Greatest Common Factor of 3740/680, 6562/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3740/680, 6562/661

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 3740/680,6562/661

Given fractions are 3740/680,6562/661

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 3740,6562

Greatest Common Factor of Numerators i.e. GCF of 3740,6562 is 34 .

LCM of Denominators means LCM of 680,661 as per the given fractions.

LCM of 680,661 is 449480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3740,6562

GCF of Fractions 3740/680,6562/661 is 34/449480

2 3740, 6562
17 1870, 3281
110, 193

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 3740,6562 By Matching Biggest Common Factor Method

Greatest Common Factor of 3740,6562 By Matching Biggest Common Factor Method

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Factors of 6562

List of positive integer factors of 6562 that divides 6562 without a remainder.

1,2,17,34,193,386,3281,6562

Greatest Common Factor

We found the factors 3740,6562 . The biggest common factor number is the GCF number.
So the greatest common factor 3740,6562 is 34.

Lets's calculate LCM of 680,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 449480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/449480

Therefore, the GCF of Fractions 3740/680,6562/661 is 34/449480

Least Common Multiple of 680,661 with GCF Formula

Least Common Multiple of 680,661 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 680,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,661) = 1

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

GCF(680,661) x common factors =1 x 1 = 1

LCM(680,661) = ( 680 × 661 ) / 1

LCM(680,661) = 449480 / 1

LCM(680,661) = 449480


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 3740/680, 6562/661

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 3740/680, 6562/661?

Answer: GCF of Numerators as per given numbers 3740/680, 6562/661 is

GCF of Numerators i.e. for 3740,6562 is 34

LCM of denominators i.e. for 680,661 is 449480.

Thus, GCF of Fractions is 34/449480.Finally, GCF of Fractions for 3740/680, 6562/661 is 34/449480.