How to Find GCF of 8822/813, 7687/1414?

GCF of 8822/813, 7687/1414

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 8822/813, 7687/1414 i.e 1/1149582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8822/813, 7687/1414.

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 8822/813,7687/1414?

Given fractions are 8822/813,7687/1414

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 8822/813,7687/1414, numerators are 8822,7687

Denominators are 813,1414

The GCF of 8822,7687 is 1 .

LCM of 813,1414 is 1149582.

The greatest common factor of 8822/813,7687/1414 = [GCF of 8822,7687]/[LCM of 813,1414]= 1/1149582

Therefore, the GCF of 8822/813,7687/1414 is 1/1149582.

Greatest Common Factor of 8822,7687

To find the highest common factor of 8822,7687, we have to find the factors of both numbers and list the highest common factor.

The factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822

The factors of 7687 are 1, 7687

The HCF of 8822,7687 is 1.

Lets's calculate GCF of 8822,7687

Greatest Common Factor (GCF) of 8822,7687 By Common Division

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

Greatest Common Factor of 8822,7687 By Matching Biggest Common Factor Method

Now, list down the factors of 8822

1,2,11,22,401,802,4411,8822

Now, list down the factors of 7687

1,7687

Greatest Common Factor

We found the factors 8822,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,7687 is 1.

Lets's calculate LCM of 813,1414

Lowest Common Multiple of 813,1414 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1149582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1149582

Therefore, the GCF of Fractions 8822/813,7687/1414 is 1/1149582

Least Common Multiple of 813,1414 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 813,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,1414) = 1

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

GCF(813,1414) x common factors =1 x 1 = 1

LCM(813,1414) = ( 813 × 1414 ) / 1

LCM(813,1414) = 1149582 / 1

LCM(813,1414) = 1149582

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FAQs on GCF of Fractions of 8822/813, 7687/1414

1. What is the HCF of 8822,7687?

The HCF of 8822,7687 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 8822/813, 7687/1414?

Answer: GCF of Numerators as per given numbers 8822/813, 7687/1414 is

GCF of Numerators i.e. for 8822,7687 is 1

LCM of denominators i.e. for 813,1414 is 1149582.

Thus, GCF of Fractions is 1/1149582.Finally, GCF of Fractions for 8822/813, 7687/1414 is 1/1149582.