How to Find GCF of 1937/837, 9001/1693?

GCF of 1937/837, 9001/1693

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 1937/837, 9001/1693 i.e 1/1417041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1937/837, 9001/1693.

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 1937/837,9001/1693?

Given fractions are 1937/837,9001/1693

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 1937/837,9001/1693, numerators are 1937,9001

Denominators are 837,1693

The GCF of 1937,9001 is 1 .

LCM of 837,1693 is 1417041.

The greatest common factor of 1937/837,9001/1693 = [GCF of 1937,9001]/[LCM of 837,1693]= 1/1417041

Therefore, the GCF of 1937/837,9001/1693 is 1/1417041.

Greatest Common Factor of 1937,9001

To find the highest common factor of 1937,9001, 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 9001 are 1, 9001

The HCF of 1937,9001 is 1.

Lets's calculate GCF of 1937,9001

Greatest Common Factor (GCF) of 1937,9001 By Common Division

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

Greatest Common Factor of 1937,9001 By Matching Biggest Common Factor Method

Now, list down the factors of 1937

1,13,149,1937

Now, list down the factors of 9001

1,9001

Greatest Common Factor

We found the factors 1937,9001 . The biggest common factor number is the GCF number.
So the greatest common factor 1937,9001 is 1.

Lets's calculate LCM of 837,1693

Lowest Common Multiple of 837,1693 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1417041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417041

Therefore, the GCF of Fractions 1937/837,9001/1693 is 1/1417041

Least Common Multiple of 837,1693 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 837,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,1693) = 1

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

GCF(837,1693) x common factors =1 x 1 = 1

LCM(837,1693) = ( 837 × 1693 ) / 1

LCM(837,1693) = 1417041 / 1

LCM(837,1693) = 1417041

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1937/837, 9001/1693

1. What is the HCF of 1937,9001?

The HCF of 1937,9001 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 1937/837, 9001/1693?

Answer: GCF of Numerators as per given numbers 1937/837, 9001/1693 is

GCF of Numerators i.e. for 1937,9001 is 1

LCM of denominators i.e. for 837,1693 is 1417041.

Thus, GCF of Fractions is 1/1417041.Finally, GCF of Fractions for 1937/837, 9001/1693 is 1/1417041.