How to Find GCF of 15/762, 697/914, 331/193?

GCF of 15/762, 697/914, 331/193

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 15/762, 697/914, 331/193 i.e 1/67209162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/762, 697/914, 331/193.

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 15/762,697/914,331/193?

Given fractions are 15/762,697/914,331/193

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 15/762,697/914,331/193, numerators are 15,697,331

Denominators are 762,914,193

The GCF of 15,697,331 is 1 .

LCM of 762,914,193 is 67209162.

The greatest common factor of 15/762,697/914,331/193 = [GCF of 15,697,331]/[LCM of 762,914,193]= 1/67209162

Therefore, the GCF of 15/762,697/914,331/193 is 1/67209162.

Greatest Common Factor of 15,697,331

To find the highest common factor of 15,697,331, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 697 are 1, 17, 41, 697

The factors of 331 are 1, 331

The HCF of 15,697,331 is 1.

Lets's calculate GCF of 15,697,331

Greatest Common Factor (GCF) of 15,697,331 By Common Division

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

Greatest Common Factor of 15,697,331 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 697

1,17,41,697

Now, list down the factors of 331

1,331

Greatest Common Factor

We found the factors 15,697,331 . The biggest common factor number is the GCF number.
So the greatest common factor 15,697,331 is 1.

Lets's calculate LCM of 762,914,193

Lowest Common Multiple of 762,914,193 using Common Division

2	762, 914, 193
	381, 457, 193

∴ So the LCM of the given numbers is 2 x 381 x 457 x 193 = 67209162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67209162

Therefore, the GCF of Fractions 15/762,697/914,331/193 is 1/67209162

Least Common Multiple of 762,914,193 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 762,914,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,914,193) = 1

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

GCF(762,914,193) x common factors =1 x 2 = 2

LCM(762,914,193) = ( 762 × 914 × 193 ) / 2

LCM(762,914,193) = 134418324 / 2

LCM(762,914,193) = 67209162

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/762, 697/914, 331/193

1. What is the HCF of 15,697,331?

The HCF of 15,697,331 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 15/762, 697/914, 331/193?

Answer: GCF of Numerators as per given numbers 15/762, 697/914, 331/193 is

GCF of Numerators i.e. for 15,697,331 is 1

LCM of denominators i.e. for 762,914,193 is 67209162.

Thus, GCF of Fractions is 1/67209162.Finally, GCF of Fractions for 15/762, 697/914, 331/193 is 1/67209162.