How to Find GCF of 5522/675, 6451/4185?

GCF of 5522/675, 6451/4185

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 5522/675, 6451/4185 i.e 1/20925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/675, 6451/4185.

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 5522/675,6451/4185?

Given fractions are 5522/675,6451/4185

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 5522/675,6451/4185, numerators are 5522,6451

Denominators are 675,4185

The GCF of 5522,6451 is 1 .

LCM of 675,4185 is 20925.

The greatest common factor of 5522/675,6451/4185 = [GCF of 5522,6451]/[LCM of 675,4185]= 1/20925

Therefore, the GCF of 5522/675,6451/4185 is 1/20925.

Greatest Common Factor of 5522,6451

To find the highest common factor of 5522,6451, we have to find the factors of both numbers and list the highest common factor.

The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522

The factors of 6451 are 1, 6451

The HCF of 5522,6451 is 1.

Lets's calculate GCF of 5522,6451

Greatest Common Factor (GCF) of 5522,6451 By Common Division

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

Greatest Common Factor of 5522,6451 By Matching Biggest Common Factor Method

Now, list down the factors of 5522

1,2,11,22,251,502,2761,5522

Now, list down the factors of 6451

1,6451

Greatest Common Factor

We found the factors 5522,6451 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,6451 is 1.

Lets's calculate LCM of 675,4185

Lowest Common Multiple of 675,4185 using Common Division

3	675, 4185
3	225, 1395
3	75, 465
5	25, 155
	5, 31

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 5 x 31 = 20925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20925

Therefore, the GCF of Fractions 5522/675,6451/4185 is 1/20925

Least Common Multiple of 675,4185 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 675,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,4185) = 135

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

GCF(675,4185) x common factors =135 x 1 = 135

LCM(675,4185) = ( 675 × 4185 ) / 135

LCM(675,4185) = 2824875 / 135

LCM(675,4185) = 20925

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5522/675, 6451/4185

1. What is the HCF of 5522,6451?

The HCF of 5522,6451 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 5522/675, 6451/4185?

Answer: GCF of Numerators as per given numbers 5522/675, 6451/4185 is

GCF of Numerators i.e. for 5522,6451 is 1

LCM of denominators i.e. for 675,4185 is 20925.

Thus, GCF of Fractions is 1/20925.Finally, GCF of Fractions for 5522/675, 6451/4185 is 1/20925.