How to Find GCF of 30/379, 94/604, 334/692?

GCF of 30/379, 94/604, 334/692

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 30/379, 94/604, 334/692 i.e 2/39602468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/379, 94/604, 334/692.

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 30/379,94/604,334/692?

Given fractions are 30/379,94/604,334/692

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 30/379,94/604,334/692, numerators are 30,94,334

Denominators are 379,604,692

The GCF of 30,94,334 is 2 .

LCM of 379,604,692 is 39602468.

The greatest common factor of 30/379,94/604,334/692 = [GCF of 30,94,334]/[LCM of 379,604,692]= 2/39602468

Therefore, the GCF of 30/379,94/604,334/692 is 2/39602468.

Greatest Common Factor of 30,94,334

To find the highest common factor of 30,94,334, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

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

The factors of 334 are 1, 2, 167, 334

The HCF of 30,94,334 is 2.

Lets's calculate GCF of 30,94,334

Greatest Common Factor (GCF) of 30,94,334 By Common Division

2	30, 94, 334
	15, 47, 167

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

Greatest Common Factor of 30,94,334 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 334

1,2,167,334

Greatest Common Factor

We found the factors 30,94,334 . The biggest common factor number is the GCF number.
So the greatest common factor 30,94,334 is 2.

Lets's calculate LCM of 379,604,692

Lowest Common Multiple of 379,604,692 using Common Division

2	379, 604, 692
2	379, 302, 346
	379, 151, 173

∴ So the LCM of the given numbers is 2 x 2 x 379 x 151 x 173 = 39602468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39602468

Therefore, the GCF of Fractions 30/379,94/604,334/692 is 2/39602468

Least Common Multiple of 379,604,692 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 379,604,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,604,692) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(379,604,692) x common factors =1 x 4 = 4

LCM(379,604,692) = ( 379 × 604 × 692 ) / 4

LCM(379,604,692) = 158409872 / 4

LCM(379,604,692) = 39602468

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 30/379, 94/604, 334/692

1. What is the HCF of 30,94,334?

The HCF of 30,94,334 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 30/379, 94/604, 334/692?

Answer: GCF of Numerators as per given numbers 30/379, 94/604, 334/692 is

GCF of Numerators i.e. for 30,94,334 is 2

LCM of denominators i.e. for 379,604,692 is 39602468.

Thus, GCF of Fractions is 2/39602468.Finally, GCF of Fractions for 30/379, 94/604, 334/692 is 2/39602468.