How to Find GCF of 1402/236, 3622/2232?

GCF of 1402/236, 3622/2232

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 1402/236, 3622/2232 i.e 2/131688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1402/236, 3622/2232.

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 1402/236,3622/2232?

Given fractions are 1402/236,3622/2232

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 1402/236,3622/2232, numerators are 1402,3622

Denominators are 236,2232

The GCF of 1402,3622 is 2 .

LCM of 236,2232 is 131688.

The greatest common factor of 1402/236,3622/2232 = [GCF of 1402,3622]/[LCM of 236,2232]= 2/131688

Therefore, the GCF of 1402/236,3622/2232 is 2/131688.

Greatest Common Factor of 1402,3622

To find the highest common factor of 1402,3622, we have to find the factors of both numbers and list the highest common factor.

The factors of 1402 are 1, 2, 701, 1402

The factors of 3622 are 1, 2, 1811, 3622

The HCF of 1402,3622 is 2.

Lets's calculate GCF of 1402,3622

Greatest Common Factor (GCF) of 1402,3622 By Common Division

2	1402, 3622
	701, 1811

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

Greatest Common Factor of 1402,3622 By Matching Biggest Common Factor Method

Now, list down the factors of 1402

1,2,701,1402

Now, list down the factors of 3622

1,2,1811,3622

Greatest Common Factor

We found the factors 1402,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 1402,3622 is 2.

Lets's calculate LCM of 236,2232

Lowest Common Multiple of 236,2232 using Common Division

2	236, 2232
2	118, 1116
	59, 558

∴ So the LCM of the given numbers is 2 x 2 x 59 x 558 = 131688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131688

Therefore, the GCF of Fractions 1402/236,3622/2232 is 2/131688

Least Common Multiple of 236,2232 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 236,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,2232) = 4

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

GCF(236,2232) x common factors =4 x 1 = 4

LCM(236,2232) = ( 236 × 2232 ) / 4

LCM(236,2232) = 526752 / 4

LCM(236,2232) = 131688

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FAQs on GCF of Fractions of 1402/236, 3622/2232

1. What is the HCF of 1402,3622?

The HCF of 1402,3622 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 1402/236, 3622/2232?

Answer: GCF of Numerators as per given numbers 1402/236, 3622/2232 is

GCF of Numerators i.e. for 1402,3622 is 2

LCM of denominators i.e. for 236,2232 is 131688.

Thus, GCF of Fractions is 2/131688.Finally, GCF of Fractions for 1402/236, 3622/2232 is 2/131688.