How to Find GCF of 162/42, 770/544?

GCF of 162/42, 770/544

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 162/42, 770/544 i.e 2/11424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/42, 770/544.

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 162/42,770/544?

Given fractions are 162/42,770/544

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 162/42,770/544, numerators are 162,770

Denominators are 42,544

The GCF of 162,770 is 2 .

LCM of 42,544 is 11424.

The greatest common factor of 162/42,770/544 = [GCF of 162,770]/[LCM of 42,544]= 2/11424

Therefore, the GCF of 162/42,770/544 is 2/11424.

Greatest Common Factor of 162,770

To find the highest common factor of 162,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 162,770 is 2.

Lets's calculate GCF of 162,770

Greatest Common Factor (GCF) of 162,770 By Common Division

2	162, 770
	81, 385

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

Greatest Common Factor of 162,770 By Matching Biggest Common Factor Method

Now, list down the factors of 162

1,2,3,6,9,18,27,54,81,162

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 162,770 . The biggest common factor number is the GCF number.
So the greatest common factor 162,770 is 2.

Lets's calculate LCM of 42,544

Lowest Common Multiple of 42,544 using Common Division

2	42, 544
	21, 272

∴ So the LCM of the given numbers is 2 x 21 x 272 = 11424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11424

Therefore, the GCF of Fractions 162/42,770/544 is 2/11424

Least Common Multiple of 42,544 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 42,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,544) = 2

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

GCF(42,544) x common factors =2 x 1 = 2

LCM(42,544) = ( 42 × 544 ) / 2

LCM(42,544) = 22848 / 2

LCM(42,544) = 11424

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FAQs on GCF of Fractions of 162/42, 770/544

1. What is the HCF of 162,770?

The HCF of 162,770 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 162/42, 770/544?

Answer: GCF of Numerators as per given numbers 162/42, 770/544 is

GCF of Numerators i.e. for 162,770 is 2

LCM of denominators i.e. for 42,544 is 11424.

Thus, GCF of Fractions is 2/11424.Finally, GCF of Fractions for 162/42, 770/544 is 2/11424.