Greatest Common Factor of 67/62, 66/29, 870/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/62, 66/29, 870/457

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 67/62,66/29,870/457

Given fractions are 67/62,66/29,870/457

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 67,66,870

Greatest Common Factor of Numerators i.e. GCF of 67,66,870 is 1 .

LCM of Denominators means LCM of 62,29,457 as per the given fractions.

LCM of 62,29,457 is 821686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,66,870

GCF of Fractions 67/62,66/29,870/457 is 1/821686

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

Greatest Common Factor of 67,66,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,66,870 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 67,66,870 . The biggest common factor number is the GCF number.
So the greatest common factor 67,66,870 is 1.

Lets's calculate LCM of 62,29,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 821686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821686

Therefore, the GCF of Fractions 67/62,66/29,870/457 is 1/821686

Least Common Multiple of 62,29,457 with GCF Formula

Least Common Multiple of 62,29,457 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 62,29,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,29,457) = 1

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

GCF(62,29,457) x common factors =1 x 1 = 1

LCM(62,29,457) = ( 62 × 29 × 457 ) / 1

LCM(62,29,457) = 821686 / 1

LCM(62,29,457) = 821686


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 67/62, 66/29, 870/457

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 67/62, 66/29, 870/457?

Answer: GCF of Numerators as per given numbers 67/62, 66/29, 870/457 is

GCF of Numerators i.e. for 67,66,870 is 1

LCM of denominators i.e. for 62,29,457 is 821686.

Thus, GCF of Fractions is 1/821686.Finally, GCF of Fractions for 67/62, 66/29, 870/457 is 1/821686.