How to Find GCF of 33/47, 701/70, 835/615?

GCF of 33/47, 701/70, 835/615

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 33/47, 701/70, 835/615 i.e 1/404670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/47, 701/70, 835/615.

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 33/47,701/70,835/615?

Given fractions are 33/47,701/70,835/615

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 33/47,701/70,835/615, numerators are 33,701,835

Denominators are 47,70,615

The GCF of 33,701,835 is 1 .

LCM of 47,70,615 is 404670.

The greatest common factor of 33/47,701/70,835/615 = [GCF of 33,701,835]/[LCM of 47,70,615]= 1/404670

Therefore, the GCF of 33/47,701/70,835/615 is 1/404670.

Greatest Common Factor of 33,701,835

To find the highest common factor of 33,701,835, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 701 are 1, 701

The factors of 835 are 1, 5, 167, 835

The HCF of 33,701,835 is 1.

Lets's calculate GCF of 33,701,835

Greatest Common Factor (GCF) of 33,701,835 By Common Division

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

Greatest Common Factor of 33,701,835 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 701

1,701

Now, list down the factors of 835

1,5,167,835

Greatest Common Factor

We found the factors 33,701,835 . The biggest common factor number is the GCF number.
So the greatest common factor 33,701,835 is 1.

Lets's calculate LCM of 47,70,615

Lowest Common Multiple of 47,70,615 using Common Division

5	47, 70, 615
	47, 14, 123

∴ So the LCM of the given numbers is 5 x 47 x 14 x 123 = 404670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404670

Therefore, the GCF of Fractions 33/47,701/70,835/615 is 1/404670

Least Common Multiple of 47,70,615 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 47,70,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,70,615) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(47,70,615) x common factors =1 x 5 = 5

LCM(47,70,615) = ( 47 × 70 × 615 ) / 5

LCM(47,70,615) = 2023350 / 5

LCM(47,70,615) = 404670

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FAQs on GCF of Fractions of 33/47, 701/70, 835/615

1. What is the HCF of 33,701,835?

The HCF of 33,701,835 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 33/47, 701/70, 835/615?

Answer: GCF of Numerators as per given numbers 33/47, 701/70, 835/615 is

GCF of Numerators i.e. for 33,701,835 is 1

LCM of denominators i.e. for 47,70,615 is 404670.

Thus, GCF of Fractions is 1/404670.Finally, GCF of Fractions for 33/47, 701/70, 835/615 is 1/404670.