How to Find GCF of 3537/693, 2293/7854?

GCF of 3537/693, 2293/7854

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 3537/693, 2293/7854 i.e 1/23562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3537/693, 2293/7854.

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 3537/693,2293/7854?

Given fractions are 3537/693,2293/7854

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 3537/693,2293/7854, numerators are 3537,2293

Denominators are 693,7854

The GCF of 3537,2293 is 1 .

LCM of 693,7854 is 23562.

The greatest common factor of 3537/693,2293/7854 = [GCF of 3537,2293]/[LCM of 693,7854]= 1/23562

Therefore, the GCF of 3537/693,2293/7854 is 1/23562.

Greatest Common Factor of 3537,2293

To find the highest common factor of 3537,2293, we have to find the factors of both numbers and list the highest common factor.

The factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537

The factors of 2293 are 1, 2293

The HCF of 3537,2293 is 1.

Lets's calculate GCF of 3537,2293

Greatest Common Factor (GCF) of 3537,2293 By Common Division

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

Greatest Common Factor of 3537,2293 By Matching Biggest Common Factor Method

Now, list down the factors of 3537

1,3,9,27,131,393,1179,3537

Now, list down the factors of 2293

1,2293

Greatest Common Factor

We found the factors 3537,2293 . The biggest common factor number is the GCF number.
So the greatest common factor 3537,2293 is 1.

Lets's calculate LCM of 693,7854

Lowest Common Multiple of 693,7854 using Common Division

3	693, 7854
7	231, 2618
11	33, 374
	3, 34

∴ So the LCM of the given numbers is 3 x 7 x 11 x 3 x 34 = 23562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23562

Therefore, the GCF of Fractions 3537/693,2293/7854 is 1/23562

Least Common Multiple of 693,7854 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 693,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,7854) = 231

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

GCF(693,7854) x common factors =231 x 1 = 231

LCM(693,7854) = ( 693 × 7854 ) / 231

LCM(693,7854) = 5442822 / 231

LCM(693,7854) = 23562

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3537/693, 2293/7854

1. What is the HCF of 3537,2293?

The HCF of 3537,2293 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 3537/693, 2293/7854?

Answer: GCF of Numerators as per given numbers 3537/693, 2293/7854 is

GCF of Numerators i.e. for 3537,2293 is 1

LCM of denominators i.e. for 693,7854 is 23562.

Thus, GCF of Fractions is 1/23562.Finally, GCF of Fractions for 3537/693, 2293/7854 is 1/23562.