How to Find GCF of 320/697, 6266/564?

GCF of 320/697, 6266/564

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 320/697, 6266/564 i.e 2/393108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 320/697, 6266/564.

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 320/697,6266/564?

Given fractions are 320/697,6266/564

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 320/697,6266/564, numerators are 320,6266

Denominators are 697,564

The GCF of 320,6266 is 2 .

LCM of 697,564 is 393108.

The greatest common factor of 320/697,6266/564 = [GCF of 320,6266]/[LCM of 697,564]= 2/393108

Therefore, the GCF of 320/697,6266/564 is 2/393108.

Greatest Common Factor of 320,6266

To find the highest common factor of 320,6266, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266

The HCF of 320,6266 is 2.

Lets's calculate GCF of 320,6266

Greatest Common Factor (GCF) of 320,6266 By Common Division

2	320, 6266
	160, 3133

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

Greatest Common Factor of 320,6266 By Matching Biggest Common Factor Method

Now, list down the factors of 320

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

Now, list down the factors of 6266

1,2,13,26,241,482,3133,6266

Greatest Common Factor

We found the factors 320,6266 . The biggest common factor number is the GCF number.
So the greatest common factor 320,6266 is 2.

Lets's calculate LCM of 697,564

Lowest Common Multiple of 697,564 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/393108

Therefore, the GCF of Fractions 320/697,6266/564 is 2/393108

Least Common Multiple of 697,564 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 697,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,564) = 1

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

GCF(697,564) x common factors =1 x 1 = 1

LCM(697,564) = ( 697 × 564 ) / 1

LCM(697,564) = 393108 / 1

LCM(697,564) = 393108

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FAQs on GCF of Fractions of 320/697, 6266/564

1. What is the HCF of 320,6266?

The HCF of 320,6266 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 320/697, 6266/564?

Answer: GCF of Numerators as per given numbers 320/697, 6266/564 is

GCF of Numerators i.e. for 320,6266 is 2

LCM of denominators i.e. for 697,564 is 393108.

Thus, GCF of Fractions is 2/393108.Finally, GCF of Fractions for 320/697, 6266/564 is 2/393108.