How to Find GCF of 697/296, 4469/940?

GCF of 697/296, 4469/940

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 697/296, 4469/940 i.e 41/69560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 697/296, 4469/940.

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 697/296,4469/940?

Given fractions are 697/296,4469/940

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 697/296,4469/940, numerators are 697,4469

Denominators are 296,940

The GCF of 697,4469 is 41 .

LCM of 296,940 is 69560.

The greatest common factor of 697/296,4469/940 = [GCF of 697,4469]/[LCM of 296,940]= 41/69560

Therefore, the GCF of 697/296,4469/940 is 41/69560.

Greatest Common Factor of 697,4469

To find the highest common factor of 697,4469, we have to find the factors of both numbers and list the highest common factor.

The factors of 697 are 1, 17, 41, 697

The factors of 4469 are 1, 41, 109, 4469

The HCF of 697,4469 is 41.

Lets's calculate GCF of 697,4469

Greatest Common Factor (GCF) of 697,4469 By Common Division

41	697, 4469
	17, 109

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 697,4469 By Matching Biggest Common Factor Method

Now, list down the factors of 697

1,17,41,697

Now, list down the factors of 4469

1,41,109,4469

Greatest Common Factor

We found the factors 697,4469 . The biggest common factor number is the GCF number.
So the greatest common factor 697,4469 is 41.

Lets's calculate LCM of 296,940

Lowest Common Multiple of 296,940 using Common Division

2	296, 940
2	148, 470
	74, 235

∴ So the LCM of the given numbers is 2 x 2 x 74 x 235 = 69560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/69560

Therefore, the GCF of Fractions 697/296,4469/940 is 41/69560

Least Common Multiple of 296,940 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 296,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,940) = 4

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

GCF(296,940) x common factors =4 x 1 = 4

LCM(296,940) = ( 296 × 940 ) / 4

LCM(296,940) = 278240 / 4

LCM(296,940) = 69560

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 697/296, 4469/940

1. What is the HCF of 697,4469?

The HCF of 697,4469 is 41

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 697/296, 4469/940?

Answer: GCF of Numerators as per given numbers 697/296, 4469/940 is

GCF of Numerators i.e. for 697,4469 is 41

LCM of denominators i.e. for 296,940 is 69560.

Thus, GCF of Fractions is 41/69560.Finally, GCF of Fractions for 697/296, 4469/940 is 41/69560.