How to Find GCF of 70/83, 894/99, 538/466?

GCF of 70/83, 894/99, 538/466

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 70/83, 894/99, 538/466 i.e 2/3829122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/83, 894/99, 538/466.

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 70/83,894/99,538/466?

Given fractions are 70/83,894/99,538/466

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 70/83,894/99,538/466, numerators are 70,894,538

Denominators are 83,99,466

The GCF of 70,894,538 is 2 .

LCM of 83,99,466 is 3829122.

The greatest common factor of 70/83,894/99,538/466 = [GCF of 70,894,538]/[LCM of 83,99,466]= 2/3829122

Therefore, the GCF of 70/83,894/99,538/466 is 2/3829122.

Greatest Common Factor of 70,894,538

To find the highest common factor of 70,894,538, 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 894 are 1, 2, 3, 6, 149, 298, 447, 894

The factors of 538 are 1, 2, 269, 538

The HCF of 70,894,538 is 2.

Lets's calculate GCF of 70,894,538

Greatest Common Factor (GCF) of 70,894,538 By Common Division

2	70, 894, 538
	35, 447, 269

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,894,538 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 894

1,2,3,6,149,298,447,894

Now, list down the factors of 538

1,2,269,538

Greatest Common Factor

We found the factors 70,894,538 . The biggest common factor number is the GCF number.
So the greatest common factor 70,894,538 is 2.

Lets's calculate LCM of 83,99,466

Lowest Common Multiple of 83,99,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3829122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3829122

Therefore, the GCF of Fractions 70/83,894/99,538/466 is 2/3829122

Least Common Multiple of 83,99,466 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 83,99,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,99,466) = 1

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

GCF(83,99,466) x common factors =1 x 1 = 1

LCM(83,99,466) = ( 83 × 99 × 466 ) / 1

LCM(83,99,466) = 3829122 / 1

LCM(83,99,466) = 3829122

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 70/83, 894/99, 538/466

1. What is the HCF of 70,894,538?

The HCF of 70,894,538 is 2

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 70/83, 894/99, 538/466?

Answer: GCF of Numerators as per given numbers 70/83, 894/99, 538/466 is

GCF of Numerators i.e. for 70,894,538 is 2

LCM of denominators i.e. for 83,99,466 is 3829122.

Thus, GCF of Fractions is 2/3829122.Finally, GCF of Fractions for 70/83, 894/99, 538/466 is 2/3829122.