Greatest Common Factor of 334/61, 164/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/61, 164/770

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 334/61,164/770

Given fractions are 334/61,164/770

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 334,164

Greatest Common Factor of Numerators i.e. GCF of 334,164 is 2 .

LCM of Denominators means LCM of 61,770 as per the given fractions.

LCM of 61,770 is 46970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,164

GCF of Fractions 334/61,164/770 is 2/46970

2 334, 164
167, 82

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

Greatest Common Factor of 334,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,164 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 334,164 . The biggest common factor number is the GCF number.
So the greatest common factor 334,164 is 2.

Lets's calculate LCM of 61,770

Given numbers has no common factors except 1. So, there LCM is their product i.e 46970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46970

Therefore, the GCF of Fractions 334/61,164/770 is 2/46970

Least Common Multiple of 61,770 with GCF Formula

Least Common Multiple of 61,770 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 61,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,770) = 1

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

GCF(61,770) x common factors =1 x 1 = 1

LCM(61,770) = ( 61 × 770 ) / 1

LCM(61,770) = 46970 / 1

LCM(61,770) = 46970


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 334/61, 164/770

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 334/61, 164/770?

Answer: GCF of Numerators as per given numbers 334/61, 164/770 is

GCF of Numerators i.e. for 334,164 is 2

LCM of denominators i.e. for 61,770 is 46970.

Thus, GCF of Fractions is 2/46970.Finally, GCF of Fractions for 334/61, 164/770 is 2/46970.