How to Find GCF of 392/852, 440/468?

GCF of 392/852, 440/468

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 392/852, 440/468 i.e 8/33228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/852, 440/468.

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 392/852,440/468?

Given fractions are 392/852,440/468

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 392/852,440/468, numerators are 392,440

Denominators are 852,468

The GCF of 392,440 is 8 .

LCM of 852,468 is 33228.

The greatest common factor of 392/852,440/468 = [GCF of 392,440]/[LCM of 852,468]= 8/33228

Therefore, the GCF of 392/852,440/468 is 8/33228.

Greatest Common Factor of 392,440

To find the highest common factor of 392,440, we have to find the factors of both numbers and list the highest common factor.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The HCF of 392,440 is 8.

Lets's calculate GCF of 392,440

Greatest Common Factor (GCF) of 392,440 By Common Division

2	392, 440
2	196, 220
2	98, 110
	49, 55

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 392,440 By Matching Biggest Common Factor Method

Now, list down the factors of 392

1,2,4,7,8,14,28,49,56,98,196,392

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 392,440 . The biggest common factor number is the GCF number.
So the greatest common factor 392,440 is 8.

Lets's calculate LCM of 852,468

Lowest Common Multiple of 852,468 using Common Division

2	852, 468
2	426, 234
3	213, 117
	71, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 39 = 33228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/33228

Therefore, the GCF of Fractions 392/852,440/468 is 8/33228

Least Common Multiple of 852,468 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 852,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,468) = 12

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

GCF(852,468) x common factors =12 x 1 = 12

LCM(852,468) = ( 852 × 468 ) / 12

LCM(852,468) = 398736 / 12

LCM(852,468) = 33228

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FAQs on GCF of Fractions of 392/852, 440/468

1. What is the HCF of 392,440?

The HCF of 392,440 is 8

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 392/852, 440/468?

Answer: GCF of Numerators as per given numbers 392/852, 440/468 is

GCF of Numerators i.e. for 392,440 is 8

LCM of denominators i.e. for 852,468 is 33228.

Thus, GCF of Fractions is 8/33228.Finally, GCF of Fractions for 392/852, 440/468 is 8/33228.