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GCF of 5669/225, 8874/3953

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 5669/225, 8874/3953 i.e 1/889425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5669/225, 8874/3953.

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 5669/225,8874/3953?

Given fractions are 5669/225,8874/3953

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 5669/225,8874/3953, numerators are 5669,8874

Denominators are 225,3953

The GCF of 5669,8874 is 1 .

LCM of 225,3953 is 889425.

The greatest common factor of 5669/225,8874/3953 = [GCF of 5669,8874]/[LCM of 225,3953]= 1/889425

Therefore, the GCF of 5669/225,8874/3953 is 1/889425.

Greatest Common Factor of 5669,8874

To find the highest common factor of 5669,8874, we have to find the factors of both numbers and list the highest common factor.

The factors of 5669 are 1, 5669

The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

The HCF of 5669,8874 is 1.

Lets's calculate GCF of 5669,8874

Greatest Common Factor (GCF) of 5669,8874 By Common Division

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

Greatest Common Factor of 5669,8874 By Matching Biggest Common Factor Method

Greatest Common Factor of 5669,8874 By Matching Biggest Common Factor Method

Now, list down the factors of 5669

:

1,5669

Now, list down the factors of 8874

:

1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874

Greatest Common Factor

We found the factors 5669,8874 . The biggest common factor number is the GCF number.
So the greatest common factor 5669,8874 is 1.


Lets's calculate LCM of 225,3953

Lowest Common Multiple of 225,3953 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 889425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889425

Therefore, the GCF of Fractions 5669/225,8874/3953 is 1/889425

Least Common Multiple of 225,3953 with GCF Formula

Least Common Multiple of 225,3953 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 225,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,3953) = 1

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

GCF(225,3953) x common factors =1 x 1 = 1

LCM(225,3953) = ( 225 × 3953 ) / 1

LCM(225,3953) = 889425 / 1

LCM(225,3953) = 889425


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5669/225, 8874/3953

1. What is the HCF of 5669,8874?

The HCF of 5669,8874 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 5669/225, 8874/3953?

Answer: GCF of Numerators as per given numbers 5669/225, 8874/3953 is

GCF of Numerators i.e. for 5669,8874 is 1

LCM of denominators i.e. for 225,3953 is 889425.

Thus, GCF of Fractions is 1/889425.Finally, GCF of Fractions for 5669/225, 8874/3953 is 1/889425.