How to Find GCF of 70/51, 20/83, 923/41?

GCF of 70/51, 20/83, 923/41

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 70/51, 20/83, 923/41 i.e 1/173553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/51, 20/83, 923/41.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 70/51,20/83,923/41?

Given fractions are 70/51,20/83,923/41

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 70/51,20/83,923/41, numerators are 70,20,923

Denominators are 51,83,41

The GCF of 70,20,923 is 1 .

LCM of 51,83,41 is 173553.

The greatest common factor of 70/51,20/83,923/41 = [GCF of 70,20,923]/[LCM of 51,83,41]= 1/173553

Therefore, the GCF of 70/51,20/83,923/41 is 1/173553.

Greatest Common Factor of 70,20,923

To find the highest common factor of 70,20,923, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 923 are 1, 13, 71, 923

The HCF of 70,20,923 is 1.

Lets's calculate GCF of 70,20,923

Greatest Common Factor (GCF) of 70,20,923 By Common Division

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

Greatest Common Factor of 70,20,923 By Matching Biggest Common Factor Method

Now, list down the factors of 70

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

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 923

1,13,71,923

Greatest Common Factor

We found the factors 70,20,923 . The biggest common factor number is the GCF number.
So the greatest common factor 70,20,923 is 1.

Lets's calculate LCM of 51,83,41

Lowest Common Multiple of 51,83,41 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 173553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173553

Therefore, the GCF of Fractions 70/51,20/83,923/41 is 1/173553

Least Common Multiple of 51,83,41 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,83,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,83,41) = 1

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

GCF(51,83,41) x common factors =1 x 1 = 1

LCM(51,83,41) = ( 51 × 83 × 41 ) / 1

LCM(51,83,41) = 173553 / 1

LCM(51,83,41) = 173553

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 70/51, 20/83, 923/41

1. What is the HCF of 70,20,923?

The HCF of 70,20,923 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 70/51, 20/83, 923/41?

Answer: GCF of Numerators as per given numbers 70/51, 20/83, 923/41 is

GCF of Numerators i.e. for 70,20,923 is 1

LCM of denominators i.e. for 51,83,41 is 173553.

Thus, GCF of Fractions is 1/173553.Finally, GCF of Fractions for 70/51, 20/83, 923/41 is 1/173553.