How to Find GCF of 8429/824, 6683/888?

GCF of 8429/824, 6683/888

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 8429/824, 6683/888 i.e 1/91464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8429/824, 6683/888.

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 8429/824,6683/888?

Given fractions are 8429/824,6683/888

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 8429/824,6683/888, numerators are 8429,6683

Denominators are 824,888

The GCF of 8429,6683 is 1 .

LCM of 824,888 is 91464.

The greatest common factor of 8429/824,6683/888 = [GCF of 8429,6683]/[LCM of 824,888]= 1/91464

Therefore, the GCF of 8429/824,6683/888 is 1/91464.

Greatest Common Factor of 8429,6683

To find the highest common factor of 8429,6683, we have to find the factors of both numbers and list the highest common factor.

The factors of 8429 are 1, 8429

The factors of 6683 are 1, 41, 163, 6683

The HCF of 8429,6683 is 1.

Lets's calculate GCF of 8429,6683

Greatest Common Factor (GCF) of 8429,6683 By Common Division

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

Greatest Common Factor of 8429,6683 By Matching Biggest Common Factor Method

Now, list down the factors of 8429

1,8429

Now, list down the factors of 6683

1,41,163,6683

Greatest Common Factor

We found the factors 8429,6683 . The biggest common factor number is the GCF number.
So the greatest common factor 8429,6683 is 1.

Lets's calculate LCM of 824,888

Lowest Common Multiple of 824,888 using Common Division

2	824, 888
2	412, 444
2	206, 222
	103, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 111 = 91464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91464

Therefore, the GCF of Fractions 8429/824,6683/888 is 1/91464

Least Common Multiple of 824,888 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 824,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,888) = 8

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

GCF(824,888) x common factors =8 x 1 = 8

LCM(824,888) = ( 824 × 888 ) / 8

LCM(824,888) = 731712 / 8

LCM(824,888) = 91464

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FAQs on GCF of Fractions of 8429/824, 6683/888

1. What is the HCF of 8429,6683?

The HCF of 8429,6683 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 8429/824, 6683/888?

Answer: GCF of Numerators as per given numbers 8429/824, 6683/888 is

GCF of Numerators i.e. for 8429,6683 is 1

LCM of denominators i.e. for 824,888 is 91464.

Thus, GCF of Fractions is 1/91464.Finally, GCF of Fractions for 8429/824, 6683/888 is 1/91464.