How to Find GCF of 8126/978, 1598/159?

GCF of 8126/978, 1598/159

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 8126/978, 1598/159 i.e 34/51834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8126/978, 1598/159.

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 8126/978,1598/159?

Given fractions are 8126/978,1598/159

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 8126/978,1598/159, numerators are 8126,1598

Denominators are 978,159

The GCF of 8126,1598 is 34 .

LCM of 978,159 is 51834.

The greatest common factor of 8126/978,1598/159 = [GCF of 8126,1598]/[LCM of 978,159]= 34/51834

Therefore, the GCF of 8126/978,1598/159 is 34/51834.

Greatest Common Factor of 8126,1598

To find the highest common factor of 8126,1598, we have to find the factors of both numbers and list the highest common factor.

The factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126

The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598

The HCF of 8126,1598 is 34.

Lets's calculate GCF of 8126,1598

Greatest Common Factor (GCF) of 8126,1598 By Common Division

2	8126, 1598
17	4063, 799
	239, 47

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 8126,1598 By Matching Biggest Common Factor Method

Now, list down the factors of 8126

1,2,17,34,239,478,4063,8126

Now, list down the factors of 1598

1,2,17,34,47,94,799,1598

Greatest Common Factor

We found the factors 8126,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 8126,1598 is 34.

Lets's calculate LCM of 978,159

Lowest Common Multiple of 978,159 using Common Division

3	978, 159
	326, 53

∴ So the LCM of the given numbers is 3 x 326 x 53 = 51834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/51834

Therefore, the GCF of Fractions 8126/978,1598/159 is 34/51834

Least Common Multiple of 978,159 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 978,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,159) = 3

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

GCF(978,159) x common factors =3 x 1 = 3

LCM(978,159) = ( 978 × 159 ) / 3

LCM(978,159) = 155502 / 3

LCM(978,159) = 51834

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8126/978, 1598/159

1. What is the HCF of 8126,1598?

The HCF of 8126,1598 is 34

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 8126/978, 1598/159?

Answer: GCF of Numerators as per given numbers 8126/978, 1598/159 is

GCF of Numerators i.e. for 8126,1598 is 34

LCM of denominators i.e. for 978,159 is 51834.

Thus, GCF of Fractions is 34/51834.Finally, GCF of Fractions for 8126/978, 1598/159 is 34/51834.