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GCF of 1822/183, 8699/8616

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 1822/183, 8699/8616 i.e 1/525576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1822/183, 8699/8616.

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 1822/183,8699/8616?

Given fractions are 1822/183,8699/8616

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 1822/183,8699/8616, numerators are 1822,8699

Denominators are 183,8616

The GCF of 1822,8699 is 1 .

LCM of 183,8616 is 525576.

The greatest common factor of 1822/183,8699/8616 = [GCF of 1822,8699]/[LCM of 183,8616]= 1/525576

Therefore, the GCF of 1822/183,8699/8616 is 1/525576.

Greatest Common Factor of 1822,8699

To find the highest common factor of 1822,8699, we have to find the factors of both numbers and list the highest common factor.

The factors of 1822 are 1, 2, 911, 1822

The factors of 8699 are 1, 8699

The HCF of 1822,8699 is 1.

Lets's calculate GCF of 1822,8699

Greatest Common Factor (GCF) of 1822,8699 By Common Division

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

Greatest Common Factor of 1822,8699 By Matching Biggest Common Factor Method

Greatest Common Factor of 1822,8699 By Matching Biggest Common Factor Method

Now, list down the factors of 1822

:

1,2,911,1822

Now, list down the factors of 8699

:

1,8699

Greatest Common Factor

We found the factors 1822,8699 . The biggest common factor number is the GCF number.
So the greatest common factor 1822,8699 is 1.

Lets's calculate LCM of 183,8616

Lowest Common Multiple of 183,8616 using Common Division

3 183, 8616
61, 2872

∴ So the LCM of the given numbers is 3 x 61 x 2872 = 525576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525576

Therefore, the GCF of Fractions 1822/183,8699/8616 is 1/525576

Least Common Multiple of 183,8616 with GCF Formula

Least Common Multiple of 183,8616 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 183,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,8616) = 3

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

GCF(183,8616) x common factors =3 x 1 = 3

LCM(183,8616) = ( 183 × 8616 ) / 3

LCM(183,8616) = 1576728 / 3

LCM(183,8616) = 525576


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FAQs on GCF of Fractions of 1822/183, 8699/8616

1. What is the HCF of 1822,8699?

The HCF of 1822,8699 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 1822/183, 8699/8616?

Answer: GCF of Numerators as per given numbers 1822/183, 8699/8616 is

GCF of Numerators i.e. for 1822,8699 is 1

LCM of denominators i.e. for 183,8616 is 525576.

Thus, GCF of Fractions is 1/525576.Finally, GCF of Fractions for 1822/183, 8699/8616 is 1/525576.