Greatest Common Factor of 703/830, 814/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/830, 814/310

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 703/830,814/310

Given fractions are 703/830,814/310

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 703,814

Greatest Common Factor of Numerators i.e. GCF of 703,814 is 37 .

LCM of Denominators means LCM of 830,310 as per the given fractions.

LCM of 830,310 is 25730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,814

GCF of Fractions 703/830,814/310 is 37/25730

37 703, 814
19, 22

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 703,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,814 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 703,814 . The biggest common factor number is the GCF number.
So the greatest common factor 703,814 is 37.

Lets's calculate LCM of 830,310

2 830, 310
5 415, 155
83, 31

∴ So the LCM of the given numbers is 2 x 5 x 83 x 31 = 25730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/25730

Therefore, the GCF of Fractions 703/830,814/310 is 37/25730

Least Common Multiple of 830,310 with GCF Formula

Least Common Multiple of 830,310 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 830,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,310) = 10

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

GCF(830,310) x common factors =10 x 1 = 10

LCM(830,310) = ( 830 × 310 ) / 10

LCM(830,310) = 257300 / 10

LCM(830,310) = 25730


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 703/830, 814/310

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 703/830, 814/310?

Answer: GCF of Numerators as per given numbers 703/830, 814/310 is

GCF of Numerators i.e. for 703,814 is 37

LCM of denominators i.e. for 830,310 is 25730.

Thus, GCF of Fractions is 37/25730.Finally, GCF of Fractions for 703/830, 814/310 is 37/25730.