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GCF of 223/650, 3522/105

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 223/650, 3522/105 i.e 1/13650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/650, 3522/105.

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 223/650,3522/105?

Given fractions are 223/650,3522/105

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 223/650,3522/105, numerators are 223,3522

Denominators are 650,105

The GCF of 223,3522 is 1 .

LCM of 650,105 is 13650.

The greatest common factor of 223/650,3522/105 = [GCF of 223,3522]/[LCM of 650,105]= 1/13650

Therefore, the GCF of 223/650,3522/105 is 1/13650.

Greatest Common Factor of 223,3522

To find the highest common factor of 223,3522, we have to find the factors of both numbers and list the highest common factor.

The factors of 223 are 1, 223

The factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522

The HCF of 223,3522 is 1.

Lets's calculate GCF of 223,3522

Greatest Common Factor (GCF) of 223,3522 By Common Division

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

Greatest Common Factor of 223,3522 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,3522 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 3522

:

1,2,3,6,587,1174,1761,3522

Greatest Common Factor

We found the factors 223,3522 . The biggest common factor number is the GCF number.
So the greatest common factor 223,3522 is 1.

Lets's calculate LCM of 650,105

Lowest Common Multiple of 650,105 using Common Division

5 650, 105
130, 21

∴ So the LCM of the given numbers is 5 x 130 x 21 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13650

Therefore, the GCF of Fractions 223/650,3522/105 is 1/13650

Least Common Multiple of 650,105 with GCF Formula

Least Common Multiple of 650,105 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 650,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,105) = 5

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

GCF(650,105) x common factors =5 x 1 = 5

LCM(650,105) = ( 650 × 105 ) / 5

LCM(650,105) = 68250 / 5

LCM(650,105) = 13650


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FAQs on GCF of Fractions of 223/650, 3522/105

1. What is the HCF of 223,3522?

The HCF of 223,3522 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 223/650, 3522/105?

Answer: GCF of Numerators as per given numbers 223/650, 3522/105 is

GCF of Numerators i.e. for 223,3522 is 1

LCM of denominators i.e. for 650,105 is 13650.

Thus, GCF of Fractions is 1/13650.Finally, GCF of Fractions for 223/650, 3522/105 is 1/13650.