How to Find GCF of 698/984, 9405/360?

GCF of 698/984, 9405/360

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 698/984, 9405/360 i.e 1/14760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/984, 9405/360.

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 698/984,9405/360?

Given fractions are 698/984,9405/360

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 698/984,9405/360, numerators are 698,9405

Denominators are 984,360

The GCF of 698,9405 is 1 .

LCM of 984,360 is 14760.

The greatest common factor of 698/984,9405/360 = [GCF of 698,9405]/[LCM of 984,360]= 1/14760

Therefore, the GCF of 698/984,9405/360 is 1/14760.

Greatest Common Factor of 698,9405

To find the highest common factor of 698,9405, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405

The HCF of 698,9405 is 1.

Lets's calculate GCF of 698,9405

Greatest Common Factor (GCF) of 698,9405 By Common Division

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

Greatest Common Factor of 698,9405 By Matching Biggest Common Factor Method

Now, list down the factors of 698

1,2,349,698

Now, list down the factors of 9405

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Greatest Common Factor

We found the factors 698,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 698,9405 is 1.

Lets's calculate LCM of 984,360

Lowest Common Multiple of 984,360 using Common Division

2	984, 360
2	492, 180
2	246, 90
3	123, 45
	41, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 15 = 14760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14760

Therefore, the GCF of Fractions 698/984,9405/360 is 1/14760

Least Common Multiple of 984,360 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 984,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,360) = 24

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

GCF(984,360) x common factors =24 x 1 = 24

LCM(984,360) = ( 984 × 360 ) / 24

LCM(984,360) = 354240 / 24

LCM(984,360) = 14760

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FAQs on GCF of Fractions of 698/984, 9405/360

1. What is the HCF of 698,9405?

The HCF of 698,9405 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 698/984, 9405/360?

Answer: GCF of Numerators as per given numbers 698/984, 9405/360 is

GCF of Numerators i.e. for 698,9405 is 1

LCM of denominators i.e. for 984,360 is 14760.

Thus, GCF of Fractions is 1/14760.Finally, GCF of Fractions for 698/984, 9405/360 is 1/14760.