How to Find GCF of 6341/907, 7689/822?

GCF of 6341/907, 7689/822

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 6341/907, 7689/822 i.e 1/745554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6341/907, 7689/822.

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 6341/907,7689/822?

Given fractions are 6341/907,7689/822

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 6341/907,7689/822, numerators are 6341,7689

Denominators are 907,822

The GCF of 6341,7689 is 1 .

LCM of 907,822 is 745554.

The greatest common factor of 6341/907,7689/822 = [GCF of 6341,7689]/[LCM of 907,822]= 1/745554

Therefore, the GCF of 6341/907,7689/822 is 1/745554.

Greatest Common Factor of 6341,7689

To find the highest common factor of 6341,7689, we have to find the factors of both numbers and list the highest common factor.

The factors of 6341 are 1, 17, 373, 6341

The factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689

The HCF of 6341,7689 is 1.

Lets's calculate GCF of 6341,7689

Greatest Common Factor (GCF) of 6341,7689 By Common Division

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

Greatest Common Factor of 6341,7689 By Matching Biggest Common Factor Method

Now, list down the factors of 6341

1,17,373,6341

Now, list down the factors of 7689

1,3,11,33,233,699,2563,7689

Greatest Common Factor

We found the factors 6341,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,7689 is 1.

Lets's calculate LCM of 907,822

Lowest Common Multiple of 907,822 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 745554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745554

Therefore, the GCF of Fractions 6341/907,7689/822 is 1/745554

Least Common Multiple of 907,822 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 907,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,822) = 1

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

GCF(907,822) x common factors =1 x 1 = 1

LCM(907,822) = ( 907 × 822 ) / 1

LCM(907,822) = 745554 / 1

LCM(907,822) = 745554

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FAQs on GCF of Fractions of 6341/907, 7689/822

1. What is the HCF of 6341,7689?

The HCF of 6341,7689 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 6341/907, 7689/822?

Answer: GCF of Numerators as per given numbers 6341/907, 7689/822 is

GCF of Numerators i.e. for 6341,7689 is 1

LCM of denominators i.e. for 907,822 is 745554.

Thus, GCF of Fractions is 1/745554.Finally, GCF of Fractions for 6341/907, 7689/822 is 1/745554.