How to Find GCF of 427/666, 5658/654?

GCF of 427/666, 5658/654

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 427/666, 5658/654 i.e 1/72594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/666, 5658/654.

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 427/666,5658/654?

Given fractions are 427/666,5658/654

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 427/666,5658/654, numerators are 427,5658

Denominators are 666,654

The GCF of 427,5658 is 1 .

LCM of 666,654 is 72594.

The greatest common factor of 427/666,5658/654 = [GCF of 427,5658]/[LCM of 666,654]= 1/72594

Therefore, the GCF of 427/666,5658/654 is 1/72594.

Greatest Common Factor of 427,5658

To find the highest common factor of 427,5658, we have to find the factors of both numbers and list the highest common factor.

The factors of 427 are 1, 7, 61, 427

The factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658

The HCF of 427,5658 is 1.

Lets's calculate GCF of 427,5658

Greatest Common Factor (GCF) of 427,5658 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 427,5658 By Matching Biggest Common Factor Method

Now, list down the factors of 427

1,7,61,427

Now, list down the factors of 5658

1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658

Greatest Common Factor

We found the factors 427,5658 . The biggest common factor number is the GCF number.
So the greatest common factor 427,5658 is 1.

Lets's calculate LCM of 666,654

Lowest Common Multiple of 666,654 using Common Division

2	666, 654
3	333, 327
	111, 109

∴ So the LCM of the given numbers is 2 x 3 x 111 x 109 = 72594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72594

Therefore, the GCF of Fractions 427/666,5658/654 is 1/72594

Least Common Multiple of 666,654 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 666,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,654) = 6

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

GCF(666,654) x common factors =6 x 1 = 6

LCM(666,654) = ( 666 × 654 ) / 6

LCM(666,654) = 435564 / 6

LCM(666,654) = 72594

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FAQs on GCF of Fractions of 427/666, 5658/654

1. What is the HCF of 427,5658?

The HCF of 427,5658 is 1

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 427/666, 5658/654?

Answer: GCF of Numerators as per given numbers 427/666, 5658/654 is

GCF of Numerators i.e. for 427,5658 is 1

LCM of denominators i.e. for 666,654 is 72594.

Thus, GCF of Fractions is 1/72594.Finally, GCF of Fractions for 427/666, 5658/654 is 1/72594.