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GCF of 690/462, 627/176

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 690/462, 627/176 i.e 3/3696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/462, 627/176.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 690/462,627/176?

Given fractions are 690/462,627/176

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 690/462,627/176, numerators are 690,627

Denominators are 462,176

The GCF of 690,627 is 3 .

LCM of 462,176 is 3696.

The greatest common factor of 690/462,627/176 = [GCF of 690,627]/[LCM of 462,176]= 3/3696

Therefore, the GCF of 690/462,627/176 is 3/3696.

Greatest Common Factor of 690,627

To find the highest common factor of 690,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 690,627 is 3.

Lets's calculate GCF of 690,627

Greatest Common Factor (GCF) of 690,627 By Common Division

3 690, 627
230, 209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 690,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,627 By Matching Biggest Common Factor Method

Now, list down the factors of 690

:

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 690,627 . The biggest common factor number is the GCF number.
So the greatest common factor 690,627 is 3.

Lets's calculate LCM of 462,176

Lowest Common Multiple of 462,176 using Common Division

2 462, 176
11 231, 88
21, 8

∴ So the LCM of the given numbers is 2 x 11 x 21 x 8 = 3696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3696

Therefore, the GCF of Fractions 690/462,627/176 is 3/3696

Least Common Multiple of 462,176 with GCF Formula

Least Common Multiple of 462,176 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 462,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,176) = 22

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

GCF(462,176) x common factors =22 x 1 = 22

LCM(462,176) = ( 462 × 176 ) / 22

LCM(462,176) = 81312 / 22

LCM(462,176) = 3696


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FAQs on GCF of Fractions of 690/462, 627/176

1. What is the HCF of 690,627?

The HCF of 690,627 is 3

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 690/462, 627/176?

Answer: GCF of Numerators as per given numbers 690/462, 627/176 is

GCF of Numerators i.e. for 690,627 is 3

LCM of denominators i.e. for 462,176 is 3696.

Thus, GCF of Fractions is 3/3696.Finally, GCF of Fractions for 690/462, 627/176 is 3/3696.