How to Find GCF of 177/984, 3362/784?

GCF of 177/984, 3362/784

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 177/984, 3362/784 i.e 1/96432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/984, 3362/784.

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 177/984,3362/784?

Given fractions are 177/984,3362/784

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 177/984,3362/784, numerators are 177,3362

Denominators are 984,784

The GCF of 177,3362 is 1 .

LCM of 984,784 is 96432.

The greatest common factor of 177/984,3362/784 = [GCF of 177,3362]/[LCM of 984,784]= 1/96432

Therefore, the GCF of 177/984,3362/784 is 1/96432.

Greatest Common Factor of 177,3362

To find the highest common factor of 177,3362, we have to find the factors of both numbers and list the highest common factor.

The factors of 177 are 1, 3, 59, 177

The factors of 3362 are 1, 2, 41, 82, 1681, 3362

The HCF of 177,3362 is 1.

Lets's calculate GCF of 177,3362

Greatest Common Factor (GCF) of 177,3362 By Common Division

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

Greatest Common Factor of 177,3362 By Matching Biggest Common Factor Method

Now, list down the factors of 177

1,3,59,177

Now, list down the factors of 3362

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors 177,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 177,3362 is 1.

Lets's calculate LCM of 984,784

Lowest Common Multiple of 984,784 using Common Division

2	984, 784
2	492, 392
2	246, 196
	123, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 98 = 96432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96432

Therefore, the GCF of Fractions 177/984,3362/784 is 1/96432

Least Common Multiple of 984,784 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 984,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,784) = 8

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

GCF(984,784) x common factors =8 x 1 = 8

LCM(984,784) = ( 984 × 784 ) / 8

LCM(984,784) = 771456 / 8

LCM(984,784) = 96432

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FAQs on GCF of Fractions of 177/984, 3362/784

1. What is the HCF of 177,3362?

The HCF of 177,3362 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 177/984, 3362/784?

Answer: GCF of Numerators as per given numbers 177/984, 3362/784 is

GCF of Numerators i.e. for 177,3362 is 1

LCM of denominators i.e. for 984,784 is 96432.

Thus, GCF of Fractions is 1/96432.Finally, GCF of Fractions for 177/984, 3362/784 is 1/96432.