How to Find GCF of 984/790, 216/356?

GCF of 984/790, 216/356

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 984/790, 216/356 i.e 24/140620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 984/790, 216/356.

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 984/790,216/356?

Given fractions are 984/790,216/356

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 984/790,216/356, numerators are 984,216

Denominators are 790,356

The GCF of 984,216 is 24 .

LCM of 790,356 is 140620.

The greatest common factor of 984/790,216/356 = [GCF of 984,216]/[LCM of 790,356]= 24/140620

Therefore, the GCF of 984/790,216/356 is 24/140620.

Greatest Common Factor of 984,216

To find the highest common factor of 984,216, we have to find the factors of both numbers and list the highest common factor.

The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

The HCF of 984,216 is 24.

Lets's calculate GCF of 984,216

Greatest Common Factor (GCF) of 984,216 By Common Division

2	984, 216
2	492, 108
2	246, 54
3	123, 27
	41, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 984,216 By Matching Biggest Common Factor Method

Now, list down the factors of 984

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Now, list down the factors of 216

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 984,216 . The biggest common factor number is the GCF number.
So the greatest common factor 984,216 is 24.

Lets's calculate LCM of 790,356

Lowest Common Multiple of 790,356 using Common Division

2	790, 356
	395, 178

∴ So the LCM of the given numbers is 2 x 395 x 178 = 140620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/140620

Therefore, the GCF of Fractions 984/790,216/356 is 24/140620

Least Common Multiple of 790,356 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 790,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,356) = 2

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

GCF(790,356) x common factors =2 x 1 = 2

LCM(790,356) = ( 790 × 356 ) / 2

LCM(790,356) = 281240 / 2

LCM(790,356) = 140620

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FAQs on GCF of Fractions of 984/790, 216/356

1. What is the HCF of 984,216?

The HCF of 984,216 is 24

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 984/790, 216/356?

Answer: GCF of Numerators as per given numbers 984/790, 216/356 is

GCF of Numerators i.e. for 984,216 is 24

LCM of denominators i.e. for 790,356 is 140620.

Thus, GCF of Fractions is 24/140620.Finally, GCF of Fractions for 984/790, 216/356 is 24/140620.