How to Find GCF of 3422/968, 4462/744?

GCF of 3422/968, 4462/744

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 3422/968, 4462/744 i.e 2/90024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3422/968, 4462/744.

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 3422/968,4462/744?

Given fractions are 3422/968,4462/744

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 3422/968,4462/744, numerators are 3422,4462

Denominators are 968,744

The GCF of 3422,4462 is 2 .

LCM of 968,744 is 90024.

The greatest common factor of 3422/968,4462/744 = [GCF of 3422,4462]/[LCM of 968,744]= 2/90024

Therefore, the GCF of 3422/968,4462/744 is 2/90024.

Greatest Common Factor of 3422,4462

To find the highest common factor of 3422,4462, we have to find the factors of both numbers and list the highest common factor.

The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422

The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462

The HCF of 3422,4462 is 2.

Lets's calculate GCF of 3422,4462

Greatest Common Factor (GCF) of 3422,4462 By Common Division

2	3422, 4462
	1711, 2231

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

Greatest Common Factor of 3422,4462 By Matching Biggest Common Factor Method

Now, list down the factors of 3422

1,2,29,58,59,118,1711,3422

Now, list down the factors of 4462

1,2,23,46,97,194,2231,4462

Greatest Common Factor

We found the factors 3422,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 3422,4462 is 2.

Lets's calculate LCM of 968,744

Lowest Common Multiple of 968,744 using Common Division

2	968, 744
2	484, 372
2	242, 186
	121, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 93 = 90024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90024

Therefore, the GCF of Fractions 3422/968,4462/744 is 2/90024

Least Common Multiple of 968,744 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 968,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,744) = 8

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

GCF(968,744) x common factors =8 x 1 = 8

LCM(968,744) = ( 968 × 744 ) / 8

LCM(968,744) = 720192 / 8

LCM(968,744) = 90024

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3422/968, 4462/744

1. What is the HCF of 3422,4462?

The HCF of 3422,4462 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 3422/968, 4462/744?

Answer: GCF of Numerators as per given numbers 3422/968, 4462/744 is

GCF of Numerators i.e. for 3422,4462 is 2

LCM of denominators i.e. for 968,744 is 90024.

Thus, GCF of Fractions is 2/90024.Finally, GCF of Fractions for 3422/968, 4462/744 is 2/90024.