How to Find GCF of 94/30, 677/13, 732/659?

GCF of 94/30, 677/13, 732/659

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 94/30, 677/13, 732/659 i.e 1/257010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/30, 677/13, 732/659.

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 94/30,677/13,732/659?

Given fractions are 94/30,677/13,732/659

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 94/30,677/13,732/659, numerators are 94,677,732

Denominators are 30,13,659

The GCF of 94,677,732 is 1 .

LCM of 30,13,659 is 257010.

The greatest common factor of 94/30,677/13,732/659 = [GCF of 94,677,732]/[LCM of 30,13,659]= 1/257010

Therefore, the GCF of 94/30,677/13,732/659 is 1/257010.

Greatest Common Factor of 94,677,732

To find the highest common factor of 94,677,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 677 are 1, 677

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 94,677,732 is 1.

Lets's calculate GCF of 94,677,732

Greatest Common Factor (GCF) of 94,677,732 By Common Division

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

Greatest Common Factor of 94,677,732 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 677

1,677

Now, list down the factors of 732

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 94,677,732 . The biggest common factor number is the GCF number.
So the greatest common factor 94,677,732 is 1.

Lets's calculate LCM of 30,13,659

Lowest Common Multiple of 30,13,659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 257010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257010

Therefore, the GCF of Fractions 94/30,677/13,732/659 is 1/257010

Least Common Multiple of 30,13,659 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 30,13,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,13,659) = 1

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

GCF(30,13,659) x common factors =1 x 1 = 1

LCM(30,13,659) = ( 30 × 13 × 659 ) / 1

LCM(30,13,659) = 257010 / 1

LCM(30,13,659) = 257010

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FAQs on GCF of Fractions of 94/30, 677/13, 732/659

1. What is the HCF of 94,677,732?

The HCF of 94,677,732 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 94/30, 677/13, 732/659?

Answer: GCF of Numerators as per given numbers 94/30, 677/13, 732/659 is

GCF of Numerators i.e. for 94,677,732 is 1

LCM of denominators i.e. for 30,13,659 is 257010.

Thus, GCF of Fractions is 1/257010.Finally, GCF of Fractions for 94/30, 677/13, 732/659 is 1/257010.