How to Find GCF of 640/21, 936/698?

GCF of 640/21, 936/698

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 640/21, 936/698 i.e 8/14658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/21, 936/698.

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 640/21,936/698?

Given fractions are 640/21,936/698

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 640/21,936/698, numerators are 640,936

Denominators are 21,698

The GCF of 640,936 is 8 .

LCM of 21,698 is 14658.

The greatest common factor of 640/21,936/698 = [GCF of 640,936]/[LCM of 21,698]= 8/14658

Therefore, the GCF of 640/21,936/698 is 8/14658.

Greatest Common Factor of 640,936

To find the highest common factor of 640,936, we have to find the factors of both numbers and list the highest common factor.

The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The HCF of 640,936 is 8.

Lets's calculate GCF of 640,936

Greatest Common Factor (GCF) of 640,936 By Common Division

2	640, 936
2	320, 468
2	160, 234
	80, 117

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 640,936 By Matching Biggest Common Factor Method

Now, list down the factors of 640

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Now, list down the factors of 936

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 640,936 . The biggest common factor number is the GCF number.
So the greatest common factor 640,936 is 8.

Lets's calculate LCM of 21,698

Lowest Common Multiple of 21,698 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/14658

Therefore, the GCF of Fractions 640/21,936/698 is 8/14658

Least Common Multiple of 21,698 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 21,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,698) = 1

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

GCF(21,698) x common factors =1 x 1 = 1

LCM(21,698) = ( 21 × 698 ) / 1

LCM(21,698) = 14658 / 1

LCM(21,698) = 14658

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 640/21, 936/698

1. What is the HCF of 640,936?

The HCF of 640,936 is 8

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 640/21, 936/698?

Answer: GCF of Numerators as per given numbers 640/21, 936/698 is

GCF of Numerators i.e. for 640,936 is 8

LCM of denominators i.e. for 21,698 is 14658.

Thus, GCF of Fractions is 8/14658.Finally, GCF of Fractions for 640/21, 936/698 is 8/14658.