Greatest Common Factor of 470/196, 695/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/196, 695/611

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 470/196,695/611

Given fractions are 470/196,695/611

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 470,695

Greatest Common Factor of Numerators i.e. GCF of 470,695 is 5 .

LCM of Denominators means LCM of 196,611 as per the given fractions.

LCM of 196,611 is 119756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,695

GCF of Fractions 470/196,695/611 is 5/119756

5 470, 695
94, 139

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

Greatest Common Factor of 470,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,695 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 470,695 . The biggest common factor number is the GCF number.
So the greatest common factor 470,695 is 5.

Lets's calculate LCM of 196,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 119756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/119756

Therefore, the GCF of Fractions 470/196,695/611 is 5/119756

Least Common Multiple of 196,611 with GCF Formula

Least Common Multiple of 196,611 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 196,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,611) = 1

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

GCF(196,611) x common factors =1 x 1 = 1

LCM(196,611) = ( 196 × 611 ) / 1

LCM(196,611) = 119756 / 1

LCM(196,611) = 119756


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 470/196, 695/611

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 470/196, 695/611?

Answer: GCF of Numerators as per given numbers 470/196, 695/611 is

GCF of Numerators i.e. for 470,695 is 5

LCM of denominators i.e. for 196,611 is 119756.

Thus, GCF of Fractions is 5/119756.Finally, GCF of Fractions for 470/196, 695/611 is 5/119756.