Greatest Common Factor of 814/31, 4958/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/31, 4958/170

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 814/31,4958/170

Given fractions are 814/31,4958/170

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 814,4958

Greatest Common Factor of Numerators i.e. GCF of 814,4958 is 74 .

LCM of Denominators means LCM of 31,170 as per the given fractions.

LCM of 31,170 is 5270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,4958

GCF of Fractions 814/31,4958/170 is 74/5270

2 814, 4958
37 407, 2479
11, 67

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 814,4958 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,4958 By Matching Biggest Common Factor Method

Factors of 814

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

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

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1,2,37,67,74,134,2479,4958

Greatest Common Factor

We found the factors 814,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4958 is 74.

Lets's calculate LCM of 31,170

Given numbers has no common factors except 1. So, there LCM is their product i.e 5270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/5270

Therefore, the GCF of Fractions 814/31,4958/170 is 74/5270

Least Common Multiple of 31,170 with GCF Formula

Least Common Multiple of 31,170 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 31,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,170) = 1

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

GCF(31,170) x common factors =1 x 1 = 1

LCM(31,170) = ( 31 × 170 ) / 1

LCM(31,170) = 5270 / 1

LCM(31,170) = 5270


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 814/31, 4958/170

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 814/31, 4958/170?

Answer: GCF of Numerators as per given numbers 814/31, 4958/170 is

GCF of Numerators i.e. for 814,4958 is 74

LCM of denominators i.e. for 31,170 is 5270.

Thus, GCF of Fractions is 74/5270.Finally, GCF of Fractions for 814/31, 4958/170 is 74/5270.