Greatest Common Factor of 70/78, 67/704, 183/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/78, 67/704, 183/412

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 70/78,67/704,183/412

Given fractions are 70/78,67/704,183/412

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 70,67,183

Greatest Common Factor of Numerators i.e. GCF of 70,67,183 is 1 .

LCM of Denominators means LCM of 78,704,412 as per the given fractions.

LCM of 78,704,412 is 2827968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,67,183

GCF of Fractions 70/78,67/704,183/412 is 1/2827968

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

Greatest Common Factor of 70,67,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,67,183 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 67

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

1,67

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 70,67,183 . The biggest common factor number is the GCF number.
So the greatest common factor 70,67,183 is 1.

Lets's calculate LCM of 78,704,412

2 78, 704, 412
2 39, 352, 206
39, 176, 103

∴ So the LCM of the given numbers is 2 x 2 x 39 x 176 x 103 = 2827968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2827968

Therefore, the GCF of Fractions 70/78,67/704,183/412 is 1/2827968

Least Common Multiple of 78,704,412 with GCF Formula

Least Common Multiple of 78,704,412 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 78,704,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,704,412) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(78,704,412) x common factors =2 x 4 = 8

LCM(78,704,412) = ( 78 × 704 × 412 ) / 8

LCM(78,704,412) = 22623744 / 8

LCM(78,704,412) = 2827968


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 70/78, 67/704, 183/412

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 70/78, 67/704, 183/412?

Answer: GCF of Numerators as per given numbers 70/78, 67/704, 183/412 is

GCF of Numerators i.e. for 70,67,183 is 1

LCM of denominators i.e. for 78,704,412 is 2827968.

Thus, GCF of Fractions is 1/2827968.Finally, GCF of Fractions for 70/78, 67/704, 183/412 is 1/2827968.