How to Find GCF of 5921/156, 9505/798?

GCF of 5921/156, 9505/798

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 5921/156, 9505/798 i.e 1/20748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5921/156, 9505/798.

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 5921/156,9505/798?

Given fractions are 5921/156,9505/798

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 5921/156,9505/798, numerators are 5921,9505

Denominators are 156,798

The GCF of 5921,9505 is 1 .

LCM of 156,798 is 20748.

The greatest common factor of 5921/156,9505/798 = [GCF of 5921,9505]/[LCM of 156,798]= 1/20748

Therefore, the GCF of 5921/156,9505/798 is 1/20748.

Greatest Common Factor of 5921,9505

To find the highest common factor of 5921,9505, we have to find the factors of both numbers and list the highest common factor.

The factors of 5921 are 1, 31, 191, 5921

The factors of 9505 are 1, 5, 1901, 9505

The HCF of 5921,9505 is 1.

Lets's calculate GCF of 5921,9505

Greatest Common Factor (GCF) of 5921,9505 By Common Division

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

Greatest Common Factor of 5921,9505 By Matching Biggest Common Factor Method

Now, list down the factors of 5921

1,31,191,5921

Now, list down the factors of 9505

1,5,1901,9505

Greatest Common Factor

We found the factors 5921,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 5921,9505 is 1.

Lets's calculate LCM of 156,798

Lowest Common Multiple of 156,798 using Common Division

2	156, 798
3	78, 399
	26, 133

∴ So the LCM of the given numbers is 2 x 3 x 26 x 133 = 20748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20748

Therefore, the GCF of Fractions 5921/156,9505/798 is 1/20748

Least Common Multiple of 156,798 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 156,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,798) = 6

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

GCF(156,798) x common factors =6 x 1 = 6

LCM(156,798) = ( 156 × 798 ) / 6

LCM(156,798) = 124488 / 6

LCM(156,798) = 20748

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FAQs on GCF of Fractions of 5921/156, 9505/798

1. What is the HCF of 5921,9505?

The HCF of 5921,9505 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 5921/156, 9505/798?

Answer: GCF of Numerators as per given numbers 5921/156, 9505/798 is

GCF of Numerators i.e. for 5921,9505 is 1

LCM of denominators i.e. for 156,798 is 20748.

Thus, GCF of Fractions is 1/20748.Finally, GCF of Fractions for 5921/156, 9505/798 is 1/20748.