calculate LCM of 385,1450

5 385, 1450
77, 290

∴ So the LCM of the given numbers is 5 x 77 x 290 = 111650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111650

Therefore, the GCF of Fractions 5235/385,5468/1450 is 1/111650

Least Common Multiple of 385,1450 with GCF Formula

Least Common Multiple of 385,1450 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 385,1450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,1450) = 5

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

GCF(385,1450) x common factors =5 x 1 = 5

LCM(385,1450) = ( 385 × 1450 ) / 5

LCM(385,1450) = 558250 / 5

LCM(385,1450) = 111650


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 5235/385, 5468/1450

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 5235/385, 5468/1450?

Answer: GCF of Numerators as per given numbers 5235/385, 5468/1450 is

GCF of Numerators i.e. for 5235,5468 is 1

LCM of denominators i.e. for 385,1450 is 111650.

Thus, GCF of Fractions is 1/111650.Finally, GCF of Fractions for 5235/385, 5468/1450 is 1/111650.