Greatest Common Factor of 3414/245, 1400/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3414/245, 1400/717

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 3414/245,1400/717

Given fractions are 3414/245,1400/717

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 3414,1400

Greatest Common Factor of Numerators i.e. GCF of 3414,1400 is 2 .

LCM of Denominators means LCM of 245,717 as per the given fractions.

LCM of 245,717 is 175665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3414,1400

GCF of Fractions 3414/245,1400/717 is 2/175665

2 3414, 1400
1707, 700

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

Greatest Common Factor of 3414,1400 By Matching Biggest Common Factor Method

Greatest Common Factor of 3414,1400 By Matching Biggest Common Factor Method

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors 3414,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 3414,1400 is 2.

Lets's calculate LCM of 245,717

Given numbers has no common factors except 1. So, there LCM is their product i.e 175665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175665

Therefore, the GCF of Fractions 3414/245,1400/717 is 2/175665

Least Common Multiple of 245,717 with GCF Formula

Least Common Multiple of 245,717 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 245,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,717) = 1

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

GCF(245,717) x common factors =1 x 1 = 1

LCM(245,717) = ( 245 × 717 ) / 1

LCM(245,717) = 175665 / 1

LCM(245,717) = 175665


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 3414/245, 1400/717

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 3414/245, 1400/717?

Answer: GCF of Numerators as per given numbers 3414/245, 1400/717 is

GCF of Numerators i.e. for 3414,1400 is 2

LCM of denominators i.e. for 245,717 is 175665.

Thus, GCF of Fractions is 2/175665.Finally, GCF of Fractions for 3414/245, 1400/717 is 2/175665.