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GCF of 8223/774, 9311/8551

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 8223/774, 9311/8551 i.e 1/6618474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8223/774, 9311/8551.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8223/774,9311/8551?

Given fractions are 8223/774,9311/8551

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 8223/774,9311/8551, numerators are 8223,9311

Denominators are 774,8551

The GCF of 8223,9311 is 1 .

LCM of 774,8551 is 6618474.

The greatest common factor of 8223/774,9311/8551 = [GCF of 8223,9311]/[LCM of 774,8551]= 1/6618474

Therefore, the GCF of 8223/774,9311/8551 is 1/6618474.

Greatest Common Factor of 8223,9311

To find the highest common factor of 8223,9311, we have to find the factors of both numbers and list the highest common factor.

The factors of 8223 are 1, 3, 2741, 8223

The factors of 9311 are 1, 9311

The HCF of 8223,9311 is 1.

Lets's calculate GCF of 8223,9311

Greatest Common Factor (GCF) of 8223,9311 By Common Division

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

Greatest Common Factor of 8223,9311 By Matching Biggest Common Factor Method

Greatest Common Factor of 8223,9311 By Matching Biggest Common Factor Method

Now, list down the factors of 8223

:

1,3,2741,8223

Now, list down the factors of 9311

:

1,9311

Greatest Common Factor

We found the factors 8223,9311 . The biggest common factor number is the GCF number.
So the greatest common factor 8223,9311 is 1.

Lets's calculate LCM of 774,8551

Lowest Common Multiple of 774,8551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6618474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6618474

Therefore, the GCF of Fractions 8223/774,9311/8551 is 1/6618474

Least Common Multiple of 774,8551 with GCF Formula

Least Common Multiple of 774,8551 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 774,8551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,8551) = 1

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

GCF(774,8551) x common factors =1 x 1 = 1

LCM(774,8551) = ( 774 × 8551 ) / 1

LCM(774,8551) = 6618474 / 1

LCM(774,8551) = 6618474


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FAQs on GCF of Fractions of 8223/774, 9311/8551

1. What is the HCF of 8223,9311?

The HCF of 8223,9311 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 8223/774, 9311/8551?

Answer: GCF of Numerators as per given numbers 8223/774, 9311/8551 is

GCF of Numerators i.e. for 8223,9311 is 1

LCM of denominators i.e. for 774,8551 is 6618474.

Thus, GCF of Fractions is 1/6618474.Finally, GCF of Fractions for 8223/774, 9311/8551 is 1/6618474.