Greatest Common Factor of 67/35, 89/40, 41/75, 61/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/35, 89/40, 41/75, 61/650

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 67/35,89/40,41/75,61/650

Given fractions are 67/35,89/40,41/75,61/650

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 67,89,41,61

Greatest Common Factor of Numerators i.e. GCF of 67,89,41,61 is 1 .

LCM of Denominators means LCM of 35,40,75,650 as per the given fractions.

LCM of 35,40,75,650 is 54600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,89,41,61

GCF of Fractions 67/35,89/40,41/75,61/650 is 1/54600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 67,89,41,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,89,41,61 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 67,89,41,61 . The biggest common factor number is the GCF number.
So the greatest common factor 67,89,41,61 is 1.

Lets's calculate LCM of 35,40,75,650

2 35, 40, 75, 650
5 35, 20, 75, 325
5 7, 4, 15, 65
7, 4, 3, 13

∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 4 x 3 x 13 = 54600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54600

Therefore, the GCF of Fractions 67/35,89/40,41/75,61/650 is 1/54600

Least Common Multiple of 35,40,75,650 with GCF Formula

Least Common Multiple of 35,40,75,650 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 35,40,75,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,40,75,650) = 5

common factors(in case of two or more numbers have common factors) = 250

GCF(35,40,75,650) x common factors =5 x 250 = 1250

LCM(35,40,75,650) = ( 35 × 40 × 75 × 650 ) / 1250

LCM(35,40,75,650) = 68250000 / 1250

LCM(35,40,75,650) = 54600


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 67/35, 89/40, 41/75, 61/650

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 67/35, 89/40, 41/75, 61/650?

Answer: GCF of Numerators as per given numbers 67/35, 89/40, 41/75, 61/650 is

GCF of Numerators i.e. for 67,89,41,61 is 1

LCM of denominators i.e. for 35,40,75,650 is 54600.

Thus, GCF of Fractions is 1/54600.Finally, GCF of Fractions for 67/35, 89/40, 41/75, 61/650 is 1/54600.