How to Find GCF of 6803/626, 6674/9763?

GCF of 6803/626, 6674/9763

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 6803/626, 6674/9763 i.e 1/6111638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6803/626, 6674/9763.

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 6803/626,6674/9763?

Given fractions are 6803/626,6674/9763

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 6803/626,6674/9763, numerators are 6803,6674

Denominators are 626,9763

The GCF of 6803,6674 is 1 .

LCM of 626,9763 is 6111638.

The greatest common factor of 6803/626,6674/9763 = [GCF of 6803,6674]/[LCM of 626,9763]= 1/6111638

Therefore, the GCF of 6803/626,6674/9763 is 1/6111638.

Greatest Common Factor of 6803,6674

To find the highest common factor of 6803,6674, we have to find the factors of both numbers and list the highest common factor.

The factors of 6803 are 1, 6803

The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674

The HCF of 6803,6674 is 1.

Lets's calculate GCF of 6803,6674

Greatest Common Factor (GCF) of 6803,6674 By Common Division

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

Greatest Common Factor of 6803,6674 By Matching Biggest Common Factor Method

Now, list down the factors of 6803

1,6803

Now, list down the factors of 6674

1,2,47,71,94,142,3337,6674

Greatest Common Factor

We found the factors 6803,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 6803,6674 is 1.

Lets's calculate LCM of 626,9763

Lowest Common Multiple of 626,9763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6111638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6111638

Therefore, the GCF of Fractions 6803/626,6674/9763 is 1/6111638

Least Common Multiple of 626,9763 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 626,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,9763) = 1

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

GCF(626,9763) x common factors =1 x 1 = 1

LCM(626,9763) = ( 626 × 9763 ) / 1

LCM(626,9763) = 6111638 / 1

LCM(626,9763) = 6111638

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FAQs on GCF of Fractions of 6803/626, 6674/9763

1. What is the HCF of 6803,6674?

The HCF of 6803,6674 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 6803/626, 6674/9763?

Answer: GCF of Numerators as per given numbers 6803/626, 6674/9763 is

GCF of Numerators i.e. for 6803,6674 is 1

LCM of denominators i.e. for 626,9763 is 6111638.

Thus, GCF of Fractions is 1/6111638.Finally, GCF of Fractions for 6803/626, 6674/9763 is 1/6111638.