Greatest Common Factor of 196/614, 8026/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/614, 8026/175

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 196/614,8026/175

Given fractions are 196/614,8026/175

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 196,8026

Greatest Common Factor of Numerators i.e. GCF of 196,8026 is 2 .

LCM of Denominators means LCM of 614,175 as per the given fractions.

LCM of 614,175 is 107450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,8026

GCF of Fractions 196/614,8026/175 is 2/107450

2 196, 8026
98, 4013

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

Greatest Common Factor of 196,8026 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,8026 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1,2,4013,8026

Greatest Common Factor

We found the factors 196,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 196,8026 is 2.

Lets's calculate LCM of 614,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 107450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107450

Therefore, the GCF of Fractions 196/614,8026/175 is 2/107450

Least Common Multiple of 614,175 with GCF Formula

Least Common Multiple of 614,175 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 614,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,175) = 1

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

GCF(614,175) x common factors =1 x 1 = 1

LCM(614,175) = ( 614 × 175 ) / 1

LCM(614,175) = 107450 / 1

LCM(614,175) = 107450


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 196/614, 8026/175

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 196/614, 8026/175?

Answer: GCF of Numerators as per given numbers 196/614, 8026/175 is

GCF of Numerators i.e. for 196,8026 is 2

LCM of denominators i.e. for 614,175 is 107450.

Thus, GCF of Fractions is 2/107450.Finally, GCF of Fractions for 196/614, 8026/175 is 2/107450.