How to Find GCF of 1937/106, 9549/854?

GCF of 1937/106, 9549/854

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 1937/106, 9549/854 i.e 1/45262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1937/106, 9549/854.

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 1937/106,9549/854?

Given fractions are 1937/106,9549/854

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 1937/106,9549/854, numerators are 1937,9549

Denominators are 106,854

The GCF of 1937,9549 is 1 .

LCM of 106,854 is 45262.

The greatest common factor of 1937/106,9549/854 = [GCF of 1937,9549]/[LCM of 106,854]= 1/45262

Therefore, the GCF of 1937/106,9549/854 is 1/45262.

Greatest Common Factor of 1937,9549

To find the highest common factor of 1937,9549, we have to find the factors of both numbers and list the highest common factor.

The factors of 1937 are 1, 13, 149, 1937

The factors of 9549 are 1, 3, 9, 1061, 3183, 9549

The HCF of 1937,9549 is 1.

Lets's calculate GCF of 1937,9549

Greatest Common Factor (GCF) of 1937,9549 By Common Division

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

Greatest Common Factor of 1937,9549 By Matching Biggest Common Factor Method

Now, list down the factors of 1937

1,13,149,1937

Now, list down the factors of 9549

1,3,9,1061,3183,9549

Greatest Common Factor

We found the factors 1937,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 1937,9549 is 1.

Lets's calculate LCM of 106,854

Lowest Common Multiple of 106,854 using Common Division

2	106, 854
	53, 427

∴ So the LCM of the given numbers is 2 x 53 x 427 = 45262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45262

Therefore, the GCF of Fractions 1937/106,9549/854 is 1/45262

Least Common Multiple of 106,854 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 106,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,854) = 2

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

GCF(106,854) x common factors =2 x 1 = 2

LCM(106,854) = ( 106 × 854 ) / 2

LCM(106,854) = 90524 / 2

LCM(106,854) = 45262

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FAQs on GCF of Fractions of 1937/106, 9549/854

1. What is the HCF of 1937,9549?

The HCF of 1937,9549 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 1937/106, 9549/854?

Answer: GCF of Numerators as per given numbers 1937/106, 9549/854 is

GCF of Numerators i.e. for 1937,9549 is 1

LCM of denominators i.e. for 106,854 is 45262.

Thus, GCF of Fractions is 1/45262.Finally, GCF of Fractions for 1937/106, 9549/854 is 1/45262.