Greatest Common Factor of 84/438, 530/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/438, 530/785

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 84/438,530/785

Given fractions are 84/438,530/785

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 84,530

Greatest Common Factor of Numerators i.e. GCF of 84,530 is 2 .

LCM of Denominators means LCM of 438,785 as per the given fractions.

LCM of 438,785 is 343830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,530

GCF of Fractions 84/438,530/785 is 2/343830

2 84, 530
42, 265

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

Greatest Common Factor of 84,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,530 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 84,530 . The biggest common factor number is the GCF number.
So the greatest common factor 84,530 is 2.

Lets's calculate LCM of 438,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 343830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343830

Therefore, the GCF of Fractions 84/438,530/785 is 2/343830

Least Common Multiple of 438,785 with GCF Formula

Least Common Multiple of 438,785 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 438,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,785) = 1

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

GCF(438,785) x common factors =1 x 1 = 1

LCM(438,785) = ( 438 × 785 ) / 1

LCM(438,785) = 343830 / 1

LCM(438,785) = 343830


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 84/438, 530/785

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 84/438, 530/785?

Answer: GCF of Numerators as per given numbers 84/438, 530/785 is

GCF of Numerators i.e. for 84,530 is 2

LCM of denominators i.e. for 438,785 is 343830.

Thus, GCF of Fractions is 2/343830.Finally, GCF of Fractions for 84/438, 530/785 is 2/343830.