Greatest Common Factor of 1775/850, 3235/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1775/850, 3235/421

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 1775/850,3235/421

Given fractions are 1775/850,3235/421

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 1775,3235

Greatest Common Factor of Numerators i.e. GCF of 1775,3235 is 5 .

LCM of Denominators means LCM of 850,421 as per the given fractions.

LCM of 850,421 is 357850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1775,3235

GCF of Fractions 1775/850,3235/421 is 5/357850

5 1775, 3235
355, 647

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1775,3235 By Matching Biggest Common Factor Method

Greatest Common Factor of 1775,3235 By Matching Biggest Common Factor Method

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1,5,25,71,355,1775

Factors of 3235

List of positive integer factors of 3235 that divides 3235 without a remainder.

1,5,647,3235

Greatest Common Factor

We found the factors 1775,3235 . The biggest common factor number is the GCF number.
So the greatest common factor 1775,3235 is 5.

Lets's calculate LCM of 850,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 357850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/357850

Therefore, the GCF of Fractions 1775/850,3235/421 is 5/357850

Least Common Multiple of 850,421 with GCF Formula

Least Common Multiple of 850,421 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 850,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,421) = 1

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

GCF(850,421) x common factors =1 x 1 = 1

LCM(850,421) = ( 850 × 421 ) / 1

LCM(850,421) = 357850 / 1

LCM(850,421) = 357850


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 1775/850, 3235/421

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 1775/850, 3235/421?

Answer: GCF of Numerators as per given numbers 1775/850, 3235/421 is

GCF of Numerators i.e. for 1775,3235 is 5

LCM of denominators i.e. for 850,421 is 357850.

Thus, GCF of Fractions is 5/357850.Finally, GCF of Fractions for 1775/850, 3235/421 is 5/357850.