How to Find GCF of 6412/697, 1942/4563?

GCF of 6412/697, 1942/4563

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 6412/697, 1942/4563 i.e 2/3180411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6412/697, 1942/4563.

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 6412/697,1942/4563?

Given fractions are 6412/697,1942/4563

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 6412/697,1942/4563, numerators are 6412,1942

Denominators are 697,4563

The GCF of 6412,1942 is 2 .

LCM of 697,4563 is 3180411.

The greatest common factor of 6412/697,1942/4563 = [GCF of 6412,1942]/[LCM of 697,4563]= 2/3180411

Therefore, the GCF of 6412/697,1942/4563 is 2/3180411.

Greatest Common Factor of 6412,1942

To find the highest common factor of 6412,1942, we have to find the factors of both numbers and list the highest common factor.

The factors of 6412 are 1, 2, 4, 7, 14, 28, 229, 458, 916, 1603, 3206, 6412

The factors of 1942 are 1, 2, 971, 1942

The HCF of 6412,1942 is 2.

Lets's calculate GCF of 6412,1942

Greatest Common Factor (GCF) of 6412,1942 By Common Division

2	6412, 1942
	3206, 971

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

Greatest Common Factor of 6412,1942 By Matching Biggest Common Factor Method

Now, list down the factors of 6412

1,2,4,7,14,28,229,458,916,1603,3206,6412

Now, list down the factors of 1942

1,2,971,1942

Greatest Common Factor

We found the factors 6412,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 6412,1942 is 2.

Lets's calculate LCM of 697,4563

Lowest Common Multiple of 697,4563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3180411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3180411

Therefore, the GCF of Fractions 6412/697,1942/4563 is 2/3180411

Least Common Multiple of 697,4563 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 697,4563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,4563) = 1

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

GCF(697,4563) x common factors =1 x 1 = 1

LCM(697,4563) = ( 697 × 4563 ) / 1

LCM(697,4563) = 3180411 / 1

LCM(697,4563) = 3180411

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FAQs on GCF of Fractions of 6412/697, 1942/4563

1. What is the HCF of 6412,1942?

The HCF of 6412,1942 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 6412/697, 1942/4563?

Answer: GCF of Numerators as per given numbers 6412/697, 1942/4563 is

GCF of Numerators i.e. for 6412,1942 is 2

LCM of denominators i.e. for 697,4563 is 3180411.

Thus, GCF of Fractions is 2/3180411.Finally, GCF of Fractions for 6412/697, 1942/4563 is 2/3180411.