How to Find GCF of 34/70, 33/844, 231/746?

GCF of 34/70, 33/844, 231/746

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 34/70, 33/844, 231/746 i.e 1/11018420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/70, 33/844, 231/746.

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 34/70,33/844,231/746?

Given fractions are 34/70,33/844,231/746

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 34/70,33/844,231/746, numerators are 34,33,231

Denominators are 70,844,746

The GCF of 34,33,231 is 1 .

LCM of 70,844,746 is 11018420.

The greatest common factor of 34/70,33/844,231/746 = [GCF of 34,33,231]/[LCM of 70,844,746]= 1/11018420

Therefore, the GCF of 34/70,33/844,231/746 is 1/11018420.

Greatest Common Factor of 34,33,231

To find the highest common factor of 34,33,231, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 33 are 1, 3, 11, 33

The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231

The HCF of 34,33,231 is 1.

Lets's calculate GCF of 34,33,231

Greatest Common Factor (GCF) of 34,33,231 By Common Division

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

Greatest Common Factor of 34,33,231 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 231

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 34,33,231 . The biggest common factor number is the GCF number.
So the greatest common factor 34,33,231 is 1.

Lets's calculate LCM of 70,844,746

Lowest Common Multiple of 70,844,746 using Common Division

2	70, 844, 746
	35, 422, 373

∴ So the LCM of the given numbers is 2 x 35 x 422 x 373 = 11018420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11018420

Therefore, the GCF of Fractions 34/70,33/844,231/746 is 1/11018420

Least Common Multiple of 70,844,746 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 70,844,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,844,746) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(70,844,746) x common factors =2 x 2 = 4

LCM(70,844,746) = ( 70 × 844 × 746 ) / 4

LCM(70,844,746) = 44073680 / 4

LCM(70,844,746) = 11018420

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/70, 33/844, 231/746

1. What is the HCF of 34,33,231?

The HCF of 34,33,231 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 34/70, 33/844, 231/746?

Answer: GCF of Numerators as per given numbers 34/70, 33/844, 231/746 is

GCF of Numerators i.e. for 34,33,231 is 1

LCM of denominators i.e. for 70,844,746 is 11018420.

Thus, GCF of Fractions is 1/11018420.Finally, GCF of Fractions for 34/70, 33/844, 231/746 is 1/11018420.