How to Find GCF of 702/697, 4000/380?

GCF of 702/697, 4000/380

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 702/697, 4000/380 i.e 2/264860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/697, 4000/380.

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 702/697,4000/380?

Given fractions are 702/697,4000/380

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 702/697,4000/380, numerators are 702,4000

Denominators are 697,380

The GCF of 702,4000 is 2 .

LCM of 697,380 is 264860.

The greatest common factor of 702/697,4000/380 = [GCF of 702,4000]/[LCM of 697,380]= 2/264860

Therefore, the GCF of 702/697,4000/380 is 2/264860.

Greatest Common Factor of 702,4000

To find the highest common factor of 702,4000, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000

The HCF of 702,4000 is 2.

Lets's calculate GCF of 702,4000

Greatest Common Factor (GCF) of 702,4000 By Common Division

2	702, 4000
	351, 2000

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

Greatest Common Factor of 702,4000 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 4000

1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000

Greatest Common Factor

We found the factors 702,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 702,4000 is 2.

Lets's calculate LCM of 697,380

Lowest Common Multiple of 697,380 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 264860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264860

Therefore, the GCF of Fractions 702/697,4000/380 is 2/264860

Least Common Multiple of 697,380 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 697,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,380) = 1

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

GCF(697,380) x common factors =1 x 1 = 1

LCM(697,380) = ( 697 × 380 ) / 1

LCM(697,380) = 264860 / 1

LCM(697,380) = 264860

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FAQs on GCF of Fractions of 702/697, 4000/380

1. What is the HCF of 702,4000?

The HCF of 702,4000 is 2

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 702/697, 4000/380?

Answer: GCF of Numerators as per given numbers 702/697, 4000/380 is

GCF of Numerators i.e. for 702,4000 is 2

LCM of denominators i.e. for 697,380 is 264860.

Thus, GCF of Fractions is 2/264860.Finally, GCF of Fractions for 702/697, 4000/380 is 2/264860.