How to Find GCF of 1658/158, 3361/7742?

GCF of 1658/158, 3361/7742

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 1658/158, 3361/7742 i.e 1/7742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1658/158, 3361/7742.

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 1658/158,3361/7742?

Given fractions are 1658/158,3361/7742

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 1658/158,3361/7742, numerators are 1658,3361

Denominators are 158,7742

The GCF of 1658,3361 is 1 .

LCM of 158,7742 is 7742.

The greatest common factor of 1658/158,3361/7742 = [GCF of 1658,3361]/[LCM of 158,7742]= 1/7742

Therefore, the GCF of 1658/158,3361/7742 is 1/7742.

Greatest Common Factor of 1658,3361

To find the highest common factor of 1658,3361, we have to find the factors of both numbers and list the highest common factor.

The factors of 1658 are 1, 2, 829, 1658

The factors of 3361 are 1, 3361

The HCF of 1658,3361 is 1.

Lets's calculate GCF of 1658,3361

Greatest Common Factor (GCF) of 1658,3361 By Common Division

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

Greatest Common Factor of 1658,3361 By Matching Biggest Common Factor Method

Now, list down the factors of 1658

1,2,829,1658

Now, list down the factors of 3361

1,3361

Greatest Common Factor

We found the factors 1658,3361 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,3361 is 1.

Lets's calculate LCM of 158,7742

Lowest Common Multiple of 158,7742 using Common Division

2	158, 7742
79	79, 3871
	1, 49

∴ So the LCM of the given numbers is 2 x 79 x 1 x 49 = 7742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7742

Therefore, the GCF of Fractions 1658/158,3361/7742 is 1/7742

Least Common Multiple of 158,7742 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 158,7742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,7742) = 158

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

GCF(158,7742) x common factors =158 x 1 = 158

LCM(158,7742) = ( 158 × 7742 ) / 158

LCM(158,7742) = 1223236 / 158

LCM(158,7742) = 7742

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FAQs on GCF of Fractions of 1658/158, 3361/7742

1. What is the HCF of 1658,3361?

The HCF of 1658,3361 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 1658/158, 3361/7742?

Answer: GCF of Numerators as per given numbers 1658/158, 3361/7742 is

GCF of Numerators i.e. for 1658,3361 is 1

LCM of denominators i.e. for 158,7742 is 7742.

Thus, GCF of Fractions is 1/7742.Finally, GCF of Fractions for 1658/158, 3361/7742 is 1/7742.