How to Find GCF of 1549/950, 1159/6796?

GCF of 1549/950, 1159/6796

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 1549/950, 1159/6796 i.e 1/3228100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1549/950, 1159/6796.

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 1549/950,1159/6796?

Given fractions are 1549/950,1159/6796

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 1549/950,1159/6796, numerators are 1549,1159

Denominators are 950,6796

The GCF of 1549,1159 is 1 .

LCM of 950,6796 is 3228100.

The greatest common factor of 1549/950,1159/6796 = [GCF of 1549,1159]/[LCM of 950,6796]= 1/3228100

Therefore, the GCF of 1549/950,1159/6796 is 1/3228100.

Greatest Common Factor of 1549,1159

To find the highest common factor of 1549,1159, we have to find the factors of both numbers and list the highest common factor.

The factors of 1549 are 1, 1549

The factors of 1159 are 1, 19, 61, 1159

The HCF of 1549,1159 is 1.

Lets's calculate GCF of 1549,1159

Greatest Common Factor (GCF) of 1549,1159 By Common Division

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

Greatest Common Factor of 1549,1159 By Matching Biggest Common Factor Method

Now, list down the factors of 1549

1,1549

Now, list down the factors of 1159

1,19,61,1159

Greatest Common Factor

We found the factors 1549,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 1549,1159 is 1.

Lets's calculate LCM of 950,6796

Lowest Common Multiple of 950,6796 using Common Division

2	950, 6796
	475, 3398

∴ So the LCM of the given numbers is 2 x 475 x 3398 = 3228100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3228100

Therefore, the GCF of Fractions 1549/950,1159/6796 is 1/3228100

Least Common Multiple of 950,6796 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 950,6796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,6796) = 2

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

GCF(950,6796) x common factors =2 x 1 = 2

LCM(950,6796) = ( 950 × 6796 ) / 2

LCM(950,6796) = 6456200 / 2

LCM(950,6796) = 3228100

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FAQs on GCF of Fractions of 1549/950, 1159/6796

1. What is the HCF of 1549,1159?

The HCF of 1549,1159 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 1549/950, 1159/6796?

Answer: GCF of Numerators as per given numbers 1549/950, 1159/6796 is

GCF of Numerators i.e. for 1549,1159 is 1

LCM of denominators i.e. for 950,6796 is 3228100.

Thus, GCF of Fractions is 1/3228100.Finally, GCF of Fractions for 1549/950, 1159/6796 is 1/3228100.