How to Find GCF of 9077/661, 6822/504?

GCF of 9077/661, 6822/504

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 9077/661, 6822/504 i.e 1/333144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9077/661, 6822/504.

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 9077/661,6822/504?

Given fractions are 9077/661,6822/504

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 9077/661,6822/504, numerators are 9077,6822

Denominators are 661,504

The GCF of 9077,6822 is 1 .

LCM of 661,504 is 333144.

The greatest common factor of 9077/661,6822/504 = [GCF of 9077,6822]/[LCM of 661,504]= 1/333144

Therefore, the GCF of 9077/661,6822/504 is 1/333144.

Greatest Common Factor of 9077,6822

To find the highest common factor of 9077,6822, we have to find the factors of both numbers and list the highest common factor.

The factors of 9077 are 1, 29, 313, 9077

The factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822

The HCF of 9077,6822 is 1.

Lets's calculate GCF of 9077,6822

Greatest Common Factor (GCF) of 9077,6822 By Common Division

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

Greatest Common Factor of 9077,6822 By Matching Biggest Common Factor Method

Now, list down the factors of 9077

1,29,313,9077

Now, list down the factors of 6822

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Greatest Common Factor

We found the factors 9077,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 9077,6822 is 1.

Lets's calculate LCM of 661,504

Lowest Common Multiple of 661,504 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 333144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333144

Therefore, the GCF of Fractions 9077/661,6822/504 is 1/333144

Least Common Multiple of 661,504 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 661,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,504) = 1

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

GCF(661,504) x common factors =1 x 1 = 1

LCM(661,504) = ( 661 × 504 ) / 1

LCM(661,504) = 333144 / 1

LCM(661,504) = 333144

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FAQs on GCF of Fractions of 9077/661, 6822/504

1. What is the HCF of 9077,6822?

The HCF of 9077,6822 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 9077/661, 6822/504?

Answer: GCF of Numerators as per given numbers 9077/661, 6822/504 is

GCF of Numerators i.e. for 9077,6822 is 1

LCM of denominators i.e. for 661,504 is 333144.

Thus, GCF of Fractions is 1/333144.Finally, GCF of Fractions for 9077/661, 6822/504 is 1/333144.